Dynamics of a three-species food chain model with adaptive traits

Chengjun Sun and Michel Loreau

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2812-2819

Abstract: A three-species food chain model is proposed with dynamically variable adaptive traits in the intermediate consumer. We prove that its solutions are non-negative and bounded, and we analyze the existence and stability of its equilibria. By applying Li and Muldowney’s [Li MY, Muldowney J. On Bendixson’s criterion. J Differ Equ 1993;106:27–39] high-dimensional Bendixson criterion, we show that the positive equilibrium is globally stable under specific conditions. We support our analytical findings with numerical simulations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2812-2819

DOI: 10.1016/j.chaos.2008.10.015

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