Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 129
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شناسه ملی سند علمی:
JR_IJNAA-8-2_012
تاریخ نمایه سازی: 11 آذر 1401
چکیده مقاله:
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.
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