Positive solutions to a system of differential equations modeling a competitive interactive system with nonlogistic growth rates
type: Item
instance of: scholarly article
title: Positive solutions to a system of differential equations modeling a competitive interactive system with nonlogistic growth rates
zbMATH Open document ID: 0889.35029
author: R. Logan
published in: Differential and Integral Equations
publication date: 1998-05-17T00:00:00Z
review text: The existence of positive solutions to a system of differential equations which model a competitive system is studied. In this model each population has an increasing growth rate for positive populations which is contrary to the usual logistic growth. Models with these properties can exhibit the Allee effect, that is, if the population is not large enough it will tend to the zero steady state.
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1153440
zbMATH Keywords: competitive systems
zbMATH Keywords: steady state
zbMATH Keywords: fixed point index
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1153440