Periodic Solution for a Two-Species Nonautonomous Competition Lotka–Volterra Patch System with Time Delay

✍ Scribed by Zhengqiu Zhang; Zhicheng Wang

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 108 KB
• Volume: 265
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7682

✦ Synopsis

By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay,

y t = y t r 3 t -a 3 t x 1 t -b 3 t y t -β t 0 -τ K s y t + s ds is established, where r i t a i t i = 1 2 3 D i t i = 1 2 b i t i = 1 3 , and β t are all positive periodic continuous functions with period w > 0 τ is a nonnegative constant, and K s is a continuous nonnegative function on -τ 0 .  2002