Abstract
This paper proposes a model with two type of preys and one predator of fishery with Holling type IV function response. The effect of harvesting was incorporated to both populations and thoroughly analysed. We study the dynamics as the prey-predator system of fishing in two fishing zones: a free zone and a reserved zone. The equilibrium points are calculated and the local and global stability conditions of the system are obtained. The local stability conditions were obtained by the Routh-Hurwitz criterion. In addition, the global stability of the coexistence equilibrium point is proved by defining an appropriate Lyapunov function. The optimal harvesting policy is discussed by using the Pontryagin’s Maximal Principle. Finally, numerical simulations are carried to verify the analytical results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
