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- W3092609118 abstract "In this paper, we consider a quartic family of planar vector fields corresponding to a rational Kolmogorov type system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a variation on the classical Lotka–Volterra system. This family corresponds to the Leslie–Gower predator–prey model which uses the most common mathematical form of expressing the effect (or law) by Alle through the prey growth function. Applying the Wintner–Perko termination principle, we prove that the Leslie–Gower system with the Allee effect has at most two limit cycles surrounding one singular point." @default.
- W3092609118 created "2020-10-15" @default.
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- W3092609118 date "2020-09-01" @default.
- W3092609118 modified "2023-10-16" @default.
- W3092609118 title "Global Limit Cycle Bifurcations of a Rational Kolmogorov Type System" @default.
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- W3092609118 doi "https://doi.org/10.1109/dcnair50402.2020.9216913" @default.
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