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Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission

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  • Gashirai, Tinashe B.
  • Musekwa-Hove, Senelani D.
  • Lolika, Paride O.
  • Mushayabasa, Steady

Abstract

A mathematical model for the transmission dynamics of foot-and-mouth disease that incorporates direct and indirect disease transmission pathways as well as vaccine failure and culling clinically infected animals is developed, analyzed and simulated. The basic reproduction number of the model is determined and qualitatively used to investigate the global stability of the model steady states. Meanwhile, optimal control theory is applied to the proposed model to identify optimal vaccination and culling strategies that can lead to effective control of the disease. Using data from literature, illustrations were performed to support analytical findings.

Suggested Citation

  • Gashirai, Tinashe B. & Musekwa-Hove, Senelani D. & Lolika, Paride O. & Mushayabasa, Steady, 2020. "Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305259
    DOI: 10.1016/j.chaos.2019.109568
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    References listed on IDEAS

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    Cited by:

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    3. Chao Liu & Peng Chen & Qiyu Jia & Lora Cheung, 2022. "Effects of Media Coverage on Global Stability Analysis and Optimal Control of an Age-Structured Epidemic Model with Multi-Staged Progression," Mathematics, MDPI, vol. 10(15), pages 1-28, August.

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