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The impact of nonlinear perturbation to the dynamics of HIV model.
- Source :
- Mathematical Methods in the Applied Sciences; Mar2022, Vol. 45 Issue 5, p2542-2562, 21p
- Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- HIV infections
HIV
LYAPUNOV functions
STOCHASTIC models
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 45
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 155660897
- Full Text :
- https://doi.org/10.1002/mma.7939