TY - JOUR
ID - 2792
TI - Mathematical modeling of optimized SIRS epidemic model and some dynamical behavior of the solution
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Nadjafikhah, Mehdi
AU - Shagholi, Saeid
AD - Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran
Y1 - 2017
PY - 2017
VL - 8
IS - 2
SP - 125
EP - 134
KW - Mathematical modeling
KW - epidemic SIRS model
KW - positive solution
KW - globally asymptotically stability
DO - 10.22075/ijnaa.2017.11821.1592
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_2792.html
L1 - https://ijnaa.semnan.ac.ir/article_2792_035182d58bb9842edde0597201b211da.pdf
ER -