Open Access Open Access  Restricted Access Subscription or Fee Access

Dynamics of Harvested Predator-Prey System with Disease in Predator and Prey in Refuge

P.I. Trisdiani, Trisilowati, A. Suryanto

Abstract


In this paper, a mathematical model of predator prey incorporating harvesting and disease in the predator and prey in refuge are developed and discussed. The harvesting of susceptible and infective predator is assumed to obey the Holling functional responses of type II and type I, respectively. According to the analysis, there exist five equilibrium points. The local stability property of each equilibrium point is presented. The analytical finding is then confirmed by some numerical simulations. Furthermore, we also investigate the effects of predator harvesting and prey refuge in the proposed model. It is found numerically that harvesting of susceptible predator using Holling functional responses type II can maintain the existence of all populations, and harvesting of infected predator can be used as a biological control to prevent the spread of the disease. Moreover, the prey in refuge can avoid the extinction of prey population.

Keywords


Disease, Holling functional responses, predator harvesting, prey refuge, stability analysis.

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.