Cyclic Ecological Systems with an Exceptional Species

Thomas I. Stiadle, Alvin Bayliss and Vladimir A. Volpert

Applied Mathematics and Computation, 2023, vol. 443, issue C

Abstract: We consider cyclic ecological systems consisting of N species ui, i=1,…,N, where N=3 and N=4. We employ a model in which species ui competes only with members of its own species (intraspecies competition), with a strength normalized to unity, and with species ui+1, where i+1 is taken to mean (imodN)+1 (interspecies competition). The strength of the competition is quantified by an interaction coefficient αi>0.

Keywords: population dynamics; cyclic ecosystems; exceptional species; traveling waves; alliance states (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008074

DOI: 10.1016/j.amc.2022.127739

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