Open Access Open Access  Restricted Access Subscription Access

Two Types of Prey–Predator Models With Harvesting: Optimal Control and Optimal Harvesting Policy

S. Vijaya, J. Jayamal Singh, E. Rekha

Abstract




ABSTRACT
This article presents a three species model from which one predator species another two prey species in competition with harvesting model. We analyze the positively, boundedness of the system of equations. We have derived bionomic phenomena of optimal harvesting policy with optimal equilibrium point and the optimal harvesting effort E1;E2: Also, we have derived bionomic phenomena of optimal control policy with optimal equilibrium point and the optimal harvesting effort E. The analytical and numerical solutions are analyzed and proposed.

Keywords


Prey–predator model; Optimal control; Optimal harvesting effort; Lyapunov stability.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.