Ordinary and Partial Differential Equations

Raymond Brewer (Editor)

Series: Mathematics Research Developments
BISAC: MAT007000

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Disease in the prey population increases the risk of prey outcomes in predation or to be harvested. In this book, an eco-epidemiological model consisting of predator-prey model with SIS disease in the prey population is proposed and analyzed. Furthermore, the authors discuss a mathematical S-E-I-L (Susceptible-Latently infected-Infected-Lost of sight) model for the spread of a directly transmitted infectious disease in an age-structured population; examine how starting from the classical Chebyshev ordinary differential equation (ODE), a generic realization of its Lie algebra of point symmetries sl(3;R) is obtained in terms of the Chebyshev polynomials of first and second kind; and give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu model.
(Imprint: Nova)

Preface

Chapter 1
Selective Harvesting and Time Delay in a Predator-Prey Model with Infectious Preys
(A. Tchuinte Tamen, A. Laohombe, J. J. Tewa and S. Bowong, Faculty of Science, University of Yaounde I, Cameroon, and others)

Chapter 2
Analysis of an Age-Structured SEIL Model with Demographics Process and Lost of Sight Individuals
(R. Demasse Djidjou, A. Mendy, Lam Mountaga, J. J. Tewa, University of Yaounde I, Faculty of Science, Department of Mathematics, Yaounde, Cameroon, and others)

Chapter 3
Realizations of sl(3;R) in Terms of Chebyshev Polynomials and Orthogonal Systems of Functions. Symmetry Breaking and Variational Symmetries
(R. Campoamor-Stursberg, E. Fernandez Saiz, Instituto de Matematica Interdisciplinar and Depto. de Geometr´ýa y Topologýa, Universidad Complutense, Madrid, Spain, and others)

Chapter 4
Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
(Jesus Cuevas–Maraver, Panayotis G. Kevrekidis, Avadh Saxena, Fred Cooper and Franz Mertens, Grupo de Fýsica No Lineal, Departamento de Fýsica Aplicada I, Universidad de Sevilla, Escuela Polite´cnica Superior, C/ Virgen de Africa, Sevilla, Spain, and others)

Index

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