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Positive periodic solutions in generalized ratio-dependent predator–prey systems

✍ Scribed by Xiaoquan Ding

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
170 KB
Volume
9
Category
Article
ISSN
1468-1218

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✦ Synopsis

By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions in generalized ratio-dependent predator-prey systems. Some known results are shown to be special cases of the presented paper.

📜 SIMILAR VOLUMES

Periodicity in a Delayed Ratio-Dependent
Periodicity in a Delayed Ratio-Dependent Predator–Prey System
✍ 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.