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The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system

✍ Scribed by Li, Chengzhi; Llibre, Jaume


Book ID
120352145
Publisher
Institute of Physics
Year
2009
Tongue
English
Weight
212 KB
Volume
22
Category
Article
ISSN
0951-7715

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📜 SIMILAR VOLUMES


The Cyclicity of the Period Annulus of t
✍ Iliya D. Iliev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 499 KB

The paper studies quadratic Hamiltonian centers surrounded by a separatrix contour having a form of a triangle. It is proved that in this situation the cyclicity of the period annulus under quadratic perturbations is equal to three.

Global Attractivity of the Periodic Lotk
✍ Yang Pinghua; Xu Rui 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 86 KB

A Lotka᎐Volterra periodic model with m-predators and n-preys is studied in this paper. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained. Finally, a suitable example is given to illustrate