Applied Analysis in Biological and Physical Sciences

The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. All papers were prepared by participants at the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications (ICMBAA-2015) held during 4-6 June 2015 in Aligarh, India. A focal theme of the conference was the application of mathematics to the biological sciences and on current research in areas of theoretical mathematical analysis that can be used as sophisticated tools for the study of scientific problems. The conference provided researchers, academicians and engineers with a platform that encouraged them to exchange their innovative ideas in mathematical analysis and its applications as well as to form interdisciplinary collaborations. The content of the book is divided into three parts: Part I contains contributions from participants whose topics are related to nonlinear dynamics and its applications in biological sciences. Part II has contributions which concern topics on nonlinear analysis and its applications to a variety of problems in science, engineering and industry. Part III consists of contributions dealing with some problems in applied analysis.

Auteur

JIM MICHAEL CUSHING is professor in the Department of Mathematics and member of the Interdisciplinary Program in Applied Mathematics at the University of Arizona, Tucson, U.S.A. His professional interests include discrete and continuous dynamic systems and applications in population, ecological and evolutionary biology. He is a fellow of the American Mathematical Society, editor-in-chief of the Journal of Biological Dynamics and past president of the International Society of Difference Equations. He is also the Alexander von Humboldt Fellow. MOHAMMAD SALEEM is professor and chairman of the Department of Applied Mathematics, Aligarh Muslim University, India. He did his PhD from the Indian Institute of Technology Kanpur, India, in 1980. His main area of research is mathematical modelling of ecological problems. He has published numerous papers on elasticity in several journals of international repute. His current research interests include cancer growth models. He is a life member of the Indian Society for Mathematical Modelling & Computer Simulation. HARI MOHAN SRIVASTAVA has held the position of Professor Emeritus in the Department of Mathematics and Statistics at the University of Victoria in Canada since 2006. Prior to this, he was professor in the same department from 1974 to 2006 and associate professor in the same department from 1969 to 1974. He has held numerous visiting research and honorary chair positions at many universities and research Institutes in different parts of the world. He is also actively associated editorially with numerous international scientific research journals. His current research interests include several areas of pure and applied mathematical sciences such as real and complex analysis, fractional calculus and its applications, integral equations and transforms, higher transcendental functions and their applications, q-series and q-polynomials, analytic number theory,analytic and geometric inequalities, probability and statistics, and inventory modelling and optimization. He has published 25 books, monographs and edited volumes, 30 book and encyclopaedia chapters, 45 papers in international conference proceedings, and more than 1,000 scientific research journal articles, as well as written forewords and prefaces to many books and journals. He is currently listed as the 2015 Thomson-Reuters Highly Cited Researcher. MUMTAZ AHMAD KHAN is dean of the Faculty of Engineering & Technology and professor in the Department of Applied Mathematics, Aligarh Muslim University, India. He did both his M.Sc. and PhD from Lucknow University in 1970 and 1978, respectively. He has 150 research papers to his credit published in several international journals of repute. He has successfully guided 17 PhD and 12 M.Phil students. He is in the editorial board of International Transactions in Mathematical Sciences and Computer. He is a reviewer with American Mathematical Review. His current research interests include discrete complex analysis, fractional calculus and its application, integral equations and transforms, higher transcendental functions and their applications, q­-series, q­polynomials and umbral calculus. MERAJUDDIN is professor in the Department of Applied Mathematics, Aligarh Muslim University, India. He did both his M.Sc. and PhD from the Indian Institute of Technology Kanpur, India, in 1978 and 1985, respectively. His research interests include graph theory and discrete mathematics.

Contenu

1.Radouane Yäa, M. A. Aziz-Alaoui, and Samira El Yacoubi: Modeling and Dynamics of Predator-prey Systems on a Circular Domain.- 2.Malay Banerjee, Moitri Sen, and Vitaly Volpert: Pattern formation in a prey-predator model with nonlocal interaction terms.- 3.J. M. Cushing: One dimensional maps as population and evolutionary dynamic models.- 4.Preeti Dubey, Balram Dubey, and Uma S. Dubey: An SIR model with nonlinear incidence rate and Holling type III treatment rate.- 5.Anju Goel and Sunita Gakkhar: Dynamic complexities in a pest control model with birth pulses.- 6.R. P. Gupta and Peeyush Chandra: Dynamical behavior of a modi ed Leslie-Gower prey-predator model with Michaelis-Menten type prey-harvesting.- 7.Daniel A. Korytowski and Hal L. Smith: A special class of Lotka-Volterra models of bacteria-virus infection networks.- 8.Arnaud Ducrot and Hiroshi Matano: Plant diseases propagation in a striped periodic medium.- 9.Arti Mishra: A within-host model of dengue viral infection dynamics.-10.Anuraj Singh: Stabilization of prey predator model via feedback control.- 11.M. Indhumathy, S. Arumugam, Veeky Baths, and Tarkeshwar Singh: Graph Theoretic Concepts in the Study of Biological Networks.- 12.Tazid Ali and Nisha Gohain: Some algebraic aspects and evolution of genetic code.- 13.Kristiana Wijaya and Edy Tri Baskoro: On Ramsey (2K2,2H)-minimal graphs.- 14.Mohammad Belal and Nadeem Hasan: Solution of viscous burgers equation using a new flux based scheme.- 15.Snehal Shukla and Gunamani Deheri: Effect of slip velocity on the performance of a magnetic fluid based transversely rough porous narrow journal bearing.- 16.Pratik Suchde and A. S. Vasudeva Murthy: On the Wave Equations of Kirchhoff-Narasimha and Carrier.- 17.P. Muthu and M.Varunkumar: Mathematical model of ow in a channel with permeability - combined effect of straight and curved boundaries.- 18.Kamaljeet D. Bahuguna, and R. K. Shukla: Approximate controllability of nonlocal fractional integro-differential equations with finite delay.- 19.Rajeev Kumar, Anupma Bansal, and R. K. Gupta: Some solutions of generalized variable coefficients KdV equation by classical Lie Approach.- 20.M. Darabi and J. Zafarani: Well-posedness of parametric vector quasi-equilibrium problems.- 21.T. D. Narang and Sahil Gupta: Best simultaneous approximation in quotient spaces.- 22.Shamshad Husain, Huma Sahper and Sanjeev Gupta: Generalized cocoercive operator with an application.- 23.Akhlad Iqbal and V. Samhita: Some integral inequalities for log-preinvex functions.- 24.Kanika Khatter, V. Ravichandran, and S. Sivaprasad Kumar: Estimates for initial coefficients of certain star like functions with respect to symmetric points.- 25.Yuqing Chen,Yeol Je Cho and Jong Kyu Kim: Note on convex functionals in the dual spaces of non re exive Banach spaces.- 26.M. A. Sofi: Nonlinear aspects of …