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Permanence and global stability for a two-species cooperative system with time delays in a two-patch environment

✍ Scribed by Jingru Zhang; Lansun Chen


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
374 KB
Volume
32
Category
Article
ISSN
0898-1221

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✦ Synopsis


A two-species nonautonomous delayed system is considered. The system models twopopulation dispersal between two patches in a heterogeneous environment. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are established for global stability of the system.


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Periodic Solution for a Two-Species Nona
✍ Zhengqiu Zhang; Zhicheng Wang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 108 KB

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 -Ξ² t 0 -Ο„ K s y t + s ds is established, where r i t a i t i