alexa Invasive Species Model with Linear Rat Harvesting on Ea
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
Open Access

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Research Article

Invasive Species Model with Linear Rat Harvesting on Easter Island

Sebestyen GS and Farago I*

MTA-ELTE NumNet Reseach Group, Institute of Mathematics, Eotvos Lorand University, Hungary

*Corresponding Author:
Farago I
MTA-ELTE NumNet Reseach Group
Institute of Mathematics
Eotvos Lorand University, Hungary
Tel: +3614116500
E-mail:[email protected]

Received:December 02, 2015 Accepted: December 16, 2015 Published: December 21, 2015

Citation: Sebestyen GS, Farago I (2015) Invasive Species Model with Linear Rat Harvesting on Easter Island. J Appl Computat Math 4:278. doi:10.4172/2168-9679.1000278

Copyright: © 2015 Sebestyen GS, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

The invasive species model describes the connections between three species: People, trees and rats. In 2008, Basener, Brooks, Radin and Wiandt presented an article in that, they created a mathematical model for such dynamical system. In this work we changed the model and investigated the equilibrium points and stability of the invasive species model with harvesting. We have shown that the system has a conditionally stable equilibrium point, in this case the three populations live together. We made numerical simulations, too, and saw the amount of the rats decrease because of the harvesting.

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