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Scirj, Volume V
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Scirj Volume I, Issue V, December 2013 Edition
ISSN: 2201-2796

Stability analysis of Lotka-Volterra model with Holling type II functional response

Abadi, Dian Savitri, Choirotul Ummah

Abstract: There are several studies on Lotka-Volterra Model has been done. Nevertheless, a few of them consider to supply with the information not only about analytical result but also information about local and global bifurcation of the solution of the system so that we have a complete information about the behaviour of the solution in terms of its stability. This study will analyze a Lotka-Volterra model with Holling type II functional response. The analysis starts with determining the equilibrium points of the system. Then by using center manifold and normal form analysis the information about stability of the other solutions, including the appearance of stable limit cycles, are obtained by continuing parameter. These results are confirmed by numerical simulations using MatCont. Biological interpretation of our results are also presented.

Reference this Paper: Stability analysis of Lotka-Volterra model with Holling type II functional response by Abadi, Dian Savitri, Choirotul Ummah published at: "Scientific Research Journal (Scirj), Volume I, Issue V, December 2013 Edition, Page 22-26 ".

Search Terms: Holling, predator, prey, stability, bifurcation

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