TITLE:
Asymptotic Stability of Solutions of Lotka-Volterra Predator-Prey Model for Four Species
AUTHORS:
A. A. Soliman, E. S. Al-Jarallah
KEYWORDS:
Lotka-Volterra, Prey-Predators, Species, Equilibrium Points Stability, Locally Asymptotically Stable, Globally Asymptotically Stable, Unstable
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.4,
April
22,
2015
ABSTRACT: In this paper, we consider Lotka-Volterra predator-prey model between one and three species. Two cases are distinguished. The first is Lotka-Volterra model of one prey-three predators and the second is Lotka-Volterra model of one predator-three preys. The existence conditions of nonnega-tive equilibrium points are established. The local stability analysis of the system is carried out.