Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms
Joint Authors
Kulenovic, Mustafa R. S.
Pilav, E.
Hadžiabdić, V.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-02
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hadžiabdić, V.& Kulenovic, Mustafa R. S.& Pilav, E.. 2017. Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1120792
Modern Language Association (MLA)
Hadžiabdić, V.…[et al.]. Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms. Abstract and Applied Analysis No. 2017 (2017), pp.1-19.
https://search.emarefa.net/detail/BIM-1120792
American Medical Association (AMA)
Hadžiabdić, V.& Kulenovic, Mustafa R. S.& Pilav, E.. Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-19.
https://search.emarefa.net/detail/BIM-1120792
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120792