一类具有非线性发生率的SIS传染病模型的定性分析
Qualitative Analysis of an Epidemiological Model of SIS Type with Nonlinear Incidence
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摘要: 应用微分方程定性理论,研究了一类具有非线性发生率的SIS传染病模型.给出了该系统极限环的存在性、唯一性以及无病平衡点和地方病平衡点的全局渐近稳定性的充分条件.
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关键词:
- 传染病模型,平衡点,极限环,全局稳定性
Abstract: An epidemiological model with nonlinear incidence is studied. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the existence and uniqueness of the limit cycles and the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium to the system. -
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