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فهرست مقالات

Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution


علمی-پژوهشی (وزارت علوم)/ISC (10 صفحه - از 125 تا 134)


In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive T-periodic solution which is globally asymptotically stable. For numerical simulations the fourth order Runge-Kutta method is applied to the nonlinear system of differential equations.

کلیدواژه ها:

Mathematical Modeling ،positive solution ،epidemic SIRS model ،globally asymptotically stability

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