Dynamic Analysis of a Random HIV/AIDS Model with VCT Awareness
By establishing a class of stochastic AIDS infectious disease model,the unique-ness of the global existence of the positive solution of the stochastic model is proved by using the stop-time theory Secondly,the oscillation behavior of the solution of the stochastic model near the disease-free equilibrium point and the endemic equilibrium point of the correspond-ing deterministic model is analyzed,and the sufficient conditions for the average persistence and extinction of the stochastic model solution are obtainedFinally,the dynamic behavior of the model is further demonstrated by numerical simulation.
random modelItô formulaasymptotic behaviordurabilityextermination
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