A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies

Muhammad Altaf Khan, Rizwan Khan, Yasir Khan and Saeed Islam

Chaos, Solitons & Fractals, 2018, vol. 108, issue C, 205-217

Abstract: The present paper describes the dynamics of the Pine Wilt disease with variable population size. The basic mathematical results for the model are presented. The stability analysis of both the disease-free and endemic cases are presented whenever R0 lesser or greater than one, respectively. Further, an optimal control problem is formulated and the necessarily involved results are presented. Moreover, the numerical simulation of the optimal control problem with suggested control strategies for the possible eliminations of the infection in the pine trees population is presented.

Keywords: Pine Wilt Disease (PWD); Stability analysis; Reproduction number; Global stability; Numerical results (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:108:y:2018:i:c:p:205-217

DOI: 10.1016/j.chaos.2018.02.002

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