Qualitative behavior of an anti-competitive system of third-order
rational difference equations
Q. Din
M. N. Qureshi
A. Q. Khan
Department of Mathematics, Faculty of Basic and Applied Sciences, University of PoonchRawalakot, Pakistan
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan
Computational Ecology and Software
ISSN 2220-721X
http://www.iaees.org/publications/journals/ces/online-version.asp
2014
4
2
104
115
International Academy of Ecology and Environmental Sciences
Hong Kong
6 December 2013
10 January 2014
1 June 2014
rational difference equations
stability
global character
rate of convergence
In this paper, our aim is to study the equilibrium points, local asymptotic stability, global behavior of an equilibrium points and rate of convergence of an anti-competitive system of third-order rational difference equations of the form: x(n+1)=ay(n-2)/[b+rx(n)x(n-1)x(n-2)], y(n+1)=cx(n-2)/[d+hy(n)y(n-1)y(n-2)], n=0,1,2,..., where the parameters a, b, c, d, r, h and initial conditions x(0), x(-1), x(-2), y(0), y(-1), y(-2) are positive real numbers. Some numerical examples are given to verify our theoretical results.
DOI 10.0000/issn-2220-721x-compuecol-2014-v4-0009
http://www.iaees.org/publications/journals/ces/articles/2014-4(2)/qualitative-behavior-of-an-anti-competitive-system-of-difference-equations.pdf