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

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2019.121057

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

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

Northeast Normal University
King Abdulaziz University
China University of Petroleum (East China)
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Article number	121057
Journal	Physica A: Statistical Mechanics and its Applications
Volume	526
DOIs	https://doi.org/10.1016/j.physa.2019.121057
State	Published - 15 Jul 2019
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Ergodicity
Immune response
Markov switching
Stationary distribution
Within-host dengue model

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10.1016/j.physa.2019.121057

Cite this

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

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 = "Ergodicity, Immune response, Markov switching, Stationary distribution, Within-host dengue model",

author = "Qun Liu and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2019/7/15

Y1 - 2019/7/15

N2 - 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.

AB - 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.

KW - Ergodicity

KW - Immune response

KW - Markov switching

KW - Stationary distribution

KW - Within-host dengue model

UR - https://www.scopus.com/pages/publications/85064327147

U2 - 10.1016/j.physa.2019.121057

DO - 10.1016/j.physa.2019.121057

M3 - Article

AN - SCOPUS:85064327147

SN - 0378-4371

VL - 526

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 121057

ER -

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

Abstract

UN SDGs

Keywords

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