Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags
We discuss a general n-species discrete Kolmogorov system with time lags. We build some new results about the sufficient conditions for permanence, extinction, and balancing survival. When applying these results to some Lotka-Volterra systems, we obtain the criteria on harmless delay for the permane...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/517378 |
| _version_ | 1828412160721551360 |
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| author | Shengqiang Liu |
| author_facet | Shengqiang Liu |
| author_sort | Shengqiang Liu |
| collection | DOAJ |
| description | We discuss a general n-species discrete Kolmogorov system with time lags. We build some new results about the sufficient conditions for permanence, extinction, and balancing survival. When applying these results to some Lotka-Volterra systems, we obtain the criteria on harmless delay for the permanence as well as profitless delay for balancing survival. |
| first_indexed | 2024-12-10T12:44:06Z |
| format | Article |
| id | doaj.art-209b245f4e694fb5b2c94ab2415fe108 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T12:44:06Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-209b245f4e694fb5b2c94ab2415fe1082022-12-22T01:48:26ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/517378Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time LagsShengqiang LiuWe discuss a general n-species discrete Kolmogorov system with time lags. We build some new results about the sufficient conditions for permanence, extinction, and balancing survival. When applying these results to some Lotka-Volterra systems, we obtain the criteria on harmless delay for the permanence as well as profitless delay for balancing survival.http://dx.doi.org/10.1155/2010/517378 |
| spellingShingle | Shengqiang Liu Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags Advances in Difference Equations |
| title | Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags |
| title_full | Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags |
| title_fullStr | Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags |
| title_full_unstemmed | Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags |
| title_short | Asymptotical Behaviors of Nonautonomous Discrete Kolmogorov System with Time Lags |
| title_sort | asymptotical behaviors of nonautonomous discrete kolmogorov system with time lags |
| url | http://dx.doi.org/10.1155/2010/517378 |
| work_keys_str_mv | AT shengqiangliu asymptoticalbehaviorsofnonautonomousdiscretekolmogorovsystemwithtimelags |