Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay

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ID: 7750
2019
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Abstract
In this paper, a prey-predator model and weak Allee effect in prey growth and its dynamical behaviors are studied in detail. The existence, boundedness, and stability of the equilibria of the model are qualitatively discussed. Bifurcation analysis is also taken into account. After incorporating the searching delay and digestion delay, we establish a delayed predator-prey system with Allee effect. The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values. Finally, we present some numerical simulations to illustrate our theoretical analysis.
Reference Key
yong2019dynamicadvances Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Ye, Yong;Liu, Hua;Wei, Yu-mei;Ma, Ming;Zhang, Kai;Ye, Yong;Liu, Hua;Wei, Yu-mei;Ma, Ming;Zhang, Kai;
Journal advances in mathematical physics
Year 2019
DOI
10.1155/2019/7296461
URL
https://www.hindawi.com/journals/amp/2019/7296461/abs/
Keywords Keywords not found

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