 Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rateBaoquan Zhou, Xinhong Zhang and Daqing Jiang Chaos, Solitons & Fractals, 2020, vol. 137, issue C Abstract: In this paper, we study the dynamical behaviors of a SVI epidemic model with half saturated incidence rate. Firstly, the local asymptotic stability of the endemic and disease-free equilibria of the deterministic model are studied. Then for stochastic model, we show that there is a critical value R0s which can determine the extinction and the persistence in the mean of the disease. Furthermore, by constructing a series of suitable Lyapunov functions, we prove that if R0s>1, then there exists an ergodic stationary distribution to the stochastic SVI model. It is worth mentioning that we obtain an exact expression of the probability density function of the stochastic model around the unique endemic equilibrium of the deterministic system by solving the corresponding Fokker-Planck equation, which is guaranteed by a new critical R^0s. Finally, some numerical simulations illustrate the analytical results. Keywords: SVI epidemic model; Stationary distribution; Extinction; Fokker-Planck equation; Probability density function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920302654 DOI: 10.1016/j.chaos.2020.109865 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.