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http://dx.doi.org/10.1137/1.9780898719147

has been cited by the following article:

• 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.