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Periodicity in a nonlinear discrete predator–prey system with state dependent delays

✍ Scribed by Xiaoxing Chen

Book ID
108225951
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
200 KB
Volume
8
Category
Article
ISSN
1468-1218

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✍ Meng Fan; Ke Wang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 96 KB

With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system in a periodic environment.

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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 s