Mathematical modeling and optimal control analysis of Monkeypox virus in contaminated environment

Okongo, Walter; Okelo Abonyo, Jeconia; Kioi, Duncan; Moore, Stephen Edward; Nnaemeka Aguegboh, Stanley

doi:10.1007/s40808-024-01987-4

Model. Earth Syst. Environ.

2024

DOI: 10.1007/s40808-024-01987-4

|View full text |Cite

Mathematical modeling and optimal control analysis of Monkeypox virus in contaminated environment

Walter Okongo,

Jeconia Okelo Abonyo,

Duncan Kioi

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Comprehensive analysis of mathematical model of HIV/AIDS incorporating fisher-folk community

Zanib,

Ramzan,

Shah

et al. 2024

Model. Earth Syst. Environ.

View full text Add to dashboard Cite

Comprehensive analysis of mathematical model of HIV/AIDS incorporating fisher-folk community

Zanib,

Ramzan,

Shah

et al. 2024

Model. Earth Syst. Environ.

View full text Add to dashboard Cite

Transmission Dynamics of Monkeypox Virus With Age‐Structured Human Population: A Mathematical Modeling Approach

Okongo,

Okelo,

Gathungu

et al. 2024

Journal of Applied Mathematics

View full text Add to dashboard Cite

This study presents a deterministic mathematical model of monkeypox disease transmission dynamics with an age‐structured human population divided into two subgroups of children (Group 1) and adults (Group 2). Two equilibrium points, monkeypox‐free, E0, and a unique monkeypox‐endemic equilibrium point, E1, are established. The age‐structured monkeypox basic reproduction number, ℝ0, is computed using the next‐generation matrix approach and established to be ℝ0 = 1.2448. The Lyapunov functions are constructed; together with LaSalle’s invariance principle, the monkeypox‐free equilibrium point, E0, is established to be globally asymptotically stable whenever ℝ0 ≤ 1, as confirmed by the Lyapunov stability method, and the monkeypox‐endemic equilibrium point, E1, is globally asymptotically stable whenever ℝ0 > 1. Sensitivity analysis of the threshold quantity ℝ0 is performed using the Latin hypercube sampling method and Pearson’s partial rank correlation coefficient, and the results showed that the parameters β11, β22, μ, ν1, Λ1, ν2 were the most sensitive to the spread of monkeypox infection in an age‐structured population. It is, therefore, suggested that the rate of monkeypox infection can be reduced by ensuring that the rate of interaction between susceptible children and infected children and between susceptible adults and infected adults is minimized. Moreover, the spread of monkeypox infection can be curbed by emphasizing controls such as early diagnosis and treatment and hospitalization of critically ill infectives.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Mathematical modeling and optimal control analysis of Monkeypox virus in contaminated environment

Cited by 2 publications

References 41 publications

Comprehensive analysis of mathematical model of HIV/AIDS incorporating fisher-folk community

Comprehensive analysis of mathematical model of HIV/AIDS incorporating fisher-folk community

Transmission Dynamics of Monkeypox Virus With Age‐Structured Human Population: A Mathematical Modeling Approach

Contact Info

Product

Resources

About