title: Red queen dynamics in specific predator-prey systems.
abstract: The dynamics of a predator-prey system are studied, with a comparison of discrete and continuous strategy spaces. For a [Formula: see text] system, the average strategies used in the discrete and continuous case are shown to be the same. It is further shown that the inclusion of constant prey switching in the discrete case can have a stabilising effect and reduce the number of available predator types through extinction.
authors.affiliation: School of Mathematics and Statistics, University of New South Wales, Sydney, Australia, t.harris@student.unsw.edu.au.
authors.forename: Terence
authors.initials: T
authors.lastname: Harris
authors.forename: Anna Q
authors.initials: AQ
authors.lastname: Cai
mesh_terms: D000818:Animals; D005075:Biological Evolution; D005260:Female; D008297:Male; D055641:Mathematical Concepts; D008954:Models, Biological; D010641:Phenotype; D011157:Population Dynamics; D011235:Predatory Behavior