Obligate mutualism with a predator: Stability and persistence of three- species models

DOI10.1016/0040-5809(87)90045-1zbMath0638.92020OpenAlexW2051137989WikidataQ111266084 ScholiaQ111266084MaRDI QIDQ1100138

Bindhyachal Rai, John F. Addicott, Herb I. Freedman

Publication date: 1987

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(87)90045-1

zbMATH Keywords

stabilitypredator-prey systemconditions for persistenceefficiency of utilization of the preyfood supplymutualist speciesobligate mutualismprey growth raterate of prey capturesystem of three ordinary differential equationsthree interacting populationsthree species interaction

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (13)

Prey-predator dynamics with adaptive protection mutualism ⋮ Persistence, attractivity, and delay in facultative mutualism ⋮ A Michaelis–Menten Predator–Prey Model with Strong Allee Effect and Disease in Prey Incorporating Prey Refuge ⋮ Predator mutualists in patchy space with diffusion ⋮ A mathematical model of facultative mutualism with populations interacting in a food chain ⋮ A model of predator-prey dynamics as modified by the action of a parasite ⋮ Unnamed Item ⋮ Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge ⋮ Mutualism: the most desirable interaction for permanence of multispecies ecological communities ⋮ Impacts of incubation delay on the dynamics of an eco-epidemiological system -- a theoretical study ⋮ Sustainable development: mathematical approach and simulation studies ⋮ Stability and persistence of facultative mutualism with populations interacting in a food chain ⋮ A prey–predator system with disease in prey and cooperative hunting strategy in predator

Cites Work

• Analysis of three species models of mutualism in predator-prey and competitive systems
• Persistence in models of three interacting predator-prey populations
• On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow- growing mutualist
• Persistence in a model of three competitive populations
• The dynamics of two interacting populations
• Uniformly Persistent Systems
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• Unnamed Item

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