Permanence and existence of periodic solution of a discrete periodic Lotka–Volterra competition system with feedback control and time delays
Articles
Wenbin Li
Jiangsu Normal University, China
Zengji Du
Jiangsu Normal University, China
Dongcheng Xu
Jiangsu Normal University, China
Published 2015-04-20
https://doi.org/10.15388/NA.2015.2.3
PDF

Keywords

discrete competition system
permanence
periodic solution
feedback control
coincidence degree theory

How to Cite

Li, W., Du, Z. and Xu, D. (2015) “Permanence and existence of periodic solution of a discrete periodic Lotka–Volterra competition system with feedback control and time delays”, Nonlinear Analysis: Modelling and Control, 20(2), pp. 190–209. doi:10.15388/NA.2015.2.3.

Abstract

In this paper, we consider a discrete predator–prey system with feedback and time delays. By applying the theory of difference inequality, as well as analysis technique, sufficient conditions are obtained for the permanence of the system. And by applying Mawhin's coincidence degree theory, we obtain the existence of the positive periodic solutions.

PDF

Downloads

Download data is not yet available.