Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals

Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals

Blog Article

The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model.Our basic model was enriched with the hypotheses of vertical opi the color that keeps on giving transmission and transfer from infected to susceptible individuals, to approach the reality.Our analysis showed that the model is well-posed.

Under some conditions imposed on the intensity of the white noise perturbation, the global stability of the system is proven.Furthermore, the threshold of our model which determines the extinction and persistence of click here the disease is established.Numerical examples are realized to prove the rigor of our theoretical results.