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Nevin Manimala Statistics

Stability of a fear effect predator-prey model with mutual interference or group defense

J Biol Dyn. 2022 Dec;16(1):480-498. doi: 10.1080/17513758.2022.2091800.

ABSTRACT

In this paper, we consider a fear effect predator-prey model with mutual interference or group defense. For the model with mutual interference, we show the interior equilibrium is globally stable, and the mutual interference can stabilize the predator-prey system. For the model with group defense, we discuss the singular dynamics around the origin and the occurrence of Hopf bifurcation, and find that there is a separatrix curve near the origin such that the orbits above which tend to the origin and the orbits below which tend to limit cycle or the interior equilibrium.

PMID:35759246 | DOI:10.1080/17513758.2022.2091800

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