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Periodicity and asymptotic stability of a predator–prey system with infinite delays

✍ Scribed by Weiping Yan; Jurang Yan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
304 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

By using a fixed point theorem and Lyapunov functional, an especially easily checked criterion is obtained for the global existence and global asymptotic stability of positive periodic solutions of a periodic predator-prey system with infinite delays. Moreover, the global existence theorem is also sufficient and necessary. This result improves and generalizes noticeably some known results.

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