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Published in 2024 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-024-01155-0
Abstract: We deal with a Leslie-Gower predator–prey model with a generalist or alternating food for predator and linear functional response. Using a topological equivalent polynomial system we prove that the system is not Liouvillian (hence also…
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Keywords:
predator;
gower predator;
leslie gower;
model ... See more keywords
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Published in 2018 at "Ain Shams Engineering Journal"
DOI: 10.1016/j.asej.2016.07.007
Abstract: Abstract In the present article, a modified Leslie-Gower predator-prey model with double Allee effect, affecting the prey population, is proposed and analyzed. We have considered both strong and weak Allee effects separately. The equilibrium points…
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Keywords:
predator prey;
prey model;
leslie gower;
modified leslie ... See more keywords
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Published in 2024 at "Chaos"
DOI: 10.1063/5.0204183
Abstract: For the Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting, the known results are on the saddle-node bifurcation and the Hopf bifurcation of codimensions 1, the Bogdanov-Takens bifurcations of codimensions 2 and 3, and on…
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Keywords:
slow fast;
gower predator;
leslie gower;
canard ... See more keywords
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Published in 2017 at "Discrete and Continuous Dynamical Systems - Series S"
DOI: 10.3934/dcdss.2017065
Abstract: In the present paper the dynamics of a Leslie-Gower predator-prey model with Michaelis-Menten type predator harvesting is studied. We give out all the possible ranges of parameters for which the model has up to five…
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Keywords:
predator prey;
leslie gower;
predator harvesting;
predator ... See more keywords