Open Access Open Access  Restricted Access Subscription or Fee Access

Non-constant Prey Harvesting in a Ratio-Dependent Predator-Prey System with Predator Self Limitation and Prey using a Constant Refuge

Sapna Devi, Rameshwar Prasad Mishra

Abstract



This paper deals with a ratio-dependent predator-prey model with predator self limitation in which prey species use a constant refuge. Harvesting of only that population of prey
species has been considered which is not using refuge. Conditions for local as well as global stability have been derived. Optimal harvesting policy has been discussed treating
tax as control variable. By numerical simulations it is shown that the dynamic behaviour of the system is very much affected by the prey refuge parameter and the level of tax imposed. It is also shown that the self limitation parameter plays a very crucial role in maintaining the predator population at appropriate level when prey population increases or decreases.

Keywords


Predator-prey; prey refuge; self limitation; tax; stability; optimal harvesting; numerical simulation.

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.