Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 41-53.

Practical persistence for differential delay models of population interactions

Yulin Cao & Thomas C. Gard

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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