Stochastic analysis of a two delayed epidemic model incorporating Levy processes with a general non-linear transmission

摘要

In this paper, the qualitative analysis of a stochastic two delayed epidemic model incorporating Levy processes with a general non-linear incidence transmission is considered. Our analysis show that the proposed model is mathematically and biologically well-posed. Moreover, we develop a mathematical method to present the sufficient conditions for extinction and persistence in the mean of disease. Numerical simulations are realized to show the performance and effectiveness of the theoretical results. Keywords Epidemic model; Levy process; General non-linear transmission; Two delays.