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Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting

Author

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  • Negi, Kuldeep
  • Gakkhar, Sunita

Abstract

The impulsive harvesting strategy in prey–predator system with Beddington–DeAngelis functional response is studied. Conditions for existence and global stability of predator-free equilibrium solution have been established. The existence of nontrivial periodic solution is established when the predator-free periodic solution loses its stability. Numerical simulations of the impulsive system exhibit the rich complex dynamics in the positive octant for the key parameters.

Suggested Citation

  • Negi, Kuldeep & Gakkhar, Sunita, 2007. "Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting," Ecological Modelling, Elsevier, vol. 206(3), pages 421-430.
    • Handle: RePEc:eee:ecomod:v:206:y:2007:i:3:p:421-430
    DOI: 10.1016/j.ecolmodel.2007.04.007
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    Cited by:

    1. Wu, Xingjie & Huang, Wentao, 2009. "Dynamic analysis of a one-prey multi-predator impulsive system with Ivlev-type functional," Ecological Modelling, Elsevier, vol. 220(6), pages 774-783.
    2. Shang, Zuchong & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2021. "Bifurcation analysis and global dynamics in a predator–prey system of Leslie type with an increasing functional response," Ecological Modelling, Elsevier, vol. 455(C).
    3. Li, Xiaodi & Yang, Xueyan & Huang, Tingwen, 2019. "Persistence of delayed cooperative models: Impulsive control method," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 130-146.
    4. Luyao Lv & Xianyi Li, 2024. "Stability and Bifurcation Analysis in a Discrete Predator–Prey System of Leslie Type with Radio-Dependent Simplified Holling Type IV Functional Response," Mathematics, MDPI, vol. 12(12), pages 1-16, June.

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