A Stochastic SIS Epidemic Model with Double Epidemic Hypothesis under Mean Regression Process
A class of stochastic SIS epidemic model with dual epidemic hypothesis under nonlinear incidence rate is considered.First,a stochastic model is established by perturbing the transmission rate under the mean regression process;Secondly,it has been theoretically proven that the stochastic model has a unique global positive solution;Next,sufficient conditions for the extinction of two infectious diseases are obtained by constructing Lyapunov functions.Finally,it is further derived that when R*1>1,R′2<1,the diseases I1 will persist and I2 will become exti-nct;When R′1<1,R*2>1,the diseases I2 will persist and I1 will become extinct;When R*1>1,R*2>1,the dise-ases I1 and I2 will persist.
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