Global dynamics of a mutualism-competition model with one resource and multiple consumers

DOI10.1007/s00285-018-1288-9zbMath1410.34142OpenAlexW2889578809WikidataQ62580256 ScholiaQ62580256MaRDI QIDQ1731931

Hong Wu, Yuanshi Wang, Donald L. De Angelis

Publication date: 15 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1288-9

zbMATH Keywords

bifurcationglobal stabilitycooperationcoexistenceprinciple of competitive exclusion

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Monotone systems involving ordinary differential equations (34C12)

Related Items (11)

Interactions among interactions: the dynamical consequences of antagonism between mutualists ⋮ Persistence and oscillations of plant-pollinator-herbivore systems ⋮ Pollination-mutualisms in a two-patch system with dispersal ⋮ Global dynamics of Lotka-Volterra equations characterizing multiple predators competing for one prey ⋮ Global dynamics of parasitism-competition systems with one host and multiple parasites ⋮ Three-prey one-predator continuous time nonlinear system model ⋮ Bifurcations in a pollination-mutualism system with nectarless flowers ⋮ Periodic oscillation and tri-stability in mutualism systems with two consumers ⋮ Persistence of pollination mutualisms under pesticides ⋮ Asymmetric diffusion in a two-patch consumer-resource system ⋮ Asymmetric diffusion in a two-patch mutualism system characterizing exchange of resource for resource

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• Global dynamics of microbial competition for two resources with internal storage
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• Global Dynamics of a Lotka--Volterra Model with Two Predators Competing for One Prey

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