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The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems

✍ Scribed by Xue-Zhi Li; G. Gupur; Xin-Hua Ji

Book ID
104349189
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
522 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, by introducing a concept called the degree of species, we obtain a set of sufficient conditions for the ultimate boundedness of nonautonomous n-species Lotka-Volterra tree systems. As a consequence, we also obtain the criteria of the existence of a globally stable equilibrium point for the autonomous Lotka-Volterra tree system. The criteria in this paper are in explicit forma of the parameters, and thus, are easily verifiable.

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Permanence and asymptotic behavior of the N-Species nonautonomous Lotka-Volterra competitive systems
✍ Zhidong Teng; Zhiming Li πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 464 KB

In this paper, we study the permanence and global asymptotic behavior for the Nspecies nonautonomous Lotka-Volterra competitive systems, where all the parameters are time dependent and asymptotically approach periodic functions, respectively. Some new criteria are established. The corresponding resu