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Influence of environmental fluctuations on Hepatitis C transmission

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  • Vujović, Vuk

Abstract

In this paper we discuss the dynamical properties of stochastic Hepatitis C model that describes its transmission. At the beginning, the existence and uniqueness of global positive solution of system are proven. As for the stability properties, first the stability in probability of disease-free equilibrium is obtained. Then, we establish the conditions under which extinction of the disease from the population occurs. Also, the conditions for the parameters of the model under which the solution of the system is persistent in mean are found. In the end, we use numerical simulations to confirm our theoretical results.

Suggested Citation

  • Vujović, Vuk, 2022. "Influence of environmental fluctuations on Hepatitis C transmission," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 203-218.
    • Handle: RePEc:eee:matcom:v:191:y:2022:i:c:p:203-218
    DOI: 10.1016/j.matcom.2021.08.008
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