Persistence in three-species food chain models with group defense

DOI10.1016/0025-5564(91)90074-SzbMath0752.92027OpenAlexW2009297669WikidataQ44414076 ScholiaQ44414076MaRDI QIDQ1183933

Shigui Ruan, Herb I. Freedman

Publication date: 28 June 1992

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(91)90074-s

zbMATH Keywords

persistencegroup defensefood chain modelsGause-type modelsmutual interference of predatorsno mutual interferencePersistence criteriathree-species food web

Mathematics Subject Classification ID

Ecology (92D40)

Related Items (16)

Bifurcations in persistence theory ⋮ Impact of Predator Switching in the Disease Outbreak of an Eco-Epidemiological System ⋮ A study of prey-predator relations for mammals ⋮ Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect ⋮ DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY ⋮ Global stability of a predator-prey system with stage structure and mutual interference ⋮ Predator-prey systems with a general non-monotonic functional response ⋮ Hopf bifurcation in three-species food chain models with group defense ⋮ Predator - prey/host - parasite: a fragile ecoepidemic system under homogeneous infection incidence ⋮ Threshold control strategy for a non-smooth Filippov ecosystem with group defense ⋮ Period doubling cascades of prey-predator model with nonlinear harvesting and control of over exploitation through taxation ⋮ Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling ⋮ Switching effect of predation on global large size prey species exhibiting group defence ⋮ Unnamed Item ⋮ Hopf bifurcation in multiparty political systems with time delay in switching ⋮ Switching Model with Two Habitats and a Predator Involving Group Defence

Cites Work

• Unnamed Item
• Unnamed Item
• Persistence in models of three interacting predator-prey populations
• Modeling persistence and mutual interference among subpopulations of ecological communities
• Global stability and persistence of simple food chains
• Permanent coexistence in general models of three interacting species
• Three-species food-chain models with mutual interference and time delays
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Uniform persistence in multispecies population models
• Interactions leading to persistence in predator-prey systems with group defence
• Uniform persistence and chain recurrence
• Mathematical analysis of some three-species food-chain models
• Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
• Persistence Definitions and their Connections
• Uniformly Persistent Systems
• Bifurcation Analysis of a Predator-Prey System Involving Group Defence
• Uniformly Persistent Semidynamical Systems
• A predator-prey system involving group defense: a connection matrix approach
• Persistence in dynamical systems

This page was built for publication: Persistence in three-species food chain models with group defense