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Sliding motion control of Echinococcosis transmission dynamics model

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  • Gong, Wei
  • Wang, Zhanping

Abstract

Hydatid disease is a chronic zoonotic parasitic disease caused by Echinococcus. This paper proposes and analyzes a mathematical model of Echinococcosis disease system with a piecewise control function concerning threshold policy. The model is represented the control measures being triggered once the total number of infected hosts and human reaches the tolerant level. Model solutions are able to approach either one real equilibrium or the pseudo-equilibrium, depending on the tolerant threshold. Our results suggest that in order to diminish the outbreak of Echinococcosis or lead the number of infecteds to an expected level, it requires not only adequate hospital resources and certain government interventions, but also a good threshold policy.

Suggested Citation

  • Gong, Wei & Wang, Zhanping, 2023. "Sliding motion control of Echinococcosis transmission dynamics model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 468-482.
    • Handle: RePEc:eee:matcom:v:205:y:2023:i:c:p:468-482
    DOI: 10.1016/j.matcom.2022.10.008
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    References listed on IDEAS

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    1. Liping Zhang & Li Wang & Yanling Zheng & Kai Wang & Xueliang Zhang & Yujian Zheng, 2017. "Time Prediction Models for Echinococcosis Based on Gray System Theory and Epidemic Dynamics," IJERPH, MDPI, vol. 14(3), pages 1-14, March.
    2. Asier Ibeas & Manuel de la Sen & Santiago Alonso-Quesada, 2014. "Robust Sliding Control of SEIR Epidemic Models," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, March.
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