Predator-prey models with non-analytical functional response

Robert E. Kooij and André Zegeling

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 163-172

Abstract: In this paper we study the generalized Gause model, with a logistic growth rate for the prey in absence of the predator, a constant death rate for the predator and for several different classes of functional response, all non-analytical. First we consider the piecewise-linear functional response of Holling type I, which essentially has a linear functional response on a bounded interval and a constant functional response for large enough prey density. Next we consider differentiable modifications of this type of functional response, one being a concave down function, the other one being a sigmoidal function.

Keywords: Generalized Gause model; Functional response; Limit cycles (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:163-172

DOI: 10.1016/j.chaos.2019.03.036

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