Global dynamics of an anti-competitive system of rational difference equations in the plane

We investigate global dynamics of the following systems of difference equations where the parameters are positive numbers and initial conditions and are arbitrary non-negative numbers. We find all possible dynamical scenarios for this system.

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Bibliographic Details
Published inJournal of difference equations and applications Vol. 19; no. 11; pp. 1849 - 1871
Main Authors Kalabušić, S., Kulenović, M.R.S., Pilav, E.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.11.2013
Taylor & Francis Ltd
Subjects
competitive map
Difference equations
Differential equations
Dynamic tests
Dynamical systems
Dynamics
global stable manifold
Initial conditions
Linear algebra
monotonicity
Numerical analysis
period-two solution
Planes
Primary: 39A10, 39A11
Secondary: 37D10
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Summary:We investigate global dynamics of the following systems of difference equations where the parameters are positive numbers and initial conditions and are arbitrary non-negative numbers. We find all possible dynamical scenarios for this system.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2013.787420