一类具有种群Logistic增长的SIR传染病模型的稳定性

摘要

研究一类具有种群Logistic增长的SIR传染病模型,应用微分方程定性理论,分别得到了该系统无病平衡点、地方病平衡点全局渐近稳定的充分条件,并进行了数值模拟.%An SIR epidemic model with species logistic growth is investigated.By using the qualitative theory of ordinary differential equations,sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model.Also,some numerical simulations are provided to confirm our analytic results.