Stability analysis of a system of second order rational difference
equations
Muhammad Salman Khan
Qamar Din
Maria Habib
Muhammad Asif Khan
Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan
Department of Mathematics, University of the Poonch Rawalakot, Rawalakot 12350, Pakistan
Computational Ecology and Software
ISSN 2220-721X
http://www.iaees.org/publications/journals/ces/online-version.asp
2020
10
2
44
58
International Academy of Ecology and Environmental Sciences
Hong Kong
6 January 2020
15 February 2020
1 June 2020
system of rational difference equations of order two
boundedness and persistence
existence of
fixed point
linearized stability
global stability analysis
rate of convergence
In this paper we consider a system of second order rational difference equations. We mainly discuss the boundedness and persistence, existence of fixed point, and uniqueness of positive fixed point, local and global behavior of positive fixed point and rate of convergence of every positive solution of the system under discussion. It will be shown that the system under discussion exhibits some special dynamics such as same mathematical condition for existence of fixed point and its global stability. Finally, some numerical examples are provided for verification of theoretical results.
http://www.iaees.org/publications/journals/ces/articles/2020-10(2)/stability-analysis-of-a-rational-difference-equations.pdf