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

Peer review status:IN REVISION

10 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
11 Mar 2021Assigned to Editor
11 Mar 2021Submission Checks Completed
15 Mar 2021Reviewer(s) Assigned
12 Apr 2021Review(s) Completed, Editorial Evaluation Pending
26 May 2021Editorial Decision: Revise Major