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Kulenović, Mustafa R. S.; Nurkanović, M.

Global behavior of a two-dimensional competitive system of difference equations with stocking. (English) Zbl 1255.39014

Math. Comput. Modelling 55, No. 7-8, 1998-2011 (2012).
Summary: We investigate the global dynamics of solutions of competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non-hyperbolic equilibrium points.

Cited in 13 Documents

MSC:

39A30 Stability theory for difference equations
92D25 Population dynamics (general)
39A60 Applications of difference equations

Keywords:

basin of attraction; competitive; map; global stable manifold; stability
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References:

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