Digest of the Non Linear Science Network, Volume 13, Number 08 May 1, 2013 Editor: Angel Jorba Topics: Summer school, Mathematics of Planet Earth Workshop on Uncertainty in Interaction Networks Workshop on Time Delay Systems. Stability & Control in Applications Workshop on the Boltzmann Equation 2nd IMA Conference on Dense Granular Flows Lecturer Position, Mathematics, Univ of Chester Postdoc Position, Uncertainty Quantification, Univ of Liege Contents, Discrete and Continuous Dynamical Systems - Series A 33:10 Contents, Networks and Heterogeneous Media 8:1 Contents, Mathematical Biosciences and Engineering 10:3 Contents, Journal of Industrial and Management Optimization 9:3 Contents, Numerical Algebra, Control and Optimization 3:2 Contents, Nonlinear Analysis: Modelling and Control 18:2 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: Summer school, Mathematics of Planet Earth From: PDEs Group Date: Thu, 18 Apr 2013 10:09:54 +0200 Dear colleague, We would like to bring to your attention the upcoming edition of School "Luis Santalo": Mathematics of Planet Earth: Scientific challenges in a sustainable planet. A RSME-FisyMat-UIMP Joint Activities in the framework of the 2013 Mathematics of Planet Earth Initiative The conference will be held in Santander (SPAIN), at the Palacio de la Magdalena in Santander, July 15 -19, 2013. There are some registration + accomodation grants for students interested in attending the School. - Jordi Bascompte (Integrative Ecology Group, Estacion Biologica de Do\~nana, CSIC, Spain): The Mathematics of Biodiversity - Nicola Bellomo (Politecnico di Torino, Torino, Italy): Towars a Theory of Complex Living Beings - Joel Brown (UIC Biological Sciences, University of Illinois at Chicago, USA): Evolutionary Game Theory: From Life on Earth to Pest Management and Cancer - Juan Manuel Garcia Ruiz (CSIC and University of Granada, Spain): Patterns on the Rocks - Robert Gatenby (Moffitt Cancer Centre, Tampa, Florida, USA): Living with your Enemy - Jorge M. Pacheco (University of Minho, Portugal): Evolution of Diversity and Cooperation - Eitan Tadmor (Center for Scientific Computation and Mathematical Modelling, University of Maryland, USA): Consensus and Flocking in Self-Alignment Dynamics For more info:http://www.ugr.es/local/kinetic/santalo/ Best regards, The organizers ------ Subject: Workshop on Uncertainty in Interaction Networks From: Jonathan Dawes Date: Fri, 26 Apr 2013 16:42:01 +0100 (BST) University of Bath Centre for Networks and Collective Behaviour The University of Bath has recently brought together a number of strands of research activity into a newly-created Centre for Networks and Collective Behaviour (CNCB). As part of the launch of the Centre we have a short two-day workshop scheduled for Wednesday 12 - Thursday 13 June 2013. There is financial support available for graduate students. Prof Robert May (Oxford) has accepted our invitation to give the keynote presentation and his title is 'Complexity, Uncertainty, and Consequent Fragility in Financial Networks'. Further details of the event 12-13 June, including a list of invited speakers and poster downloads, can be found at go.bath.ac.uk/networks-conference Details of the Centre for Networks and Collective Behaviour can be found at www.bath.ac.uk/research/cncb We look forward to seeing you in Bath in June! Best wishes, Alastair Spence, Jonathan Dawes, Dick James, Tim Rogers ------ Subject: Workshop on Time Delay Systems. Stability & Control in Applications From: Rifat Sipahi Date: Tue, 30 Apr 2013 17:38:12 -0400 July 16, 2013 - 9.00 am - 5.30 pm ETH, Zurich, Switzerland Lecturers: - Fatihcan M. Atay, Germany - Dimitri Breda, Italy - Wim Michiels, Belgium - Silviu-Iulian Niculescu, France - Hitay Ozbay, Turkey - Rifat Sipahi, USA The workshop will be held preceding the European Control Conference (http://www.ecc13.ch/) that will be held in Zurich, Switzerland, July 17-19, 2013. Details of the Workshop can be found at www.coe.neu.edu/~rifat ------ Subject: Workshop on the Boltzmann Equation From: Alexander Alekseenko Date: Wed, 24 Apr 2013 11:52:38 -0400 We would like to invite all those whose research is concerned with the solution of the Boltzmann equation (BE) and with applications of BE to simulation of non-continuum gas flows to participate in the workshop held in the Institute for Computational and Experimental Research in Mathematics (ICERM) at Brown University on June 3--7, 2013. The speakers at the workshop will communicate the most recent developments in the area of the numerical solution of the Boltzmann equation in application to simulation of non-continuum flows. Topics of the workshop will include: different forms of the Boltzmann equation; reduced order models for the Boltzmann equation; fast evaluation of the Boltzmann collision integral; simulations that account for real gas effects and chemical and electromagnetic interaction of particles; complex geometry simulations; coupling of continuum and non-continuum models; and quantification of numerical error and uncertainty of simulations. The workshop description and schedule can be found at the link below http://icerm.brown.edu/tw13-1-isbeaa To register, please, use the link "CLICK HERE TO PARTICIPATE" located in the upper right corner of the workshop webpage. Additional inquiries are welcome at alexander.alekseenko@csun.edu ------ Subject: 2nd IMA Conference on Dense Granular Flows From: Pamela Bye Date: Fri, 26 Apr 2013 06:52:56 -0400 2ND IMA CONFERENCE ON DENSE GRANULAR FLOWS Monday 1 - Thursday 4 July 2013 Isaac Newton Institute for Mathematical Sciences, Cambridge, UK Themes will include dense granular flow, biological systems, self-propelled particles and geological flows, exploring new developments in theoretical analysis and experimental techniques. All attendees will be provided with an opportunity to present recent work and there will be substantial time for discussion, both during the workshop and during the evening! Postgraduate and PhD students are particularly welcomed and oral presentations will reflect the breadth of the field. Confirmed Invited Speakers: Paulo Arratia (University of Pennsylvania); Vicente Garzo (University of Extremadura); Michel Louge (Cornell University); Jean-Noel Roux (IFSTTAR); Martin van Hecke (Leiden Institute of Physics) Registration is now open. To register, please download, complete and return an application form from the conference webpage either via e-mail, fax or by post (details available below). For further information on this conference, please visit: http://www.ima.org.uk/conferences/conferences_calendar/dense_granular_flows.cfm For general conference queries please contact Lizzi Lake, Conference Officer E-mail: conferences@ima.org.uk Tel: +44 (0) 1702 354 020 ------ Subject: Lecturer Position, Mathematics, Univ of Chester From: Jason Roberts Date: Mon, 15 Apr 2013 04:22:04 -0400 Further information available at www.chester.ac.uk Job Details The Department of Mathematics is seeking to appoint a lecturer to teach on both the undergraduate and postgraduate curricula, as well as contribute to the department's research, which focuses on Computational and Applied Mathematics. In particular, the Mathematics research group at Chester is primarily interested in Numerical Analysis and the Mathematics of Biological Systems. This post offers an excellent opportunity to contribute to all aspects of the work of a growing department and you will be expected to contribute to the Department's on-going research. You must possess a PhD in Mathematics. Experience of teaching University mathematics will be an advantage, as will evidence of (or evidence of potential for) publishing research results. ------ Subject: Postdoc Position, Uncertainty Quantification, Univ of Liege From: Maarten Arnst Date: Thu, 18 Apr 2013 04:24:02 -0400 A postdoc position in uncertainty quantification is available at the Department of Aerospace and Mechanical Engineering of the University of Liege, Belgium. The postdoc will join one or more collaborative projects aimed at developing uncertainty quantification tools for addressing challenges posed by uncertainties in one or more of the departmental focus areas including (but not limited to) microelectromechanical systems, metal forming, aerospace applications, energy applications, and biomechanics. Depending on his or her interest, the postdoc will have the opportunity to investigate modeling challenges, work on algorithms and high-performance-computing issues, or address application-oriented aspects. Candidates may contact Maarten Arnst (maarten.arnst@ulg.ac.be) to obtain more information about this position, as well as to apply. The position is a one-year position and is available with a starting date in Fall 2013. ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 33:10 From: Liwei Ning Date: Fri, 26 Apr 2013 15:41:06 -0500 Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Volume: 33, Number: 10 October 2013 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=595 1. An introduction to migration-selection PDE models Pages : 4349 - 4373 Yuan Lou, Thomas Nagylaki and Wei-Ming Ni 2. Pentagonal domain exchange Pages : 4375 - 4400 Shigeki Akiyama and Edmund Harriss 3. On the large deviation rates of non-entropy-approachable measures Pages : 4401 - 4410 Masayuki Asaoka and Kenichiro Yamamoto 4. Construction of response functions in forced strongly dissipative systems Pages : 4411 - 4433 Renato C. Calleja, Alessandra Celletti and Rafael de la Llave 5. About the unfolding of a Hopf-zero singularity Pages : 4435 - 4471 Freddy Dumortier, Santiago Ibanez, Hiroshi Kokubu and Carles Simo 6. Dispersive estimates for matrix Schrodinger operators in dimension two Pages : 4473 - 4495 M. Burak Erdogan and William R. Green 7. Weak solutions of a gas-liquid drift-flux model with general slip law for wellbore operations Pages : 4497 - 4530 Steinar Evje and Huanyao Wen 8. Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems Pages : 4531 - 4547 Jaume Gine, Maite Grau and Jaume Llibre 9. A Liouville theorem of degenerate elliptic equation and its application Pages : 4549 - 4566 Genggeng Huang 10. An equivalent characterization of the summability condition for rational maps Pages : 4567 - 4578 Huaibin Li 11. Statistical stability for multi-substitution tiling spaces Pages : 4579 - 4594 Rui Pacheco and Helder Vilarinho 12. Canard trajectories in 3D piecewise linear systems Pages : 4595 - 4611 Rafel Prohens and Antonio E. Teruel 13. Existence and uniqueness of singular solution to stationary Schrodinger equation with supercritical nonlinearity Pages : 4613 - 4626 Fouad Hadj Selem, Hiroaki Kikuchi and Juncheng Wei 14. Persistence and global stability for a class of discrete time structured population models Pages : 4627 - 4646 Hal L. Smith and Horst R. Thieme 15. Continuity of Hausdorff measure for conformal dynamical systems Pages : 4647 - 4692 Tomasz Szarek, Mariusz Urbanski and Anna Zdunik 16. Global asymptotic dynamics of a class of nonlinearly coupled neural networks with delays Pages : 4693 - 4729 Jui-Pin Tseng 17. Expansion growth, entropy and invariant measures of distal groups and pseudogroups of homeo- and diffeomorphisms Pages : 4731 - 4742 Pawel G. Walczak 18. Zero-electron-mass limit of Euler-Poisson equations Pages : 4743 - 4768 Jiang Xu and Ting Zhang 19. Ray and heteroclinic solutions of Hamiltonian systems with 2 degrees of freedom Pages : 4769 - 4793 Guowei Yu ------ Subject: Contents, Networks and Heterogeneous Media 8:1 From: Liwei Ning Date: Tue, 23 Apr 2013 12:11:28 -0500 Networks and Heterogeneous Media (NHM) Volume: 8, Number: 1 March 2013 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=592 1. Preface Pages : i - iii Henri Berestycki, Danielle Hilhorst, Frank Merle, Masayasu Mimura and Khashayar Pakdaman 2. Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow Pages : 1 - 8 Sigurd Angenent 3. A nonlinear partial differential equation for the volume preserving mean curvature flow Pages : 9 - 22 Dimitra Antonopoulou and Georgia Karali 4. Reaction-diffusion waves with nonlinear boundary conditions Pages : 23 - 35 Narcisa Apreutesei and Vitaly Volpert 5. The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison Pages : 37 - 64 Lubomir Banas, Amy Novick-Cohen and Robert Nurnberg 6. Growth regulation and the insulin signaling pathway Pages : 65 - 78 Peter W. Bates, Yu Liang and Alexander W. Shingleton 7. Traveling fronts guided by the environment for reaction-diffusion equations Pages : 79 - 114 Henri Berestycki and Guillemette Chapuisat 8. Homogenized description of multiple Ginzburg-Landau vortices pinned by small holes Pages : 115 - 130 Leonid Berlyand and Volodymyr Rybalko 9. Modeling contact inhibition of growth: Traveling waves Pages : 131 - 147 Michiel Bertsch, Masayasu Mimura and Tohru Wakasa 10. Archimedean copula and contagion modeling in epidemiology Pages : 149 - 170 Jacques Demongeot, Mohamad Ghassani, Mustapha Rachdi, Idir Ouassou and Carla Taramasco 11. Multiple travelling waves for an SI-epidemic model Pages : 171 - 190 Arnaud Ducrot, Michel Langlais and Pierre Magal 12. Effect of boundary conditions on the dynamics of a pulse solution for reaction-diffusion systems Pages : 191 - 209 Shin-Ichiro Ei and Toshio Ishimoto 13. A spatialized model of visual texture perception using the structure tensor formalism Pages : 211 - 260 Gregory Faye and Pascal Chossat 14. Stochastic control of traffic patterns Pages : 261 - 273 Yuri B. Gaididei, Carlos Gorria, Rainer Berkemer, Peter L. Christiansen, Atsushi Kawamoto, Mads P. Sorensen and Jens Starke 15. A short proof of the logarithmic Bramson correction in Fisher-KPP equations Pages : 275 - 289 Francois Hamel, James Nolen, Jean-Michel Roquejoffre and Lenya Ryzhik 16. The existence and uniqueness of unstable eigenvalues for stripe patterns in the Gierer-Meinhardt system Pages : 291 - 325 Kota Ikeda 17. Spread of viral infection of immobilized bacteria Pages : 327 - 342 Don A. Jones, Hal L. Smith and Horst R. Thieme 18. Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity Pages : 343 - 378 John R. King 19. Traveling fronts of pyramidal shapes in competition-diffusion systems Pages : 379 - 395 Wei-Ming Ni and Masaharu Taniguchi 20. Pattern forming instabilities driven by non-diffusive interactions Pages : 397 - 432 Ivano Primi, Angela Stevens and Juan J. L. Velazquez ------ Subject: Contents, Mathematical Biosciences and Engineering 10:3 From: Liwei Ning Date: Fri, 26 Apr 2013 15:30:45 -0500 Mathematical Biosciences and Engineering (MBE) Volume: 10, Number: 3 June 2013 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=593 1. From the guest editors Pages : i - ii Urszula Ledzewicz, Avner Friedman, Jacek Banasiak, Heinz Schattler and Edward M. Lungu 2. A singularly perturbed SIS model with age structure Pages : 499 - 521 Jacek Banasiak, Eddy Kimba Phongi and Miroslaw Lachowicz 3. Diffusion rate determines balance between extinction and proliferation in birth-death processes Pages : 523 - 550 Hilla Behar, Alexandra Agranovich and Yoram Louzoun 4. Gompertz model with delays and treatment: Mathematical analysis Pages : 551 - 563 Marek Bodnar, Monika Joanna Piotrowska and Urszula Forys 5. Mathematical modeling of glioma therapy using oncolytic viruses Pages : 565 - 578 Baba Issa Camara, Houda Mokrani and Evans K. Afenya 6. Identifying preseizure state in intracranial EEG data using diffusion kernels Pages : 579 - 590 Dominique Duncan, Ronen Talmon, Hitten P. Zaveri and Ronald R. Coifman 7. A partial differential equation model of metastasized prostatic cancer Pages : 591 - 608 Avner Friedman and Harsh Vardhan Jain 8. Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha? Pages : 609 - 624 Avner Friedman and Edward M. Lungu 9. Identifying requirements for the invasion of a tick species and tick-borne pathogen through TICKSIM Pages : 625 - 635 Holly Gaff and Robyn Nadolny 10. Finite element approximation of a population spatial adaptation model Pages : 637 - 647 Gonzalo Galiano and Julian Velasco 11. Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms Pages : 649 - 665 Alberto Gambaruto, Joao Janela, Alexandra Moura and Adelia Sequeira 12. On the sensitivity of feature ranked lists for large-scale biological data Pages : 667 - 690 Danuta Gawel and Krzysztof Fujarewicz 13. An example from the world of tsetse flies Pages : 691 - 704 John Hargrove 14. Mathematical modeling of citrus groves infected by huanglongbing Pages : 705 - 728 Karly Jacobsen, Jillian Stupiansky and Sergei S. Pilyugin 15. Hybrid discrete-continuous model of invasive bladder cancer Pages : 729 - 742 Eugene Kashdan and Svetlana Bunimovich-Mendrazitsky 16. Calcium waves with mechano-chemical couplings Pages : 743 - 759 Bogdan Kazmierczak and Zbigniew Peradzynski 17. Spatial stochastic models of cancer: Fitness, migration, invasion Pages : 761 - 775 Natalia L. Komarova 18. Equilibrium solutions for microscopic stochastic systems in population dynamics Pages : 777 - 786 Miroslaw Lachowicz and Tatiana Ryabukha 19. On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth Pages : 787 - 802 Urszula Ledzewicz, Omeiza Olumoye and Heinz Schattler 20. On the MTD paradigm and optimal control for multi-drug cancer chemotherapy Pages : 803 - 819 Urszula Ledzewicz, Heinz Schattler, Mostafa Reisi Gahrooi and Siamak Mahmoudian Dehkordi 21. Modeling bacterial attachment to surfaces as an early stage of biofilm development Pages : 821 - 842 Fadoua El Moustaid, Amina Eladdadi and Lafras Uys 22. Modelling the role of drug barons on the prevalence of drug epidemics Pages : 843 - 860 John Boscoh H. Njagarah and Farai Nyabadza 23. A simple model of carcinogenic mutations with time delay and diffusion Pages : 861 - 872 Monika Joanna Piotrowska, Urszula Forys, Marek Bodnar and Jan Poleszczuk 24. Application of evolutionary games to modeling carcinogenesis Pages : 873 - 911 Andrzej Swierniak and Michal Krzeslak 25. A flexible multivariable model for Phytoplankton growth Pages : 913 - 923 Mohammad A. Tabatabai, Wayne M. Eby, Sejong Bae and Karan P. Singh 26. T model of growth and its application in systems of tumor-immune dynamics Pages : 925 - 938 Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh and Sejong Bae 27. Computational modeling approaches to studying the dynamics of oncolytic viruses Pages : 939 - 957 Dominik Wodarz ------ Subject: Contents, Journal of Industrial and Management Optimization 9:3 From: Liwei Ning Date: Wed, 1 May 2013 09:13:11 -0500 Journal of Industrial and Management Optimization (JIMO) Volume: 9, Number: 3 July 2013 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=596 1. Control parametrization and finite element method for controlling multi-species reactive transport in a circular pool Pages : 505 - 523 Heung Wing Joseph Lee, Chi Kin Chan, Karho Yau, Kar Hung Wong and Colin Myburgh 2. Strong duality theorem for multiobjective higher order nondifferentiable symmetric dual programs Pages : 525 - 530 Xinmin Yang, Jin Yang and Heung Wing Joseph Lee 3. A conic approximation method for the 0-1 quadratic knapsack problem Pages : 531 - 547 Jing Zhou, Dejun Chen, Zhenbo Wang and Wenxun Xing 4. American type geometric step options Pages : 549 - 560 Xiaoyu Xing and Hailiang Yang 5. A log-exponential regularization method for a mathematical program with general vertical complementarity constraints Pages : 561 - 577 Jie Zhang, Shuang Lin and Liwei Zhang 6. On the robust control design for a class of nonlinearly affine control systems: The attractive ellipsoid approach Pages : 579 - 593 Vadim Azhmyakov, Alex Poznyak and Omar Gonzalez 7. Nonlinear conjugate gradient methods with sufficient descent properties for unconstrained optimization Pages : 595 - 619 Wataru Nakamura, Yasushi Narushima and Hiroshi Yabe 8. Generalized weak sharp minima of variational inequality problems with functional constraints Pages : 621 - 630 Wenyan Zhang, Shu Xu, Shengjie Li and Xuexiang Huang 9. Superconvergence for elliptic optimal control problems discretized by RT1 mixed finite elements and linear discontinuous elements Pages : 631 - 642 Tianliang Hou and Yanping Chen 10. Multi-period mean-variance portfolio selection with fixed and proportional transaction costs Pages : 643 - 656 Zhen Wang and San-Yang Liu 11. Optimality conditions for vector equilibrium problems and their applications Pages : 657 - 667 Adela Capata 12. Stable strong and total parametrized dualities for DC optimization problems in locally convex spaces Pages : 669 - 685 Gang Li, Xiaoqi Yang and Yuying Zhou 13. Convex hull of the orthogonal similarity set with applications in quadratic assignment problems Pages : 687 - 699 Yong Xia 14. Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming Pages : 701 - 719 Ye Tian, Shu-Cherng Fang, Zhibin Deng and Wenxun Xing ------ Subject: Contents, Numerical Algebra, Control and Optimization 3:2 From: Liwei Ning Date: Wed, 1 May 2013 09:21:19 -0500 Numerical Algebra, Control and Optimization (NACO) Volume: 3, Number: 2 June 2013 http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=594 1. Preface Pages : i - ii Jiu Ding, Bingsheng He, Qin Ni and Wenyu Sun 2. A two-phase method for multidimensional number partitioning problem Pages : 203 - 206 Feng Ma and Mingfang Ni 3. Partial eigenvalue assignment with time delay robustness Pages : 207 - 221 Xiaobin Mao and Hua Dai 4. Subspace trust-region algorithm with conic model for unconstrained optimization Pages : 223 - 234 Xin Zhang, Jie Wen and Qin Ni 5. A unified maximum entropy method via spline functions for Frobenius-Perron operators Pages : 235 - 245 Jiu Ding and Noah H. Rhee 6. Linearized alternating direction method of multipliers with Gaussian back substitution for separable convex programming Pages : 247 - 260 Bingsheng He and Xiaoming Yuan 7. The stationary iterations revisited Pages : 261 - 270 Xuzhou Chen, Xinghua Shi and Yimin Wei 8. Complete solutions and triality theory to a nonconvex optimization problem with double-well potential in Rn Pages : 271 - 282 Daniel Morales-Silva and David Yang Gao 9. A structured trust region method for nonconvex programming with separable structure Pages : 283 - 293 Dan Xue, Wenyu Sun and Hongjin He 10. A modification of the forward-backward splitting method for maximal monotone mappings Pages : 295 - 307 Xiao Ding and Deren Han 11. Nonmonotone retrospective conic trust region method for unconstrained optimization Pages : 309 - 325 Lijuan Zhao and Wenyu Sun 12. An adaptive wavelet method and its analysis for parabolic equations Pages : 327 - 345 Qiang Guo and Dong Liang 13. Solutions of the Yang-Baxter matrix equation for an idempotent Pages : 347 - 352 A. Cibotarica, Jiu Ding, J. Kolibal and Noah H. Rhee 14. Weak and strong convergence of prox-penalization and splitting algorithms for bilevel equilibrium problems Pages : 353 - 366 Zaki Chbani and Hassan Riahi 15. Mathematical properties of the regular *-representation of matrix +*-algebras with applications to semidefinite programming Pages : 367 - 378 Cristian Dobre 16. Index-range monotonicity and index-proper splittings of matrices Pages : 379 - 388 Litismita Jena and Sabyasachi Pani ------ Subject: Contents, Nonlinear Analysis: Modelling and Control 18:2 From: Romas Baronas Date: Mon, 29 Apr 2013 12:05:03 +0300 Nonlinear Analysis: Modelling and Control, ISSN 1392-5113, Volume 18, Number 2, 2012 A free on-line edition is available at: http://www.mii.lt/NA/ TABLE OF CONTENTS Large deviations for weighted random sums, pp. 129-142, Aurelija Kasparaviciute, Leonas Saulis A new family of fourth-order methods for multiple roots of nonlinear equations, pp. 143-152, Baoqing Liu, Xiaojian Zhou Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity, pp. 153-159, Richard Morris, Abdul Hamid Kara, Anjan Biswas Nonlinear generalized cyclic contractions in complete G-metric spaces and applications to integral equations, pp. 160-176, Hemant Kumar Nashine, Zoran Kadelburg Detection of multiple changes in mean by sparse parameter estimation, pp. 177-190, Jiri Neubauer, Vitezslav Vesely A predator-prey model with disease in prey, pp. 191-209, Md. Sabiar Rahman, Santabrata Chakravarty Stability and absorbing set of parabolic chemotaxis model of Escherichia coli, pp. 210-226, Salvatore Rionero, Maria Vitiello Phenomenological model of bacterial aerotaxis with a negative feedback, pp. 227-249, Vladas Skakauskas, Pranas Katauskis, Remigijus Simkus, Feliksas Ivanauskas Global dynamics of a delayed epidemic model with latency and relapse, pp. 250-263, Rui Xu