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Rina Exviani
Magister Mathematics of Brawijaya University
Biochemistry, Genetics & Molecular Biology Immunology & microbiology Medicine & Pharmacology Neuroscience

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Dynamical Analysis of Predator-Prey Model Leslie-Gower with Omnivore Rina Exviani; Wuryansari Muharini Kusumawinahyu; Noor Hidayat
The Journal of Experimental Life Science Vol. 8 No. 2 (2018)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1306.624 KB) | DOI: 10.21776/ub.jels.2018.008.02.10

Abstract

This article discussed a dynamical analysis on a model of predator-prey Leslie-Gower with omnivores which is modified by Lotka-Volterra model with omnivore. The dynamical analysis is done by determining the equilibrium point with its existing condition and analyzing the local stability of the equilibrium point. Based on the analysis, there are seven points of equilibrium. Three of them always exist while the four others exist under certain conditions. Four points of equilibrium, namely and are unstable, while the others three equilibrium point are local asymptotically stable under certain conditions. Moreover, it's also conducted numerical simulations to illustrate the analytical. The results of numerical simulations agree with the results of the dynamical analysis. Keywords: local stability, omnivore, predator-prey models, the equilibrium point
Co-Authors Hidayat, Noor Wuryansari Muharini Kusumawinahyu