Open Access Open Access  Restricted Access Subscription or Fee Access

Stability Analysis of prey-Predator Model with Constant Harvesting of Prey Species.

Paparao. A. V


We studied the stability analysis of prey-predator model with constant harvesting of prey-species. The basic mathematical model is described by the couple of differential equation. The Holling type function -II response is included in the prey-predator interaction. The well posed ness of the model is explored. The bounded ness property and persistence is also addressed. The local stability analysis is studied at all equilibrium points. The global dynamics is also studied and shown that the system is asymptotically stable. Further numerical simulation is executed in support of stability analysis.


prey, predator, stability analysis, numerical examples

Full Text:


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. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.