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Global attractor in competitive Lotka–Volterra systems

✍ Scribed by Zhanyuan Hou

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
205 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

For autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Global Attractivity of the Periodic Lotk
Global Attractivity of the Periodic Lotka–Volterra System
✍ 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