一类流行病模型的后向分支——带接种疫苗的两病毒模型

The Backward Bifurcation of a Kind of Two-Strain Epidemic Model With Vaccination

建立一类具有两病毒和接种疫苗的SEIJV流行病模型。假设疫苗对病毒2具有完全保护作用,对病毒1具有部分保护作用,即接种疫苗的个体与被病毒1感染的个体接触后有染病的可能。在假设病毒1可以以一定比率变异为病毒2情况下,给出再生数的表达式,讨论了无病平衡点、病毒1占优平衡点、病毒2占优平衡点以及地方病平衡点的存在性条件,并在一定条件下证明了后向分支的存在性。

A kind of two-strain SEIJV epidemic model with two-strain and vaecination was set up. This vaccine provides complete against strain 2. but only partial against strain 1 or the vaccinated inclividual may bc infected by strain 1. It is also assumed that strain 1 can mutate into stran 2 at a rate. The reproduction numbers of this model were given. The existence of stability of these equilibria are presented. Under certain conditions, it shows that this model exhibits have backward bifurcations.