The impact of nonlinear perturbation to the dynamics of HIV model

Zhenfeng Shi; Daqing Jiang; Ningzhong Shi; Tasawar Hayat; Ahmed Alsaedi

doi:10.1002/mma.7939

The impact of nonlinear perturbation to the dynamics of HIV model

Zhenfeng Shi
, Daqing Jiang
, Ningzhong Shi
, 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

6 Scopus citations

Abstract

In this paper, we developed and studied a stochastic HIV model with nonlinear perturbation. Through a rigorous analysis, we firstly showed that the solution of the stochastic model is positive and global. Then, by employing suitable stochastic Lyapunov functions, we prove that the stochastic model admit a unique ergodic stationary distribution. In addition, sufficient conditions for the extinction of HIV infection are derived. Finally, numerical simulations are employed to confirm our theoretical results.

Original language	English
Pages (from-to)	2542-2562
Number of pages	21
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	5
DOIs	https://doi.org/10.1002/mma.7939
State	Published - 30 Mar 2022
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

HIV model
ergodic stationary distribution
extinction
nonlinear perturbation
stochastic Lyapunov functions

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10.1002/mma.7939

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title = "The impact of nonlinear perturbation to the dynamics of HIV model",

abstract = "In this paper, we developed and studied a stochastic HIV model with nonlinear perturbation. Through a rigorous analysis, we firstly showed that the solution of the stochastic model is positive and global. Then, by employing suitable stochastic Lyapunov functions, we prove that the stochastic model admit a unique ergodic stationary distribution. In addition, sufficient conditions for the extinction of HIV infection are derived. Finally, numerical simulations are employed to confirm our theoretical results.",

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T1 - The impact of nonlinear perturbation to the dynamics of HIV model

AU - Shi, Zhenfeng

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2022/3/30

Y1 - 2022/3/30

N2 - In this paper, we developed and studied a stochastic HIV model with nonlinear perturbation. Through a rigorous analysis, we firstly showed that the solution of the stochastic model is positive and global. Then, by employing suitable stochastic Lyapunov functions, we prove that the stochastic model admit a unique ergodic stationary distribution. In addition, sufficient conditions for the extinction of HIV infection are derived. Finally, numerical simulations are employed to confirm our theoretical results.

AB - In this paper, we developed and studied a stochastic HIV model with nonlinear perturbation. Through a rigorous analysis, we firstly showed that the solution of the stochastic model is positive and global. Then, by employing suitable stochastic Lyapunov functions, we prove that the stochastic model admit a unique ergodic stationary distribution. In addition, sufficient conditions for the extinction of HIV infection are derived. Finally, numerical simulations are employed to confirm our theoretical results.

KW - HIV model

KW - ergodic stationary distribution

KW - extinction

KW - nonlinear perturbation

KW - stochastic Lyapunov functions

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DO - 10.1002/mma.7939

M3 - Article

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EP - 2562

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

The impact of nonlinear perturbation to the dynamics of HIV model

Abstract

UN SDGs

Keywords

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