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Asymptotic Stability of Solutions of Lotka-Volterra Predator-Prey Model for Four Species

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DOI: 10.4236/am.2015.64063    3,575 Downloads   4,443 Views  


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.

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The authors declare no conflicts of interest.

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Soliman, A. and Al-Jarallah, E. (2015) Asymptotic Stability of Solutions of Lotka-Volterra Predator-Prey Model for Four Species. Applied Mathematics, 6, 684-693. doi: 10.4236/am.2015.64063.


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