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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Optimal Control Applied to Marine Eco-Epidemiological model with Disease in Prey Species

Journal of Applied Nonlinear Dynamics 12(4) (2023) 661--678 | DOI:10.5890/JAND.2023.12.003

S.M. Mahathy Hasan$^1$, Md. Haider Ali Biswas$^1$, Laek Sazzad Andallah$^2$

$^1$ Department of Mathematics, Jahangirnagar University, Saver, Dhaka, Bangladesh

$^2$ Mathematics Discipline, khulna University, Khulna, Bangladesh

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Abstract

In this paper, the purpose of the work is to modified of an Eco-epidemiocal model and analysis with the optimal control strategies for the infected prey. Furthermore, the dynamical behaviors, i.e. the positivity, boundedness, stability and Hopf bifurcation of the proposed model are investigated. The optimal control theory is applied to control the effect of disease on prey population and plays a vital role to eliminate disease from prey population.The results obtained suggested the optimal control is ensuring the prey-predator populations coexists in a defined habitat.

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