Discontinuity, Nonlinearity, and Complexity
Stability Analysis of a Stochastic Viral Infection Model with General Infection Rate and General Perturbation Terms
Discontinuity, Nonlinearity, and Complexity 8(3) (2019) 313323  DOI:10.5890/DNC.2019.09.007
Marouane Mahrouf$^{1}$, Khalid Hattaf$^{1}$,$^{2}$, Noura Yousfi$^{1}$
$^{1}$ Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O Box 7955 Sidi Othman, Casablanca, Morocco
$^{2}$ Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco
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Abstract
In this paper, we propose a stochastic viral infection model with general incidence rate. In the proposed model, the stochastic perturbations are modeled by general functions. Further, the global existence and positivity of solutions are investigated. In addition, the stochastic stability of the model is established by using the direct Lyapunov method. Finally, an application of the hepatitis B virus (HBV) is given to validate our theoretical results.
Acknowledgments
We would like to express our gratitude to the editor and the two anonymous reviewers for their constructive comments and suggestions, which helped to enrich this paper.
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