Stability in Gilpin and Ayala's models of competition

1 January 1977

journal article
Published by Springer Nature in Journal of Mathematical Biology

Vol. 4 (3) , 275-279
https://doi.org/10.1007/bf00280977

Abstract

Simple and effective conditions for global stability in a class of models for m competing species are given. A numerical method is used to establish a large finite region of attraction for the feasible equilibrium in Gilpin and Ayala's model of two competing Drosophila populations.

Keywords

GLOBAL STABILITY
LARGE FINITE
COMPETING SPECIES
FINITE REGION
DROSOPHILA POPULATIONS
GILPIN AND AYALA'S
AYALA'S MODELS

This publication has 4 references indexed in Scilit:

Global Stability in Many-Species Systems
The American Naturalist, 1977
An Ideal Penalty Function for Constrained Optimization
IMA Journal of Applied Mathematics, 1975
Sufficient conditions for D-stability
Journal of Economic Theory, 1974
Global Models of Growth and Competition
Proceedings of the National Academy of Sciences, 1973