Ergodic stationary distribution of stochastic epidemic model for HBV with double saturated incidence rates and vaccination

Ghulam Hussain, Amir Khan, Mostafa Zahri and Gul Zaman

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: In this research article, we discuss the dynamics of double saturated incidence rates and vaccination of a stochastic hepatitis B epidemic model. The uniqueness and the existence of a global positive solution are studied. By establishing an appropriate stochastic Lyapunov function, we provide the conditions for disease extinction and the existence of ergodic stationary distributions. Finally, simulations are used to illustrate the analytical findings.

Keywords: Stochastic SACR hepatitis B epidemic model; Extinction; Stationary distribution; Milstein scheme (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004052

DOI: 10.1016/j.chaos.2022.112195

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