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Asymptotic Stability of Solutions of Lotka-Volterra Predator-Prey Model for Four Species
Department of Mathematics, Faculty of Sciences, Benha University, Benha, Egypt
Department of Mathematics, Faculty of Education, Al Jouf University, Al-Jawf, Kingdom of Saudi Arabia
- 1 Department of Mathematics, Faculty of Sciences, Benha University, Benha, Egypt
- 2 Department of Mathematics, Faculty of Education, Al Jouf University, Al-Jawf, Kingdom of Saudi Arabia
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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.
KeywordsLotka-VolterraPrey-PredatorsSpeciesEquilibrium Points StabilityLocally Asymptotically StableGlobally Asymptotically StableUnstable
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