In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e., in the compactification of $\mathbb{R}^2$ adding the circle $\mathbb{S}^1$ of the infinity) modulo topological equivalence.
It is well-known that the equilibrium point of the Leslie-Gower model in the interior of the positive quadrant is a global attractor in this open quadrant, and in this paper we characterize where the orbits attracted by this equilibrium born.
Jaume LLIBRE
,
Claudia VALLS
. PHASE PORTRAITS OF THE LESLIE-GOWER SYSTEM[J]. Acta mathematica scientia, Series B, 2022
, 42(5)
: 1734
-1742
.
DOI: 10.1007/s10473-022-0502-4
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