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Permanence criteria for general delayed discrete nonautonomous -species Kolmogorov systems and its applications
- Source :
-
Computers & Mathematics with Applications . Jan2010, Vol. 59 Issue 2, p812-828. 17p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, the permanence for the general nonautonomous -species discrete Kolmogorov systems with delays is studied. By using the method of multiple discrete Lyapunov-like functionals, a quite general sufficient condition is established. As application of this result, new sufficient conditions are obtained to ensure the permanence of all species for the discrete nonautonomous pure-delayed -species Lotka–Volterra competitive systems and food chain systems. Particularly, as special cases, a series of new sufficient conditions on the permanence for the discrete nonautonomous pure-delayed Lotka–Volterra two-species competitive systems, predator–prey systems and three-species food chain systems, and the discrete autonomous pure-delayed Lotka–Volterra competition systems and food chain systems are obtained. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 59
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 47446969
- Full Text :
- https://doi.org/10.1016/j.camwa.2009.10.011