Optimal Control of a Leptospirosis Epidemic Model

  • Ratchaneewan Paisanwarakiat Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
  • Rinrada Thamchai Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Keywords: Leptospirosis, Mathematical model, Basic reproduction number, Optimal control, Numerical-simulation

Abstract

In this paper, we extend the mathematical model of leptospirosis disease by considering the interaction of susceptible humans and susceptible vectors with both infected humans and infected vectors. Initially, we present the disease-free and endemic equilibrium points and also the basic reproduction number. Then, we introduce three control strategies by using Pontryagin’s Maximum Principle to derive necessary conditions for the optimal control of the disease. Finally, we discuss the numerical results. 

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Published
2021-03-16
How to Cite
Paisanwarakiat, R., & Thamchai, R. (2021). Optimal Control of a Leptospirosis Epidemic Model. Science & Technology Asia, 26(1), 9-17. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/214606
Section
Physical sciences