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Dynamics of a Predator-Prey System with Mixed Functional Responses

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  • Hunki Baek
  • Dongseok Kim

Abstract

A predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about equilibrium points and stabilities of two subsystems without one of the preys of system. Also, persistence conditions of system are found out and some numerical examples are illustrated to substantiate our theoretical results.

Suggested Citation

  • Hunki Baek & Dongseok Kim, 2014. "Dynamics of a Predator-Prey System with Mixed Functional Responses," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, September.
    • Handle: RePEc:hin:jnljam:536019
    DOI: 10.1155/2014/536019
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    Cited by:

    1. Wang, Yong & Zhou, Xu & Jiang, Weihua, 2023. "Bifurcations in a diffusive predator–prey system with linear harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Zou, Xiaoling & Li, Qingwei & Cao, Wenhao & Lv, Jingliang, 2023. "Thresholds and critical states for a stochastic predator–prey model with mixed functional responses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 780-795.

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