Journal
CHAOS SOLITONS & FRACTALS
Volume 120, Issue -, Pages 139-148Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2019.01.022
Keywords
Predator-prey model; Herd behavior; Herd shape; Hopf bifurcation; Time delay
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In this paper, a delayed predator-prey model with the presence of a social behavior for the prey population has been investigated. A new functional response is obtained. We studied the effect of the herd shape for the prey population on the prey and predator equilibrium densities. The analysis of the system has been also established where the boundedness, stability, Hopf bifurcation, stability of Hopf bifurcation are obtained. (C) 2019 Elsevier Ltd. All rights reserved.
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