Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 323
Optimal control of an infected prey-predator model with modified Holling function response.
Oussama Lazaar, Mustapha Serhani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2279
April 15, 2279

Abstract: This paper deals with a Lotka-Volterra prey-predator model with infected preys. We presume the prey population has refuge as a defense mechanism to avoid predation, which was modeled by a constant incorporate in the modified Holling function. This model outlines interaction among susceptible, infected, treated, vaccinated prey population and predators, in addition to a strategy of vaccination and treatment as controls. We investigate the existence, positivity, and boundedness of the controlled dynamical system solutions and the existence of optimal control. In the second part, we check ...