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Stability techniques in SIR epidemic models
Author(s) -
Zaman Gul,
Jung Il Hyo
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701147
Subject(s) - stability (learning theory) , epidemic model , nonlinear system , population , affect (linguistics) , statistical physics , mathematics , computer science , mathematical economics , physics , demography , psychology , sociology , communication , machine learning , quantum mechanics
Abstract In biological communities interaction among different species affect their stability. In this paper, we consider a nonlinear SIR model, which describes the dynamics of the interaction between susceptible and infected individuals in population. We establish stability techniques to find out the equilibria for the model and their numerical results are given. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)