loading page

The impact of nonlinear perturbation to the dynamics of HIV model
  • +2
  • Zhenfeng Shi,
  • Daqing Jiang,
  • Ningzhong Shi,
  • Tasawar Hayat,
  • Ahmed Alsaedi
Zhenfeng Shi
Northeast Normal University

Corresponding Author:[email protected]

Author Profile
Daqing Jiang
College of Science, China University of Petroleum(East China)
Author Profile
Ningzhong Shi
School of Mathematics and Statistics, Northeast Normal University
Author Profile
Tasawar Hayat
Quaid-i-Azam University
Author Profile
Ahmed Alsaedi
King Abdulaziz University
Author Profile


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.
10 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
11 Mar 2021Submission Checks Completed
11 Mar 2021Assigned to Editor
15 Mar 2021Reviewer(s) Assigned
12 Apr 2021Review(s) Completed, Editorial Evaluation Pending
26 May 2021Editorial Decision: Revise Major
23 Aug 20211st Revision Received
23 Aug 2021Submission Checks Completed
23 Aug 2021Assigned to Editor
13 Sep 2021Reviewer(s) Assigned
13 Sep 2021Review(s) Completed, Editorial Evaluation Pending
29 Sep 2021Editorial Decision: Accept
16 Nov 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7939