Practical persistence for differential delay models of population interactions
Practical persistence refers to determining specific estimates in terms of model data for the asymptotic distance to the boundary of the feasible region for uniformly persistent population interaction models. In this paper we illustrate practical persistence by computing, using multiple Liapunov fun...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
1998-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/01/c1/abstr.html |
| _version_ | 1811246172166160384 |
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| author | Yulin Cao Thomas C. Gard |
| author_facet | Yulin Cao Thomas C. Gard |
| author_sort | Yulin Cao |
| collection | DOAJ |
| description | Practical persistence refers to determining specific estimates in terms of model data for the asymptotic distance to the boundary of the feasible region for uniformly persistent population interaction models. In this paper we illustrate practical persistence by computing, using multiple Liapunov functions, such estimates for a few basic examples of competition and predator-prey type which may include time delays in the net per capita growth rates. |
| first_indexed | 2024-04-12T14:49:52Z |
| format | Article |
| id | doaj.art-8c3696fbd047470194ba1cf96cb861b6 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T14:49:52Z |
| publishDate | 1998-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8c3696fbd047470194ba1cf96cb861b62022-12-22T03:28:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-11-01Conference014153Practical persistence for differential delay models of population interactionsYulin CaoThomas C. GardPractical persistence refers to determining specific estimates in terms of model data for the asymptotic distance to the boundary of the feasible region for uniformly persistent population interaction models. In this paper we illustrate practical persistence by computing, using multiple Liapunov functions, such estimates for a few basic examples of competition and predator-prey type which may include time delays in the net per capita growth rates.http://ejde.math.txstate.edu/conf-proc/01/c1/abstr.htmlUniform persistencepractical persistenceKolmogorov population modelsretarded functional differential equations. |
| spellingShingle | Yulin Cao Thomas C. Gard Practical persistence for differential delay models of population interactions Electronic Journal of Differential Equations Uniform persistence practical persistence Kolmogorov population models retarded functional differential equations. |
| title | Practical persistence for differential delay models of population interactions |
| title_full | Practical persistence for differential delay models of population interactions |
| title_fullStr | Practical persistence for differential delay models of population interactions |
| title_full_unstemmed | Practical persistence for differential delay models of population interactions |
| title_short | Practical persistence for differential delay models of population interactions |
| title_sort | practical persistence for differential delay models of population interactions |
| topic | Uniform persistence practical persistence Kolmogorov population models retarded functional differential equations. |
| url | http://ejde.math.txstate.edu/conf-proc/01/c1/abstr.html |
| work_keys_str_mv | AT yulincao practicalpersistencefordifferentialdelaymodelsofpopulationinteractions AT thomascgard practicalpersistencefordifferentialdelaymodelsofpopulationinteractions |