On the Dynamics of Predator–Prey Models with the Beddington–DeAngelis Functional Response☆

By Robert Stephen Cantrell, Chris Cosner. 2001

357 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/8ab8cd6883c42a80d7349b554ee3a19488e0041e

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Citations in the corpus

Permanence, extinction and periodic solution of predator–prey system with Beddington–DeAngelis functional response (2006, background): “1) becomes the system considered in [6], and the condition (2.”
Stochastic persistence and stationary distribution in a Holling–Tanner type prey–predator model (2012, background): “It also produce very rich and biologically reasonable dynamics [37].”
Intraspecific interference and consumer-resource dynamics (2004, background): “Ayala’s experiments led to large body of work, which continues to this day, on factors that serve to mediate the coexistence of multiple consumers upon a single resource (for an overview of some of these factors and a number of references, see Cantrell and Cosner [10]).”
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, background): “This results in the so-called Beddington–DeAngelis functional response (Cantrell & Cosner, 2001; Zhang et al., 2012) where v denotes the density of the predators and the parameter b (units: 1/predator) describes the magnitude of interference among predators.”
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response (2011, background): “[9–20] and references therein.”
Partial Differential Equations of an Epidemic Model with Spatial Diffusion (2014, methodology): “It is very important to note that this incidence rate becomes the bilinear incidence rate if α 1 = α 2 = α 3 = 0, the saturated incidence rate if α 1 = α 3 = 0 or α 2 = α 3 = 0, the Beddington-DeAngelis functional response introduced in [1, 2] and used in [3] when α 3 = 0, and CrowleyMartin function”
Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses (2013, background): “For the following definitions and theorem, one can see [8].”
Dynamical analysis of a prey–predator model with Beddington–DeAngelis type function response incorporating a prey refuge (2014, background): “In general, the notations and definitions to define the permanence of system are explored in [23,28,32].”
Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response (2004, background): “3) and the analogous systems with diffusion in a constant environment have received much attention in the literatures [10–12,15,25,26].”