Analysis of diffusive two-competing-prey and one-predator systems with Beddington–Deangelis functional response

作者: Wonlyul Ko , Kimun Ryu

DOI: 10.1016/J.NA.2009.02.119

关键词: Stability (probability)Functional responseFixed-point indexMathematical economicsUniquenessMathematicsPredationApplied mathematicsExtinctionPredator

摘要: Abstract In this paper, a diffusive two-competing-prey and one-predator system with Beddington–DeAngelis functional response is considered. The sufficient necessary conditions for the existence of coexistence states are provided using fixed point index theory developed. addition, stability uniqueness investigated. Finally, paper discusses extinction permanence time-dependent system.

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