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A nonlinear HCV model in deterministic and randomly fluctuating environments.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2023, Vol. 46 Issue 4, p4644-4662. 19p. - Publication Year :
- 2023
-
Abstract
- Two novel deterministic and stochastic nonlinear hepatitis C virus (HCV) models with nonlinear incidence rates as βSpE,βSpI$$ \beta {S}^pE,\beta {S}^pI $$, and βSpCq$$ \beta {S}^p{C}^q $$, containing acute and chronic infections, are developed, and an endeavor to understand their dynamics has been accomplished. For the former model, both the existence of unique equilibria and the sharp sufficient conditions of globally stable equilibria under different cases are established. Whereafter, the efforts taken to detect the asymptotic behaviors around equilibria, the existence of ergodic stationary distribution, and stochastic extinction of the latter model have been supplemented with meticulous theoretical proofs. At last, several numerical examples and discussions are illustrated to sustain and visualize our theoretical results. Compared and analyzed the numerical and theoretical results, we can find that the noise can influence the dynamics of disease and turn the disease from persistence to extinction. Moreover, several control measures are suggested based on our study. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HEPATITIS C virus
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 46
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 161743369
- Full Text :
- https://doi.org/10.1002/mma.8792