Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 41-53

Title: Practical persistence for differential
delay models of population interactions

Authors: Yulin Cao (SUNY, College of Technology, NY 11735, USA)
    Thomas C. Gard (Univ. of Georgia, Athens, GA, USA.)  
 
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.
Math Subject Classifications: 34K25, 92D25
Key Words: Uniform persistence; practical persistence; Kolmogorov population models; retarded functional differential equations.