Stability analysis of SIR holing type II infectious epidemic model with treatment failure rate
Abstract
In this paper a mathematical model of SIR epidemics diseases holing type II with a treatment failure rate on a population of individuals had been introduced and studied so, its dynamical behavior such as stability derived ,first we prove the existence of equilibrium points via Discartes rule of signs ,then local stability demonstrate for the above equilibrium points using Roth Hurwitz criteria , finally the global stability established with assistance of Lyapunov theorem to the equilibrium points above and the results was encouraging and satisfy.
Key words stability , Holling type II , epidemic SIR model .
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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