具有常数移民和急慢性阶段的SIS模型的研究

ANALYSIS OF SIS MODEL WITH CONSTANT RECRUITMENT AND ACUTE AND CHRONIC STAGES

研究了具有常数移民以及具有急性和慢性两个阶段的SIS传染病模型.针对p=0和0<p<1两种情况分别得到了相应模型的平衡点,证明了无病平衡点的全局渐近稳定性,运用一种几何方法给出了地方病平衡点的存在性和全局渐近稳定性的充分条件.最后进行数值模拟以验证所得结论.

This paper considers an SIS epidemic model with constant recruitment and acute and chronic infection stages, We obtain the equilibriums, respectively, of the model corresponding to the two cases, p = 0 and 0〈 p〈 1, We proved the global asymptotical stable results of the disease-free equilibrium. Sufficient conditions for the existence and global asymptotical stability of the endemic equilibrium are established through some skills from the method of a geometric approach. At last, we give a numerical simulation to test and verify the conclusions.