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Abstract:
We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities. Qual-itative analysis reveals that both effects are crucial in determining the dynamical behaviors of the model. There can be different types of bifurcations such as saddle-node bifurcation, non-degenerate Hopf bifurcation with a simple limit cycle, degenerate Hopf bifurcation with multiple limit cycles, Bogdanov-Takens bifurcation, and homoclinic bifurcation.
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MATHEMATICAL BIOSCIENCES AND ENGINEERING
ISSN: 1547-1063
Year: 2023
Issue: 6
Volume: 20
Page: 10977-10999
2 . 6 0 0
JCR@2022
ESI HC Threshold:13
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 4
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
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