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Two-prey one-predator model

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  • Elettreby, M.F.

Abstract

In this paper we propose a new multi-team prey–predator model, in which the prey teams help each other. We study its local stability. In the absence of predator, there is no help between the prey teams. So, we study the global stability and persistence of the model without help.

Suggested Citation

  • Elettreby, M.F., 2009. "Two-prey one-predator model," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2018-2027.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2018-2027
    DOI: 10.1016/j.chaos.2007.06.058
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    References listed on IDEAS

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    1. Zhang, Shuwen & Tan, Dejun & Chen, Lansun, 2006. "Chaos in periodically forced Holling type IV predator–prey system with impulsive perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 980-990.
    2. Jiang, Guirong & Lu, Qishao & Qian, Linning, 2007. "Complex dynamics of a Holling type II prey–predator system with state feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 448-461.
    3. Zhang, Shuwen & Tan, Dejun & Chen, Lansun, 2006. "Chaos in periodically forced Holling type II predator–prey system with impulsive perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 367-376.
    4. Sun, Chengjun & Han, Maoan & Lin, Yiping & Chen, Yuanyuan, 2007. "Global qualitative analysis for a predator–prey system with delay," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1582-1596.
    5. Y. Liu & M. A. Simaan, 2004. "Noninferior Nash Strategies for Multi-Team Systems," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 29-51, January.
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    Citations

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    Cited by:

    1. Jana, Soovoojeet & Ghorai, Abhijit & Guria, Srabani & Kar, T.K., 2015. "Global dynamics of a predator, weaker prey and stronger prey system," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 235-248.
    2. Banerjee, Ritwick & Das, Pritha & Mukherjee, Debasis, 2018. "Stability and permanence of a discrete-time two-prey one-predator system with Holling Type-III functional response," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 240-248.
    3. Uğur Erkin Kocamaz & Alper Göksu & Harun Taşkın & Yılmaz Uyaroğlu, 2021. "Control of chaotic two-predator one-prey model with single state control signals," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1563-1572, August.
    4. Shuai Li & Chengdai Huang & Xinyu Song, 2019. "Bifurcation Based-Delay Feedback Control Strategy for a Fractional-Order Two-Prey One-Predator System," Complexity, Hindawi, vol. 2019, pages 1-13, April.
    5. Rihan, F.A. & Rajivganthi, C, 2020. "Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    6. Yujing Yang & Wenzhe Tang, 2018. "Research on a 3D Predator-Prey Evolutionary System in Real Estate Market," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    7. Alsakaji, Hebatallah J. & Kundu, Soumen & Rihan, Fathalla A., 2021. "Delay differential model of one-predator two-prey system with Monod-Haldane and holling type II functional responses," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    8. Ying Yu & Yahui Chen & You Zhou, 2023. "Cross-Diffusion-Induced Turing Instability in a Two-Prey One-Predator System," Mathematics, MDPI, vol. 11(11), pages 1-12, May.

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