Stationary distribution of a stochastic within-host dengue infection model with immune response and regime switching

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: In this paper, we develop a mathematical model of viral infection of monocytes population by dengue virus with immune response which is perturbed by both white and telegraph noises. By constructing a suitable stochastic Lyapunov function with regime switching, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. The existence of a stationary distribution implies stochastic weak stability.

Keywords: Within-host dengue model; Immune response; Stationary distribution; Ergodicity; Markov switching (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306466

DOI: 10.1016/j.physa.2019.121057

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