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In this paper, we consider a predator-prey model with Allee effect, fear effect and prey refuge. By considering the prey refuge as a parameter, we give the threshold condition for the stability of the system, and prove that the system undergoes a supercritical Hopf bifurcation. We show that increasing the prey refuge or Allee effect can make the dynamical behavior of the system more complicated; the fear effect or Allee effect has no influence on the prey density, but can lead to a decrease of the predator population at positive equilibrium.
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ADVANCES IN DIFFERENCE EQUATIONS
ISSN: 1687-1847
Year: 2020
Issue: 1
Volume: 2020
2 . 8 0 3
JCR@2020
3 . 1 0 0
JCR@2023
JCR Journal Grade:1
CAS Journal Grade:2
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