Global dynamics of anti-competitive systems in the plane

Authors

S. Kalabusǐć, University of Sarajevo
M. R.S. Kulenović, University of Sarajevo
E. Pilav, University of Rhode Island

Document Type

Article

Date of Original Version

9-23-2013

Abstract

We give some general results about global dynamics of an anti-competitive system of the form {xn+1 = T1(xn; yn) yn+1 = T2(xn; yn) ; n = 0; 1; 2; : : : where T1 : L × J → L, T2: L ×J → J and (x0; y0) 2 I∈ J ; and functions T1 and T2 are continuous and T1(x; y) is non-increasing in x and non- decreasing in y while T2(x; y) is non-decreasing in x and non-increasing in y. We illustrate our results by means of an example which shows a variety of typical dynamical behavior for an anti-competitive system. Copyright © 2013 Watam Press.

Publication Title, e.g., Journal

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volume

20

Issue

4

Citation/Publisher Attribution

Kalabusǐć, S., M. R. Kulenović, and E. Pilav. "Global dynamics of anti-competitive systems in the plane." Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 20, 4 (2013): 477-505. https://digitalcommons.uri.edu/math_facpubs/170