Diversity in interaction strength promotes rich dynamical behaviours in a three-species ecological system

DOI10.1016/j.amc.2019.02.007zbMath1428.34053OpenAlexW2916278032WikidataQ114747762 ScholiaQ114747762MaRDI QIDQ2010743

Mohd Hafiz Mohd

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.007

zbMATH Keywords

limit cyclebifurcation analysiscompetition modelalternative stable statesstable steady state

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

• Collective behavior and evolutionary games -- an introduction
• A 3-species competition model for bio-control
• Hopf-transcritical bifurcation in retarded functional differential equations
• Elements of applied bifurcation theory.
• Effects of biotic interactions and dispersal on the presence-absence of multiple species
• Traveling waves for \(n\)-species competitive system with nonlocal dispersals and delays
• The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities
• Effects of different dispersal patterns on the presence-absence of multiple species
• Evidence of chaos in eco-epidemic models
• Periodic and Steady-State Mode Interactions Lead to Tori
• Nonlinear Aspects of Competition Between Three Species
• COMPUTATION AND VISUALIZATION OF BIFURCATION SURFACES
• Dynamical Systems with a Codimension-One Invariant Manifold: The Unfoldings and Its Bifurcations

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