Title of article :
Dynamics in a periodic two-species predator–prey system with pure delays
Author/Authors :
Mahemuti, Rouzimaimaiti XinjiangUniversity - College of Mathematics and System Sciences, China , Muhammadhaji, Ahmadjan XinjiangUniversity - College of Mathematics and System Sciences, China , Teng, Zhidong XinjiangUniversity - College of Mathematics and System Sciences, China
Abstract :
A class of non-autonomous two-species Lotka– Volterra predator–prey system with pure discrete time delays is discussed. Some sufficient conditions on the boundedness, permanence, extinction, positive periodic solution and global attractivity of the system are established by means of the comparison method, coincidence degree theory and Liapunov functional.
Keywords :
Lotka–Volterra predator–prey system , Discrete time delay , Liapunov functional , Global attractivity , Positive periodic solution
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
