A spatial predator–prey system with non-renewable resources

Zeyan Wu, Jianjuan Li, Shuying Liu, Liuting Zhou and Yang Luo

Applied Mathematics and Computation, 2019, vol. 347, issue C, 381-391

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.

Keywords: Predator–prey system; Non-renewable resource; Harvesting; Bogdanov–Takens bifurcation; Spatial pattern (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:381-391

DOI: 10.1016/j.amc.2018.11.039

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