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Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control

Article scientifique 2017 Anglais

Résumé

This paper presents and examine a mathematical system of equations which describes the dynamics of pine wilt disease (PWD). Firstly, we examine the model with constant controls. Here, we investigate the disease equilibria and calculate the basic reproduction number of the disease. Secondly, we incorporate time dependent controls into the model and then analyze the conditions that are necessary for the disease to be controlled optimally. Finally, the numerical results for the model are presented.

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Khan, M., Ali, K., Bonyah, E., Okosun, K., Islam, S., Khan, A. (2017). Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control. https://doi.org/10.1038/s41598-017-03179-w

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Auteur(s)

Muhammad Altaf Khan Kashif Ali Ebenezer Bonyah Kazeem O. Okosun Saeed Islam Adnan Khan

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