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Modeling and Optimal Control on the Spread of Hantavirus Infection

Author

Listed:
  • Fauzi Mohamed Yusof

    (Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim, Perak Darul Ridzuan 35900, Malaysia)

  • Farah Aini Abdullah

    (School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia)

  • Ahmad Izani Md. Ismail

    (School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia)

Abstract

In this paper, optimal control theory is applied to a system of ordinary differential equations representing a hantavirus infection in rodent and alien populations. The effect of the optimal control in eliminating the rodent population that caused the hantavirus infection is investigated. In addition, Pontryagin’s maximum principle is used to obtain the necessary condition for the controls to be optimal. The Runge–Kutta method is then used to solve the proposed optimal control system. The findings from the optimal control problem suggest that the infection may be eradicated by implementing some controls for a certain period of time. This research concludes that the optimal control mathematical model is an effective method in reducing the number of infectious in a community and environment.

Suggested Citation

  • Fauzi Mohamed Yusof & Farah Aini Abdullah & Ahmad Izani Md. Ismail, 2019. "Modeling and Optimal Control on the Spread of Hantavirus Infection," Mathematics, MDPI, vol. 7(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1192-:d:294486
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    References listed on IDEAS

    as
    1. Muhammad Altaf Khan & Saeed Islam & Sher Afzal Khan & Ilyas Khan & Sharidan Shafie & Taza Gul, 2014. "Prevention of Leptospirosis Infected Vector and Human Population by Multiple Control Variables," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, November.
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    Cited by:

    1. Yousef Alnafisah & Moustafa El-Shahed, 2022. "Stochastic Analysis of a Hantavirus Infection Model," Mathematics, MDPI, vol. 10(20), pages 1-15, October.

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