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Persistence and global stability in a predator-prey model consisting of three prey genotypes with fertility differences

✍ Scribed by Joseph W.-H. So; H.I. Freedman

Publisher
Springer
Year
1986
Tongue
English
Weight
941 KB
Volume
48
Category
Article
ISSN
1522-9602

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✦ Synopsis

A model of a predator-prey interaction, where the prey population consists of three genotypes with random mating and continuous, nonlinear birth and death processes with fertiiity differences, is proposed. Sufficiency conditions giving the existence of a globa& stable equilib~um on one of the coordinate planes are given. This extends results of

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## Abstract In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the exi