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Dynamical behavior of a ratio dependent predator-prey system with distributed delay

✍ Scribed by Çelik, Canan


Book ID
115315350
Publisher
American Institute of Mathematical Sciences
Year
2011
Tongue
English
Weight
406 KB
Volume
16
Category
Article
ISSN
1531-3492

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Periodicity in a Delayed Ratio-Dependent
✍ 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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✍ Guojian Lin; Rong Yuan 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 349 KB

For the predator-prey system with distributed delay, when the distributed delay kernel is the general Gamma distributed delay kernel, the existence and the stability of periodic solution are obtained by using the linear chain trick and geometric singular perturbation theory. ~) 2005 Elsevier Ltd. Al