Interactions leading to persistence in predator-prey systems with group defence
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Publication:1121200
DOI10.1007/BF02458850zbMath0673.92011OpenAlexW4252373971MaRDI QIDQ1121200
Hongshun Quan, Herb I. Freedman
Publication date: 1988
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02458850
periodic orbitspredator-prey systemConditions for persistencegroup defencesystem of autonomous Kolmogorov-type differential equations
Related Items (18)
Persistence of a generalized Gause-type two prey - two predator pair linked by competition ⋮ Multiple cyclic sets connecting saddle points and limit cycles of a four- species system and its uniform persistence ⋮ DYNAMICS OF ANTI-PREDATOR BEHAVIOR AND EFFECT OF FEAR ON PREY–PREDATOR MODEL ⋮ A study of prey-predator relations for mammals ⋮ Mathematical study about a predator-prey model with anti-predator behavior ⋮ Predator-prey systems with a general non-monotonic functional response ⋮ Persistence in three-species food chain models with group defense ⋮ Complex behaviour in four species food-web model ⋮ Hopf bifurcation in three-species food chain models with group defense ⋮ Dynamical complexities in a predator-prey system involving teams of two prey and one predator ⋮ Alternative prey source coupled with prey recovery enhance stability between migratory prey and their predator in the presence of disease ⋮ On the dynamical behavior of three species food web model ⋮ Complex dynamical behaviors in a predator-prey system with generalized group defense and impulsive control strategy ⋮ Dynamical analysis and effects of law enforcement in a social interaction model ⋮ Switching effect of predation on global large size prey species exhibiting group defence ⋮ On a Food Web Consisting of a Specialist and a Generalist Predator ⋮ Qualitative analysis of additional food provided predator-prey system with anti-predator behaviour in prey ⋮ Switching Model with Two Habitats and a Predator Involving Group Defence
Cites Work
- Persistence in models of three interacting predator-prey populations
- Predator mediated coexistence with a switching predator
- Global stability and persistence of simple food chains
- Persistence in a model of three competitive populations
- Predator-prey systems with group defence: The paradox of enrichment revisited
- Uniformly Persistent Systems
- Bifurcation Analysis of a Predator-Prey System Involving Group Defence
- A predator-prey system involving group defense: a connection matrix approach
- Persistence in dynamical systems
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