eng
International Academy of Ecology and Environmental Sciences
Computational Ecology and Software
2220-721X
2020-6-1
10
2
44
58
1
article
Stability analysis of a system of second order rational difference
equations
Muhammad Salman Khan
1
2
Qamar Din
1
2
Maria Habib
1
2
Muhammad Asif Khan
1
2
Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan
Department of Mathematics, University of the Poonch Rawalakot, Rawalakot 12350, Pakistan
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
system of rational difference equations of order two
boundedness and persistence
existence of
fixed point
linearized stability
global stability analysis
rate of convergence