Stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise

Khadija Akdim, Adil Ez-zetouni, Jaouad Danane and Karam Allali

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: In this paper, we present and study a stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise. First, we show that this model has unique positive global solution. Using the Lyapunov method, we prove that disease-free equilibrium is stable. Furthermore, we give sufficient conditions for the persistence in mean of the viral infection. Finally, we illustrate our theoretical results by some numerical simulations. It is shown that even if the basic reproduction number is greater that unity, we can have the extinction of the infection.

Keywords: Viral infection model; Lévy process; Lyapunov method; Persistence in mean (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437120301333

DOI: 10.1016/j.physa.2020.124367

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