Global stability for a cumulative release Ebola epidemic model from the corpses and infected individuals

In this paper, a SVEIRDP epidemic model is proposed to investigate the transmission dynamics of Ebola by cumulative release from the infected individuals and corpses in the form of infinite integrals. First, the positivity and ultimate boundedness of solutions are proved. Second, the basic reproduction number $R_0$ is calculated. Furthermore, it is proven that if $R_0<1$, the model has the disease-free equilibrium and is globally asymptotically stable (GAS); If $R_0>1$, the unique endemic equilibrium is GAS. To clearly illustrate the theoretical results, real data are used to conduct numerical simulations. We discover that modeling the cumulative release of Ebola from the infected individuals and corpses using the infinite integral with an appropriate probability density function (PDF) provides a more realistic and accurate representation of the actual disease spread.