Global dynamics of three species omnivory models with Lotka-Volterra interaction

DOI10.3934/dcdsb.2016077zbMath1351.37278OpenAlexW2524956713MaRDI QIDQ325802

Kaijen Cheng, Ting-Hui Yang, Wei Nian Zhang

Publication date: 11 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016077

zbMATH Keywords

ecosystemfood web modelLotka-Volterra interactionomnivory modelsthree species

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

• Dynamics of a intraguild predation model with generalist or specialist predator
• Persistence in models of three interacting predator-prey populations
• Persistence and global stability of positive periodic solutions of three species food chains with omnivory
• The Volterra model for three species predator-prey systems: Boundedness and stability
• Uniform persistence and flows near a closed positively invariant set
• Omnivory and the stability of food webs
• Analysis of three species Lotka-Volterra food web models with omnivory
• Uniformly Persistent Systems