Stochastic permanence of an epidemic model with a saturated incidence rate

Ghulam Hussain, Amir Khan, Mostafa Zahri and Gul Zaman

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: We study a stochastic model with a generalized (saturated) incidence. The random perturbations are assumed to be dependent on white noises. This implies that the random perturbation will be proportional directly to the steady states. We then show the existence as well as the uniqueness of the solution with the help of constructing a Lyapunov function. We will also discuss the bounded-ness and stochastic permanence for our proposed model with sufficient conditions. The numerical simulations are carried out using first-order Itô-Taylor stochastic scheme to demonstrate the obtained results.

Keywords: Stochastically ultimately bounded; Stochastic permanence; Lyapunov function; Numerical simulation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304033

DOI: 10.1016/j.chaos.2020.110005

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