Dynamics of a Stochastic Virus Infection Model with Delayed Immune Response
Patients are always affected by external environmental noises and random fluctuations inside bodies. Considering this, in this paper we propose a stochastic virus infection model with delayed immune response, which consists of a system of four-dimensional stochastic delayed equations. We verify that there is a unique global positive solution for this model with any positive initial value, and establish the sufficient conditions for extinction and persistence of the model. Further, we perform a couple of numerical simulations to illustrate our theoretical analysis results.
KeywordsVirus infection Stochastic delayed model Extinction, persistence
We thank the support of the NSFC (51675124, 61273226) and Science and Technology Program of Guangzhou, China (201804010246)
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