具有种群动力学和非线性接触率的SIRS流行病模型

SIRS epidemiological models with population dynamics and nonlinear incidence

建立易感染类中具有 L ogistic种群增长和非线性接触率的 SIRS流行病模型 ;分析该模型的正不变集和平衡位置的存在性 ,研究了疾病消除平衡位置和地方病平衡位置的稳定性 。

SIRS epidemiological models are established with Logistic population growth in susceptible class and nonlinear incidence rates.The positive invariant set and the existence of equilibrium of the models are analyzed.The stabilities of equilibrium on the disappearance of diseases and of infective equilibrium are of local diseases studied.Some numerical simulations are given.