The impact of nonlinear perturbation to the dynamics of HIV model. (16th November 2021)

• Record Type: Journal Article
• Authors: Shi, Zhenfeng; Jiang, Daqing; Shi, Ningzhong; Hayat, Tasawar; Alsaedi, Ahmed
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 5(2022)
• Page Start: 2542
• Page End: 2562
• Publication Date: 2021-11-16
• Subjects: ergodic stationary distribution -- extinction -- HIV model -- nonlinear perturbation -- stochastic Lyapunov functions; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7939
• Languages: English
• ISSNs: 0170-4214

Abstract

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.