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A spatial predator–prey system with non-renewable resources

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Listed:
  • Wu, Zeyan
  • Li, Jianjuan
  • Liu, Shuying
  • Zhou, Liuting
  • Luo, Yang

Abstract

Non-renewable resources and harvesting widely exist in biological systems. In this work, we present a detailed study on a predator–prey model including these two factors. We demonstrate that such system shows the property of bifurcations behavior, which is induced by non-renewable resources and harvesting. Furthermore, spatial effects are combined, and we obtain rich pattern dynamics. The obtained results reveal that non-renewable resources and harvesting play crucial roles in predator–prey interaction and may account for the ecological complexity in a real environment.

Suggested Citation

  • Wu, Zeyan & Li, Jianjuan & Liu, Shuying & Zhou, Liuting & Luo, Yang, 2019. "A spatial predator–prey system with non-renewable resources," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 381-391.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:381-391
    DOI: 10.1016/j.amc.2018.11.039
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    References listed on IDEAS

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    1. Qin, Bo-Wei & Chung, Kwok-Wai & Algaba, Antonio & Rodríguez-Luis, Alejandro J., 2020. "Analytical approximation of cuspidal loops using a nonlinear time transformation method," Applied Mathematics and Computation, Elsevier, vol. 373(C).

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