Persistence and extinction in a predator-prey model consisting of nine prey genotypes

1 January 1990

journal article
research article
Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Vol. 31 (3) , 347-365
https://doi.org/10.1017/s033427000000669x

Abstract

A predator-prey model in which the prey population is subdivided into nine genotypes corresponding to a two-locus, two-allele problem is considered. Sufficient conditions are given which lead to extinction of all the prey allele types except one, as well as conditions which guarantee the persistence of all the allele types.

Keywords

MODEL
EXTINCTION
PERSISTENCE
LOCUS
CORRESPONDING
SUFFICIENT
SUBDIVIDED
PREDATOR PREY

This publication has 1 reference indexed in Scilit:

Uniformly Persistent Systems
Proceedings of the American Mathematical Society, 1986