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Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission

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Název: Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission
Autoři: Brazil Vargas Junior Possumah, Wuryansari Muharini Kusumawinahyu, Trisilowati
Zdroj: Mathematics in Applied Sciences and Engineering, Vol 6, Iss 2 (2025)
Informace o vydavateli: University of Western Ontario, Western Libraries, 2025.
Rok vydání: 2025
Témata: Monkeypox model, saturated incidence rate, contaminated environment, local stability, forward bifurcation, T57-57.97, Applied mathematics. Quantitative methods
Popis: 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.
Druh dokumentu: Article
ISSN: 2563-1926
DOI: 10.5206/mase/22269
Přístupová URL adresa: https://doaj.org/article/c83bb0f9b6794464bfcd3b7aaa36799b
Rights: CC BY
Přístupové číslo: edsair.doi.dedup.....22194fff891a96c97ff6e7a2be1d0ba0
Databáze: OpenAIRE
Popis
Abstrakt: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.
ISSN:25631926
DOI:10.5206/mase/22269