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Open AccessArticle

Modeling and Optimal Control on the Spread of Hantavirus Infection

1
Faculty of Science and Mathematics, Sultan Idris Education University, Tanjong Malim, Perak Darul Ridzuan 35900, Malaysia
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School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang 11800, Malaysia
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(12), 1192; https://doi.org/10.3390/math7121192
Received: 4 September 2019 / Revised: 14 November 2019 / Accepted: 15 November 2019 / Published: 5 December 2019
(This article belongs to the Section Mathematics and Computer Science)
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. View Full-Text
Keywords: hantavirus infection; Pontryagin’s maximum principle; optimal control; numerical simulations; biodiversity model hantavirus infection; Pontryagin’s maximum principle; optimal control; numerical simulations; biodiversity model
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Mohamed Yusof, F.; Abdullah, F.A.; Md. Ismail, A.I. Modeling and Optimal Control on the Spread of Hantavirus Infection. Mathematics 2019, 7, 1192.

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