具有Logistic增长的SIVR模型的研究

ANALYSIS OF AN SIVR MODEL WITH LOGISTIC INCREASING

研究了一个具有Logistic增长的SIVR传染病模型;讨论了模型的平衡点的存在性,分别证明了无病平衡点和地方病平衡点的全局渐近稳定性;最后进行数值模拟以验证所得结论.

This paper considers an SIVR epidemic model with Logistic increasing. We obtain the equilibriums of the model. We proved the global asymptotical stable results of the disease-free and endemic equilibriums. At last, we give a numerical simulation to test and verify the conclusions.