Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission
In this paper, we study the behavior of monkeypox spread by constructing a compartmental model describing virus transmission between humans, animals, and the environment. The model incorporates vaccination on susceptible humans, quarantine on exposed humans, and hospitalization on infected humans....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2025-06-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/22269 |
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| Summary: | In this paper, we study the behavior of monkeypox spread by constructing a compartmental model describing virus transmission between humans, animals, and the environment. The model incorporates vaccination on susceptible humans, quarantine on exposed humans, and hospitalization on infected humans. A saturated incidence rate is applied to obtain a more realistic model. The model's basic reproduction number ($R_0$) is obtained by applying the next generation matrix method. The analysis shows that the local stability of the equilibrium points depends on the value of $R_0$, and it is also shown that the model undergoes forward bifurcation. Furthermore, sensitivity analysis and numerical simulations were conducted to illustrate the analytical results.
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| ISSN: | 2563-1926 |