状态依赖随机环境下具有两类发生率函数的随机SIS模型研究

Research on Stochastic SIS Model with Two Incidence Rates in State-dependent Random Environments

文章研究了状态依赖随机环境下具有两类发生率函数的随机SIS模型,证明了模型具有唯一的正解,并给出解的范围.由于纯跳过程不满足Markov性,给出了纯跳过程的耦合,并得到一些两类疾病灭绝和持续的充分条件.

In this chapter,the stochastic SIS model with two incidence rates in state dependent random environments was studied.It proved that the model had the unique positive solution and gave the range of the solution.Because the pure jump process did not satisfy Markov property,the coupling of pure jump process was given,and some sufficient conditions to judge extinction and permanence of two kinds of diseases were obtained.