Yulin Cao & Thomas C. Gard
Abstract:
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.
Published November 12, 1998.
Mathematics Subject Classifications: 34K25, 92D25.
Key words and phrases: Uniform persistence, practical persistence,
Kolmogorov population models, retarded functional differential equations.
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Yulin Cao Department of Mathematics SUNY, College of Technology at Farmingdale Farmingdale, NY 11735, USA. | |
Thomas C. Gard Department of Mathematics The University of Georgia Athens, GA 30602, USA. e-mail: gard@math.uga.edu |
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