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Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 12، دوره 8، شماره 2، اسفند 2017، صفحه 125-134 اصل مقاله (384.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.11821.1592 | ||
| نویسندگان | ||
| Mehdi Nadjafikhah* ؛ Saeid Shagholi | ||
| Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran | ||
| تاریخ دریافت: 14 اسفند 1395، تاریخ بازنگری: 16 شهریور 1396، تاریخ پذیرش: 26 شهریور 1396 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Mathematical modeling؛ epidemic SIRS model؛ positive solution؛ globally asymptotically stability | ||
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