Автор:Ahmed Ali Год: 2013 Издание:LAP Lambert Academic Publishing Страниц: 108 ISBN: 9783659446238 In this book, the dynamical behavior of some epidemiological models is investigated. Two types of epidemiological models involving vaccine and immigrants those which may contain infected individuals are proposed and analyzed. The first chapter proposed model represents SVIR epidemic model in which the infectious disease transmitted directly by contact between susceptible and infected individuals using standard mass action incidence rate. While, the second chapter proposed model represents SVIRS epidemic model in which the infectious disease transmitted, through external sources in the environment in addition to the direct contact between susceptible and infected individuals, using simple mass action incidence rate. Both the models are represented mathematically by the set of nonlinear differential equations. The existence, uniqueness and boundedness of the solution of these two models are investigated. The local and global stability conditions of all possible equilibrium points are...
