E-ISSN 3115-5057 | ISSN 3115-5049
 
2025, Vol: 2, Issue: 2
2 / 2Current Issue Online FirstArchiveAims and ScopeAbstracting & Indexing

Research Article 


Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection

Abdullahi Alhassan, Samuel Musa, Abdulfatai Atte Momoh, Salaudeen Yusuf.


Cited By:1

Abstract
This study examined the dynamics of the yaws infection in the population by developing a non-linear model for the infection. The model's solution's boundedness and positivity were determined by applying the comparison theorem in conjunction with the integration method. Disease-free equilibrium was established, and the basic reproduction number was derived using the next-generation matrix. The disease-free equilibrium (DFE) of the model was examined locally using the linearization approach. It was discovered that the real parts of the eigenvalues are negative, indicating that the DFE is locally asymptotically stable (LAS). The global stability of the DFE for the model was examined using the Castello-Chavez approach, and the results indicated that the DFE is globally asymptotically stable. The impact of the treatment on the transmission dynamics of the disease has been investigated through numerical simulation of the model using ODE45 in Matlab.

Key words: Transmission, Non-linear, Positivity, Infection, Reproduction number


 
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How to Cite this Article
Pubmed Style

Alhassan A, Musa S, Momoh AA, Yusuf S. Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. CUJOSTECH. 2024; 1(1): 36-49. doi:10.5455/CUJOSTECH.240705

Web Style

Alhassan A, Musa S, Momoh AA, Yusuf S. Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. https://www.cujostech.com.ng/?mno=196786 [Access: June 23, 2026]. doi:10.5455/CUJOSTECH.240705

AMA (American Medical Association) Style

Alhassan A, Musa S, Momoh AA, Yusuf S. Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. CUJOSTECH. 2024; 1(1): 36-49. doi:10.5455/CUJOSTECH.240705


Vancouver/ICMJE Style

Alhassan A, Musa S, Momoh AA, Yusuf S. Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. CUJOSTECH. (2024), [cited June 23, 2026]; 1(1): 36-49. doi:10.5455/CUJOSTECH.240705


Harvard Style

Alhassan, A., Musa, . S., Momoh, . A. A. & Yusuf, . S. (2024) Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. CUJOSTECH, 1 (1), 36-49. doi:10.5455/CUJOSTECH.240705


Turabian Style

Alhassan, Abdullahi, Samuel Musa, Abdulfatai Atte Momoh, and Salaudeen Yusuf. 2024. Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. Confluence University Journal of Science and Technology, 1 (1), 36-49. doi:10.5455/CUJOSTECH.240705


Chicago Style

Alhassan, Abdullahi, Samuel Musa, Abdulfatai Atte Momoh, and Salaudeen Yusuf. "Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection." Confluence University Journal of Science and Technology 1 (2024), 36-49. doi:10.5455/CUJOSTECH.240705


MLA (The Modern Language Association) Style

Alhassan, Abdullahi, Samuel Musa, Abdulfatai Atte Momoh, and Salaudeen Yusuf. "Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection." Confluence University Journal of Science and Technology 1.1 (2024), 36-49. Print. doi:10.5455/CUJOSTECH.240705


APA (American Psychological Association) Style

Alhassan, A., Musa, . S., Momoh, . A. A. & Yusuf, . S. (2024) Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection. Confluence University Journal of Science and Technology, 1 (1), 36-49. doi:10.5455/CUJOSTECH.240705


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