含等级治疗率与不完全康复率的SIRS模型的分岔分析

doi:10.16088/j.issn.1001-6600.2020.06.009

Abstract

Abstract: In this paper, an SIRS heroin model with graded cure and incomplete recovery rates is studied. Firstly, the limit set of the system is used to reduce a three-dimensional system to two-dimension system,and equilibrium topological types of the system are verified by analyzing the eigenvalues in detail. Then, it is shown that the system undergoes forward bifurcation with the change of bifurcation parameters. Finally, the phase diagram and state variable curve of the system under different bifurcation parameters are obtained through numerical simulations with the help of ODE45 software package in Matlab, which intuitively show the correctness of the conclusion.

Key words: SIRS model, graded cure, equilibrium, forward bifurcation, numerical simulation

CLC Number:

O175

HUANG Chunxian, ZHOU Xiaoliang. Bifurcation Analysis of an SIRS Epidemic Model with Graded Cure and Incomplete Recovery Rates[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(6): 74-81.

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Bifurcation Analysis of an SIRS Epidemic Model with Graded Cure and Incomplete Recovery Rates

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