Mathematical modeling of cyclic population dynamics

DOI10.1016/j.physd.2019.01.010zbMath1451.92249OpenAlexW2913711571MaRDI QIDQ2217914

Vladimir A. Volpert, Alvin Bayliss, Alexander A. Nepomnyashchy

Publication date: 12 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.01.010

zbMATH Keywords

nonlocalitypopulation dynamicsdelay equationsheteroclinic cycletraveling wavecyclic ecosystems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Traveling wave solutions (35C07) Heteroclinic and homoclinic orbits of functional-differential equations (34K16)

Related Items (4)

Order and Disorder in a Cyclically Competitive Ecological Community ⋮ Beyond rock-paper-scissors systems -- deterministic models of cyclic ecological systems with more than three species ⋮ Competing alliances in a four-species cyclic ecosystem ⋮ Cyclic ecological systems with an exceptional species

Cites Work

• The mathematics behind biological invasions
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• On the Asymmetric May--Leonard Model of Three Competing Species
• HETEROCLINIC CONTOURS IN NEURAL ENSEMBLES AND THE WINNERLESS COMPETITION PRINCIPLE
• Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems

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