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Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms

Bifurcation and global dynamics of a Leslie-Gower type competitive system of rational difference equations with quadratic terms
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,017, pages 1-19 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: V. Hadžiabdić; M. R. S. Kulenović; E. Pilav;

doi: 10.1155/2017/3104512

Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms

Abstract

We investigate global dynamics of the following systems of difference equations xn+1=xn/A1+B1xn+C1yn, yn+1=yn2/A2+B2xn+C2yn2, n=0,1,…, where the parameters A1, A2, B1, B2, C1, and C2 are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers. This system is a version of the Leslie-Gower competition model for two species. We show that this system has rich dynamics which depends on the part of parametric space.

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Keywords

Population dynamics (general), Stability theory for difference equations, QA1-939, Mathematics, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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