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Effect of mobility and predator switching on the dynamical behavior of a predator-prey model

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  • Wang, Jin-Shan
  • Wu, Yong-Ping
  • Li, Li
  • Sun, Gui-Quan

Abstract

Predator switching is an indispensable factor for a general predator in food chain and spatial motions is also the basic feature in the dynamics of ecosystems. However, the effects of those behavior on population dynamic are not fully understood. To explore their roles, we introduce a predator-prey model with diffusion. What is more, we take the prey as a part of environmental carrying capacity of predator in model to describe predator switching which we also called predation dependence. Our purpose is to reveal that how this predator spatial distribution transforms and density change as the degree of dependence about predator on prey or prey’s mobility varies. Through the analysis of Hopf and Turing bifurcation, exact Turing region is obtained. Furthermore, to find which kind of pattern will arise we study the amplitude equations of the Turing pattern after carrying out the multiple scale analysis. Additionally, we alter the parameters which we are concerned in Turing domain to investigate how patterns transform. The results suggest that when the mobility of prey crosses a certain value, the prey population is inclined to extinct, its existence is being threatened. However, when the predator is dependent on this prey, then both population density of them will augment as the degree of dependence increases. This work systematically reveals the impact of spatial mobility and predator switching on population sustainability.

Suggested Citation

  • Wang, Jin-Shan & Wu, Yong-Ping & Li, Li & Sun, Gui-Quan, 2020. "Effect of mobility and predator switching on the dynamical behavior of a predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305417
    DOI: 10.1016/j.chaos.2019.109584
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    References listed on IDEAS

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    Cited by:

    1. Shivam, & Singh, Kuldeep & Kumar, Mukesh & Dubey, Ramu & Singh, Teekam, 2022. "Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Xue, Qiang & Liu, Chen & Li, Li & Sun, Gui-Quan & Wang, Zhen, 2021. "Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    3. Wang, Fatao & Yang, Ruizhi & Zhang, Xin, 2024. "Turing patterns in a predator–prey model with double Allee effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 170-191.

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