一类病毒自身发生变异的随机传染病SIS模型全局正解的渐近行为

Asymptotic behavior of global positive solution to a stochastic SIS epidemic model with virus auto variation

考虑了一类恢复率受到影响,且病毒自身发生变异的随机传染病模SIS型。研究了解的存在惟一性和有界性,证明了当基本再生数max{R1,R2}≤1时无病平衡点的随机渐近稳定性,并指出在噪声σ1足够大时,病毒可趋于灭绝的结论。最后通过数值仿真验证了本结论。

This paper considers a stochastic SIS epidemic model with virus auto variation,in which the recovery rate is influenced by white noise.First,we prove the global existence,uniqueness of the positive solution,and show that the disease-free equilibrium is stochastically asymptotical stability when max{R1,R2}≤1.Then we point out when the white noise σ1 is large enough,the virus tends to disappear.Finally,the numerical simulations are carried out to support our results.