THAMMASAT INTERNATIONAL JOURNAL OF SCIENCE & TECHNOLOGY

Volume 26, No. 01, Month JANUARY, Year 2021, Pages 9 - 17

Optimal control of a leptospirosis epidemic model

Ratchaneewan Paisanwarakiat, Rinrada Thamchai

Abstract Download PDF

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.

Keywords

Leptospirosis, Mathematical model, Basic reproduction number, Optimal control, Numerical-simulation

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