Digest of the Non Linear Science Network, Volume 18, Number 10 June 1, 2018 Editor: Angel Jorba Topics: International PhD School on Modeling Nature (MNat) Satellite Conference, Theoretical Neuroscience and its Applications Workshop, Inter-Facial Dynamics and FSI Problems Job opening at ICTP Open Postdoctoral positions in India Postdoc Positions, Wave phenomena: analysis and numerics Postdoc, Computational Hemodynamics, Hemostasis, and Thrombosis Postdoc Position, Time-parallel Methods for Weather Prediction Faculty Positions, Applied and Computational Mathematics Contents, Discrete & Continuous Dynamical Systems - B 23:5 Contents, Communications on Pure & Applied Analysis 17:5 Contents, Evolution Equations & Control Theory 7:2 Contents, Networks & Heterogeneous Media 13:2 Contents, Kinetic & Related Models 11:5 Contents, Journal of Geometric Mechanics 10:2 Contents, Numerical Algebra, Control & Optimization 8:2 Contents, Mathematical Biosciences & Engineering 15:5 Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: International PhD School on Modeling Nature (MNat) From: PDEs Group Date: Wed, 30 May 2018 20:07:46 +0200 Dear colleague, I would like to bring to your attention the announcement of the upcoming International PhD School on Modeling Nature (MNat) to be held in in Granada (Spain), 17 - 28 September 2018: http://www.modelingnature.org/training The school is centred on six sessions built around six respective multidisciplinary topics described below. Each session consists of two courses of about 3-5 hours plus some one-hour seminars. During the school, we will develop a workshop of young researchers. The of the PhD School are: Mathematical Models and Methods in Life Sciences Cell Communication and Tumor Growth Modeling Bio-Nanotechnology, Nanoparticles, and Synthetic Biology Complex Adaptive Systems at Multiple Scales in Evolutionary and Global Ecology Mathematical Models of Vision Scientific Effective Communication. Creativity in Science Workshop of Young Researchers There are 15 grants (registration and/or accommodation for up to 13 days) for students interested in attending the MNat PhD School. Deadline to apply for financial support: July 15th, 2018. We would be very grateful if you may share the information among your students and colleagues. Best regards, The organizers ------ Subject: Satellite Conference, Theoretical Neuroscience and its Applications From: Marco Javarone Date: Fri, 25 May 2018 14:02:21 +0200 Dear Colleagues, We would like to invite you to submit an abstract to our next Satellite "BrainComputing: Theoretical Neuroscience and its Applications" that will be take place during the International Conference on Complex Systems in Thessaloniki (23 - 28 September 2018). You can find more information here: www.braincomputing-satellite.com Abstract submission deadline: 19th June, 2018 Notification of acceptance: within the end of June, 2018 Satellite: 27th September, 2018 Can you please share this information with your contacts? Thanks for your collaboration and do not hesitate to contact us if you need more details. Best regards The organizers of BrainComputing ------ Subject: Workshop, Inter-Facial Dynamics and FSI Problems From: Chensong Zhang Date: May 22, 2018 We are organizing a workshop on inter-facial dynamics and fluid-structure interaction problems. The focus will be on different aspects of interface problems, free boundary and moving interface problems, and fluid- structure interactions including modeling and analysis, the related theory and analysis of partial differential equations (PDEs), various numerical methods, and applications. The interactions include fluid and fluid, fluid and solid, fluid and elasticity materials interactions. An important goal of this workshop is to foster collaboration between computational mathematicians and engineers. Invited Speakers: Francois Bouchon (Universite Clermont Auvergne, France); Thierry Coupez (CEMEF - MINES ParisTech, France); Philippe Devloo (University of Campinas, Brazil); Robert Dillon (Washington State Univ, USA); Kazufumi Ito (NC State, USA); Boo Cheong Khoo (NUS, Singapore); Zhilin Li (NC State, USA); John Lowengrub (UC Irvine, USA); Peter Minev (Univ of Alberta, Canada); Thomas Richter (University of Magdeburg, Germany); Lisl Weynans (University of Bordeaux, France); Jinchao Xu (Penn State Univ, USA). For more details, see http://lsec.cc.ac.cn/~zhangcs/pub/fsi2018/ ------ Subject: Job opening at ICTP From: Edgar Roldan Date: Fri, 11 May 2018 14:54:29 +0200 Dear all, We're looking for outstanding candidates in the areas of statistical physics and/or quantitative biology for a postdoctoral position at the Quantitative Life Sciences division in ICTP, starting Fall 2018: https://www.ictp.it/about-ictp/media-centre/news/2018/5/qls-postdocs-call.aspx Best regards, Edgar Roldan ------ Subject: Open Postdoctoral positions in India From: Shamik Gupta Date: Thu, 10 May 2018 22:08:06 +0530 Dear Colleagues, I would like to bring to your attention the opening of a few postdoctoral positions in the fields of statistical physics, nonlinear dynamics, gravitation and cosmology, and high-energy physics at the Department of Physics, Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, near Kolkata, INDIA. Applicants are expected to have strong research credentials, and will have the opportunity to engage in independent research, to collaborate with the young and active faculty as well as the doctoral fellows of the department and to take part in occasional teaching activities of the department. For details on the research being pursued in the department, please follow our departmental website: http://physics.rkmvu.ac.in/ Inquiries about the position may be made to Dr Shamik Gupta Asst. Professor in Physics. The Department of Physics has been running M.Phil. program in Physics since 2008 and regular M.Sc. and Ph.D. programs in physics since 2012, with our first batch of M. Sc. students graduating in 2014. The department has an extensive program of visiting scholars and scientists and has quite a few renowned teacher-researchers in various fields as Adjunct Professors and Young Associates. It organizes regular seminars, conferences and workshops in a broad range of topics. The department maintains strong research links with leading national and international research groups. The department is housed at the Belur campus of the university, with an ambiance that is not only picturesque and salubrious just next to the Ganges and the Belur Math, the Headquarters of the worldwide twin organizations, the Ramakrishna Math and the Ramakrishna Mission, but also elevating and peaceful-an ideal environ for academic and research activity. The campus is well connected by public transport to the heart of the city of Kolkata (for example, the campus is about half-hour drive from the Kolkata airport and places like New Town and Salk Lake). Eligibility: The applicant must have obtained a Ph.D. degree from a recognized University with preferably one stint of post-doctoral experience at any reputed University/Institute in India or abroad. Terms and conditions of the appointment The initial appointment of postdoctoral fellows will be for one year, renewable for one more year subject to satisfactory performance. We envisage a target starting date of 1 September 2018, but this is flexible. The starting fellowship is 50,000 INR per month (consolidated). In addition, the fellows will be offered a research grant of 1 lac INR per annum for attending international conferences and making collaborative research visits. Application procedure Application in English must be submitted electronically by sending an email to rkmveri@gmail.com, with a copy to debashis@rkmvu.ac.in and shamik.gupta@rkmvu.ac.in. The application must include the following: - Complete curriculum vita - Complete list of publications - Research plan - description of current and future research plans - Full contact information (name, address, telephone & email) of two professional referees who may be contacted for letters of reference (At the stage of applying for the position, please do not ask your references to send us any letter. On being short-listed, we will directly contact your referees for letters of reference.) - Preferences may be given to applicants applying for their second postdoctoral stint. The deadline for application is 31st July, 2018.Best regards, Shamik ------ Subject: Postdoc Positions, Wave phenomena: analysis and numerics From: Tanja Hagedorn Date: May 24, 2018 The CRC 1173 "Wave phenomena - analysis and numerics" is inviting applications, as soon as possible, for Postdoctoral Researchers in the Collaborative Research Center (CRC) 1173 "Wave phenomena - analysis and numerics". The full description can be found under the following link: http://www.waves.kit.edu/jobs.php ------ Subject: Postdoc, Computational Hemodynamics, Hemostasis, and Thrombosis From: Guowei Wei Date: May 15, 2018 I am seeking for an experienced postdoc to work on computational modeling of hemodynamics, hemostasis and/or thrombosis and their interactions with intervention drugs. The ideal candidate will hold a Ph.D. degree in computational biomechanics, or bioengineering, or mathematics, or computer science, or computational biophysics, or bioinformatics, have extensive experience in code development and have demonstrated the potential for excellence in research. Applications consisting of a letter of application, current vita, and descriptions of research plans and teaching experience should be submitted via www.mathjobs.org/jobs (Michigan State University). In addition, candidates should arrange for at least three letters of recommendations, which may be submitted on the same website. To receive full consideration the complete application must be received by June 20, 2018, but applications will be accepted until the position is filled. Please send an email to wei@math.msu.edu to acknowledge your application. Depending on experience, the annual salary is at least $48,000, in additional to standard faculty benefits. ------ Subject: Postdoc Position, Time-parallel Methods for Weather Prediction From: Colin Cotter Date: May 15, 2018 A postdoc position in time-parallel methods for numerical weather prediction is available to work with Dr Colin Cotter in the Department of Mathematics at Imperial College London. For more information, please see: https://www.imperial.ac.uk/jobs/description/NAT00175/research-associate-mathematics ------ Subject: Faculty Positions, Applied and Computational Mathematics From: Tiangang Cui Date: May 17, 2018 The School of Mathematical Sciences at Monash University invites applications for a number of continuing academic positions in Applied Mathematics at all levels. The school is currently going through a phase of significant growth that will reinforce its position as a research leader in Applied Mathematics. Research areas of interest include Mathematical Biology, Computational Mathematics, and related areas in Applied Mathematics. We are interested in outstanding academics who apply their mathematics research to problems in science, engineering, technology, and the biomedical sciences. These are continuing positions subject to probation review after five years. For more information, please see the details at the end of this email. Monash University is a leading Australian research university that ranks in the top-100 globally. Monash University is located in Melbourne, which is a major cosmopolitan centre and has been named the world's most liveable city for five years in a row. Application deadline is 8 July 2018. Professor/Associate Professor in Applied Mathematics (Mathematical Biology or Computational Mathematics) http://careers.pageuppeople.com/513/cw/en/job/576574/professor-associate-professor-in-applied-mathematics Lecturer/Senior Lecturer in Applied Mathematics (Mathematical Biology or Computational Mathematics) http://careers.pageuppeople.com/513/cw/en/job/576575/lecturersenior-lecturer-in-applied-mathematics-mathematical-biology-or-computational-mathematics Lecturer/Senior Lecturer in Applied Mathematics (Female Only) http://careers.pageuppeople.com/513/cw/en/job/576578/lecturersenior-lecturer-in-applied-mathematics-female-only ------ Subject: Contents, Discrete & Continuous Dynamical Systems - B 23:5 From: zhoucuixin Date: Sat, 26 May 2018 11:37:45 +0800 (CST) Discrete & Continuous Dynamical Systems - B (DCDS-B) July 2018, Volume 23, Issue 5 http://aimsciences.org/journal/1531-3492/2018/23/5 Special issue on dynamical systems on graphs 1. Preface: Special issue on dynamical systems on graphs Stefan Siegmund and Petr Stehlik 2018, 23(5): i-iii 2. Generalized network transport and Euler-Hille formula Jacek Banasiak and Aleksandra Puchalska 2018, 23(5): 1873-1893 3. On arbitrarily long periodic orbits of evolutionary games on graphs Jeremias Epperlein and Vladimir Svigler 2018, 23(5): 1895-1915 4. Approximating network dynamics: Some open problems Winfried Just 2018, 23(5): 1917-1930 5. Explosive synchronization in mono and multilayer networks Inmaculada Leyva, Irene Sendina-Nadal and Stefano Boccaletti 2018, 23(5): 1931-1944 6. Dynamical systems associated with adjacency matrices Delio Mugnolo 2018, 23(5): 1945-1973 7. Evolving multiplayer networks: Modelling the evolution of cooperation in a mobile population Karan Pattni, Mark Broom and Jan Rychtar 2018, 23(5): 1975-2004 8. On bounding exact models of epidemic spread on networks Peter L. Simon and Istvan Z. Kiss 2018, 23(5): 2005-2020 9. From coupled networks of systems to networks of states in phase space Oskar Weinberger and Peter Ashwin 2018, 23(5): 2021-2041 ------ Subject: Contents, Communications on Pure & Applied Analysis 17:5 From: zhoucuixin Date: Thu, 31 May 2018 15:29:44 +0800 (CST) Communications on Pure & Applied Analysis (CPAA) September 2018, Volume 17, Issue 5 http://www.aimsciences.org/journal/1534-0392/2018/17/5 1. Homoclinic solutions of discrete \phi-Laplacian equations with mixed nonlinearities Genghong Lin and Zhan Zhou 2018, 17(5): 1723-1747 2. On existence and nonexistence of positive solutions of an elliptic system with coupled terms Yayun Li and Yutian Lei 2018, 17(5): 1749-1764 3. Positive radial solutions of a nonlinear boundary value problem Patricio Cerda, Leonelo Iturriaga, Sebastian Lorca and Pedro Ubilla 2018, 17(5): 1765-1783 4. On the blow-up solutions for the fractional nonlinear Schrodinger equation with combined power-type nonlinearities Binhua Feng 2018, 17(5): 1785-1804 5. Global existence and blow-up of solutions to a singular Non-Newton polytropic filtration equation with critical and supercritical initial energy Guangyu Xu and Jun Zhou 2018, 17(5): 1805-1820 6. A free boundary problem for the Fisher-KPP equation with a given moving boundary Hiroshi Matsuzawa 2018, 17(5): 1821-1852 7. Global Carleman estimate for the Kawahara equation and its applications Peng Gao 2018, 17(5): 1853-1874 8. Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential Helin Guo, Yimin Zhang and Huansong Zhou 2018, 17(5): 1875-1897 9. Existence and asymptotic behaviors of traveling waves of a modified vector-disease model Zengji Du and Zhaosheng Feng 2018, 17(5): 1899-1920 10. Global synchronising behavior of evolution equations with exponentially growing nonautonomous forcing Xuewei Ju and Desheng Li 2018, 17(5): 1921-1944 11. A quasilinear parabolic problem with a source term and a nonlocal absorption Hui-Ling Li, Heng-Ling Wang and Xiao-Liu Wang 2018, 17(5): 1945-1956 12. Local Aronson-Benilan gradient estimates and Harnack inequality for the porous medium equation along Ricci flow Wen Wang, Dapeng Xie and Hui Zhou 2018, 17(5): 1957-1974 13. A blowup alternative result for fractional nonautonomous evolution equation of Volterra type Pengyu Chen, Xuping Zhang and Yongxiang Li 2018, 17(5): 1975-1992 14. The Malgrange-Ehrenpreis theorem for nonlocal Schrodinger operators with certain potentials Woocheol Choi and Yong-Cheol Kim 2018, 17(5): 1993-2010 15. Sharp Sobolev type embeddings on the entire Euclidean space Angela Alberico, Andrea Cianchi, Lubos Pick and Lenka Slavikova 2018, 17(5): 2011-2037 16. Exponential decay for the coupled Klein-Gordon-Schrodinger equations with locally distributed damping A. F. Almeida, M. M. Cavalcanti and J. P. Zanchetta 2018, 17(5): 2039-2061 17. On spike solutions for a singularly perturbed problem in a compact riemannian manifold Shengbing Deng, Zied Khemiri and Fethi Mahmoudi 2018, 17(5): 2063-2084 18. Concentration phenomena for critical fractional Schrodinger systems Vincenzo Ambrosio 2018, 17(5): 2085-2123 19. Order preservation for path-distribution dependent SDEs Xing Huang, Chang Liu and Feng-Yu Wang 2018, 17(5): 2125-2133 20. A note concerning a property of symplectic matrices Bjorn Gebhard 2018, 17(5): 2135-2137 21. Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms Tetsutaro Shibata 2018, 17(5): 2139-2147 22. Double bifurcation diagrams and four positive solutions of nonlinear boundary value problems via time maps Xuemei Zhang and Meiqiang Feng 2018, 17(5): 2149-2171 23. Specified homogenization of a discrete traffic model leading to an effective junction condition Nicolas Forcadel, Wilfredo Salazar and Mamdouh Zaydan 2018, 17(5): 2173-2206 24. Local inversion of a class of piecewise regular maps Laura Poggiolini and Marco Spadini 2018, 17(5): 2207-2224 ------ Subject: Contents, Evolution Equations & Control Theory 7:2 From: zhoucuixin Date: Wed, 23 May 2018 17:11:08 +0800 (CST) Evolution Equations & Control Theory (EECT) June 2018, Volume 7, Issue 2 http://aimsciences.org/journal/A0000-0000/2018/7/2 1. On state-dependent sweeping process in Banach spaces Dalila Azzam-Laouir and Fatiha Selamnia 2018, 7(2): 183-196 2. The recovery of a parabolic equation from measurements at a single point Amin Boumenir, Vu Kim Tuan and Nguyen Hoang 2018, 7(2): 197-216 3. Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics Michele Colturato 2018, 7(2): 217-245 4. Robust Stackelberg controllability for linear and semilinear heat equations Victor Hernandez-Santamaria and Luz de Teresa 2018, 7(2): 247-273 5. On the lifespan of strong solutions to the periodic derivative nonlinear Schrodinger equation Kazumasa Fujiwara and Tohru Ozawa 2018, 7(2): 275-280 6. On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions Tae Gab Ha 2018, 7(2): 281-291 7. Asymptotic behavior of a hierarchical size-structured population model Dongxue Yan and Xianlong Fu 2018, 7(2): 293-316 8. Optimal nonlinearity control of Schrodinger equation Kai Wang, Dun Zhao and Binhua Feng 2018, 7(2): 317-334 ------ Subject: Contents, Networks & Heterogeneous Media 13:2 From: zhoucuixin Date: Sat, 26 May 2018 10:18:48 +0800 (CST) Networks & Heterogeneous Media (NHM) June 2018, Volume 13, Issue 2 http://aimsciences.org/journal/1556-1801/2018/13/2 1. Functional model for extensions of symmetric operators and applications to scattering theory Kirill D. Cherednichenko, Alexander V. Kiselev and Luis O. Silva 2018, 13(2): 191-215 2. A two-dimensional data-driven model for traffic flow on highways Michael Herty, Adrian Fazekas and Giuseppe Visconti 2018, 13(2): 217-240 3. Stability and implementation of a cycle-based max pressure controller for signalized traffic networks Leah Anderson, Thomas Pumir, Dimitrios Triantafyllos and Alexandre M. Bayen 2018, 13(2): 241-260 4. Error bounds for Kalman filters on traffic networks Ye Sun and Daniel B. Work 2018, 13(2): 261-295 5. Uniform stability and mean-field limit for the augmented Kuramoto model Seung-Yeal Ha, Jeongho Kim, Jinyeong Park and Xiongtao Zhang 2018, 13(2): 297-322 6. Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring Xiaoxue Zhao, Zhuchun Li and Xiaoping Xue 2018, 13(2): 323-337 7. A conservation law with multiply discontinuous flux modelling a flotation column Raimund Burger, Stefan Diehl and Maria Carmen Marti 2018, 13(2): 339-371 8. Corrigendum to "(Almost) everything you always wanted to know about deterministic control problems in stratified domains" Guy Barles and Emmanuel Chasseigne 2018, 13(2): 373-378 ------ Subject: Contents, Kinetic & Related Models 11:5 From: zhoucuixin Date: Tue, 29 May 2018 09:09:34 +0800 (CST) Kinetic & Related Models (KRM) October 2018, Volume 11, Issue 5 http://aimsciences.org/journal/1937-5093/2018/11/5 1. On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field Simone Calogero and Stephen Pankavich 2018, 11(5): 1063-1083 2. Boundary layers and stabilization of the singular Keller-Segel system Hongyun Peng, Zhi-An Wang, Kun Zhao and Changjiang Zhu 2018, 11(5): 1085-1123 3. A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation Prasanta Kumar Barik and Ankik Kumar Giri 2018, 11(5): 1125-1138 4. Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling Liu Liu 2018, 11(5): 1139-1156 5. Uniform stability of the Cucker-Smale model and its application to the Mean-Field limit Seung-Yeal Ha, Jeongho Kim and Xiongtao Zhang 2018, 11(5): 1157-1181 6. On global solutions to the Vlasov-Poisson system with radiation damping Meixia Xiao and Xianwen Zhang 2018, 11(5): 1183-1209 7. A deterministic-stochastic method for computing the Boltzmann collision integral in O(MN)O(MN) operations Alexander Alekseenko, Truong Nguyen and Aihua Wood 2018, 11(5): 1211-1234 8. Stability of traveling waves for nonlocal time-delayed reaction-diffusion equations Yicheng Jiang and Kaijun Zhang 2018, 11(5): 1235-1253 9. Second-order mixed-moment model with differentiable ansatz function in slab geometry Florian Schneider 2018, 11(5): 1255-1276 ------ Subject: Contents, Journal of Geometric Mechanics 10:2 From: zhoucuixin Date: Thu, 31 May 2018 14:56:32 +0800 (CST) Journal of Geometric Mechanics (JGM) June 2018, Volume 10, Issue 2 http://www.aimsciences.org/journal/1941-4889/2018/10/2 1. A note on time-optimal paths on perturbed spheroid Piotr Kopacz 2018, 10(2): 139-172 2. Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems Bozzidar Jovanovic 2018, 10(2): 173-187 3. Vortex pairs on a triaxial ellipsoid and Kimura's conjecture Adriano Regis Rodrigues, Cesar Castilho and Jair Koiller 2018, 10(2): 189-208 4. A note on the normalization of generating functions Simone Vazzoler 2018, 10(2): 209-215 5. Double groupoids and the symplectic category Santiago Canez 2018, 10(2): 217-250 ------ Subject: Contents, Numerical Algebra, Control & Optimization 8:2 From: zhoucuixin Date: Thu, 31 May 2018 15:10:45 +0800 (CST) Numerical Algebra, Control & Optimization (NACO) June 2018, Volume 8, Issue 2 http://www.aimsciences.org/journal/2155-3289/2018/8/2 1. Fuzzy target-environment networks and fuzzy-regression approaches Erik Kropat and Gerhard Wilhelm Weber 2018, 8(2): 135-155 2. A three echelon revenue oriented green supply chain network design Ashkan Mohsenzadeh Ledari, Alireza Arshadi Khamseh and Mohammad Mohammadi 2018, 8(2): 157-168 3. An integrated inventory model with variable holding cost under two levels of trade-credit policy Magfura Pervin, Sankar Kumar Roy and Gerhard Wilhelm Weber 2018, 8(2): 169-191 4. An optimal control problem by parabolic equation with boundary smooth control and an integral constraint Alexander Arguchintsev and Vasilisa Poplevko 2018, 8(2): 193-202 5. New bounds for eigenvalues of strictly diagonally dominant tensors Yining Gu and Wei Wu 2018, 8(2): 203-210 6. Asymptotic properties of an infinite horizon partial cheap control problem for linear systems with known disturbances Valery Y. Glizer and Oleg Kelis 2018, 8(2): 211-235 7. Experiments with sparse Cholesky using a sequential task-flow implementation Iain Duff, Jonathan Hogg and Florent Lopez 2018, 8(2): 237-260 8. On the extension of an arc-search interior-point algorithm for semidefinite optimization Behrouz Kheirfam and Morteza Moslemi 2018, 8(2): 261-275 ------ Subject: Contents, Mathematical Biosciences & Engineering 15:5 From: zhoucuixin Date: Fri, 1 Jun 2018 10:37:26 +0800 (CST) Mathematical Biosciences & Engineering (MBE) October 2018, Volume 15, Issue 5 http://www.aimsciences.org/journal/1551-0018/2018/15/5 1. Mathematical modelling of cardiac pulse wave reflections due to arterial irregularities Alexandre Cornet 2018, 15(5): 1055-1076 2. Stochastic dynamics and survival analysis of a cell population model with random perturbations Cristina Anton and Alan Yong 2018, 15(5): 1077-1098 3. An age-structured vector-borne disease model with horizontal transmission in the host Xia Wang and Yuming Chen 2018, 15(5): 1099-1116 4. Modelling chemistry and biology after implantation of a drug-eluting stent. Part II: Cell proliferation Adam Peddle, William Lee and Tuoi Vo 2018, 15(5): 1117-1135 5. Optimal control problems with time delays: Two case studies in biomedicine Laurenz Gollmann and Helmut Maurer 2018, 15(5): 1137-1154 6. A stochastic model for water-vegetation systems and the effect of decreasing precipitation on semi-arid environments Shannon Dixon, Nancy Huntly, Priscilla E. Greenwood and Luis F. Gordillo 2018, 15(5): 1155-1164 7. Quantifying the impact of early-stage contact tracing on controlling Ebola diffusion Narges Montazeri Shahtori, Tanvir Ferdousi, Caterina Scoglio and Faryad Darabi Sahneh 2018, 15(5): 1165-1180 8. Dynamics of delayed mosquitoes populations models with two different strategies of releasing sterile mosquitoes Liming Cai, Shangbing Ai and Guihong Fan 2018, 15(5): 1181-1202 9. A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis Jozsef Z. Farkas, Gary T. Smith and Glenn F. Webb 2018, 15(5): 1203-1224 10. Analysis of a mathematical model for brain lactate kinetics Carole Guillevin, Remy Guillevin, Alain Miranville and Angelique Perrillat-Mercerot 2018, 15(5): 1225-1242 11. The four-dimensional Kirschner-Panetta type cancer model: How to obtain tumor eradication? Alexander P. Krishchenko and Konstantin E. Starkov 2018, 15(5): 1243-1254 12. The mean and noise of stochastic gene transcription with cell division Qi Wang, Lifang Huang, Kunwen Wen and Jianshe Yu 2018, 15(5): 1255-1270