Impact of prey herd shape on the predator-prey interaction

Salih Djilali

Chaos, Solitons & Fractals, 2019, vol. 120, issue C, 139-148

Abstract: 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.

Keywords: Predator-prey model; Herd behavior; Herd shape; Hopf bifurcation; Time delay (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:120:y:2019:i:c:p:139-148

DOI: 10.1016/j.chaos.2019.01.022

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