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....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2025-06-01
|
| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/22269 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849719701367685120 |
|---|---|
| author | Brazil Vargas Junior Possumah Wuryansari Muharini Kusumawinahyu Trisilowati |
| author_facet | Brazil Vargas Junior Possumah Wuryansari Muharini Kusumawinahyu Trisilowati |
| author_sort | Brazil Vargas Junior Possumah |
| collection | DOAJ |
| 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.
|
| format | Article |
| id | doaj-art-c83bb0f9b6794464bfcd3b7aaa36799b |
| institution | DOAJ |
| issn | 2563-1926 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj-art-c83bb0f9b6794464bfcd3b7aaa36799b2025-08-20T03:12:05ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262025-06-016210.5206/mase/22269Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmissionBrazil Vargas Junior Possumah0Wuryansari Muharini Kusumawinahyu1Trisilowati2Department of Mathematics, Brawijaya University, MalangDepartment of Mathematics, Brawijaya University, Malang, IndonesiaDepartment of Mathematics, Brawijaya University, Malang, Indonesia 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. https://ojs.lib.uwo.ca/index.php/mase/article/view/22269Monkeypox model, saturated incidence rate, contaminated environment, local stability, forward bifurcation. |
| spellingShingle | Brazil Vargas Junior Possumah Wuryansari Muharini Kusumawinahyu Trisilowati Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission Mathematics in Applied Sciences and Engineering Monkeypox model, saturated incidence rate, contaminated environment, local stability, forward bifurcation. |
| title | Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| title_full | Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| title_fullStr | Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| title_full_unstemmed | Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| title_short | Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| title_sort | dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission |
| topic | Monkeypox model, saturated incidence rate, contaminated environment, local stability, forward bifurcation. |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/22269 |
| work_keys_str_mv | AT brazilvargasjuniorpossumah dynamicalanalysisofamonkeypoxspreadmodelwithhumantohumansaturatedincidencerateandenvironmentaltransmission AT wuryansarimuharinikusumawinahyu dynamicalanalysisofamonkeypoxspreadmodelwithhumantohumansaturatedincidencerateandenvironmentaltransmission AT trisilowati dynamicalanalysisofamonkeypoxspreadmodelwithhumantohumansaturatedincidencerateandenvironmentaltransmission |