Qualitative behaviour of a stochastic hepatitis C epidemic model in cellular level
In this paper, a mathematical model describing the dynamical of the spread of hepatitis C virus (HCV) at a cellular level with a stochastic noise in the transmission rate is developed from the deterministic model. The unique time-global solution for any positive initial value is served. The Ito’s...
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| Main Authors: | , , , |
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| Format: | Other NonPeerReviewed |
| Language: | English |
| Published: |
Mathematical Biosciences and Engineering
2022
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/284240/1/125.Qualitative%20behaviour%20of%20a%20stochastic%20hepatitis%20C%20epidemic%20model%20in%20cellular.pdf https://repository.ugm.ac.id/284240/ http://www.aimspress.com/journal/MBE |
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| Institution: | Universitas Gadjah Mada |
| Language: | English |
| Summary: | In this paper, a mathematical model describing the dynamical of the spread of hepatitis C
virus (HCV) at a cellular level with a stochastic noise in the transmission rate is developed from the
deterministic model. The unique time-global solution for any positive initial value is served. The Ito’s
Formula, the suitable Lyapunov function, and other stochastic analysis techniques are used to analyze
the model dynamics. The numerical simulations are carried out to describe the analytical results. These
results highlight the impact of the noise intensity accelerating the extinction of the disease |
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