具有饱和发生率的SIR模型的持久性和稳定性

Analysis of Permanence and Stability for SIR Model with Saturation Incidence

研究了一类具有饱和发生率的虫媒传染病模型.确定了疾病是否流行的阈值R0.如果R0≤1,无病平衡点是全局渐近稳定的,疾病逐渐消失;如果R0>1,地方病平衡点是渐近稳定的,疾病将流行最终导致地方病产生.

A SIR vector-born diseases model is obtained which determines whether the equilibrium is global asymptotically stable saturation incidence is studied disease is epidemic or not. If , and the disease will die out. The threshold value Ro ≤ 1, the disease-free Ro ≥ 1, the epidemic equilibrium is asymptotically stable, and the disease will be permanent and bring on the epidemic finally.