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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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Bibliographic Details
Title: Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission
Authors: Brazil Vargas Junior Possumah, Wuryansari Muharini Kusumawinahyu, Trisilowati
Source: Mathematics in Applied Sciences and Engineering, Vol 6, Iss 2 (2025)
Publisher Information: University of Western Ontario, Western Libraries, 2025.
Publication Year: 2025
Subject Terms: Monkeypox model, saturated incidence rate, contaminated environment, local stability, forward bifurcation, T57-57.97, Applied mathematics. Quantitative methods
Description: 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.
Document Type: Article
ISSN: 2563-1926
DOI: 10.5206/mase/22269
Access URL: https://doaj.org/article/c83bb0f9b6794464bfcd3b7aaa36799b
Rights: CC BY
Accession Number: edsair.doi.dedup.....22194fff891a96c97ff6e7a2be1d0ba0
Database: OpenAIRE
Description
Abstract: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