Abstract
In this paper, we consider a stochastic SIRS epidemic model with nonlinear incidence and Markovian switching. By using the stochastic calculus background, we establish that the stochastic threshold ℜswt can be used to determine the compartment dynamics of the stochastic system. Some examples and numerical simulations are presented to confirm the theoretical results established in this paper.
Highlights
The spreading of infectious disease presents a more big problem that involves a high loss of economies of many countries
A large number of individuals in the world die from infectious diseases
Many authors were interested in the proposition of deterministic models
Summary
In [19] Lan et al explored the dynamics of a stochastic SIRS epidemic model with non-monotone incidence rate and Markovian switching They addressed the threshold value of the disease that determines persistence and extinction of the disease and using the Markov semigroups theory they proved that the densities of the distributions of the solution can converge in L1 to an invariant density. Phu et al in [28] studied the longtime dynamics of a stochastic SIS epidemic model with general incidence functional response under regime-switching They attained a sufficient and almost necessary condition for the extinction and persistence of the epidemic system and discussed the rate of all convergence of the solution.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
