Influence of Non-Selective Harvesting and Prey Reserve Capacity on Prey-Predator Dynamics

Manju Agarwal; Rachana Pathak

doi:https://doi.org/10.14445/22315373/IJMTT-V4I11P6

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 11 | Year 2013 | Article Id. IJMTT-V4I11P6 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I11P6

Influence of Non-Selective Harvesting and Prey Reserve Capacity on Prey-Predator Dynamics

Manju Agarwal , Rachana Pathak

Abstract

In the present paper, we have developed a simple two species prey-predator model in which the prey dispersal in a two patch environment, one is assumed to be a free hunting zone and the other is a reserved zone where hunting and other extractive activities are prohibited. We assume that the prey possesses heterogeneous intrinsic growth rate with uniform carrying capacity. We also see the effect of non selective harvesting on prey-predator system in a free hunting zone. Criteria for local stability of the non-negative equilibria are obtained. Using differential inequality, we obtain sufficient conditions that ensure the persistence of the system. Finally, numerical simulations are given to verify the analytical results with the help of different sets of parameters.

Keywords

Prey-Predator, Reserve Area, Harvesting, Stability, Persistence.

References

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Citation :

Manju Agarwal , Rachana Pathak, "Influence of Non-Selective Harvesting and Prey Reserve Capacity on Prey-Predator Dynamics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 11, pp. 295-309, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I11P6