Global analysis of the predator–prey system with Beddington–DeAngelis functional response

By Tzy-Wei Hwang. 2003

186 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/cd5ee1d9e765ccb5a24635fe5fcbde5d822e7481

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In Applied Mathematics

In Modeling and Simulation

In Public Health, Environmental and Occupational Health

Citations in the corpus

Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response (2011, background): “[9–20] and references therein.”
Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses (2013, background): “All these studies depend on the classical types of functional responses, such as Holling types [12, 13, 24, 33, 36], ratio-dependent type [2, 3, 7, 10, 11, 19, 26, 28, 42], Beddington-DeAngelis type [8, 10, 18, 22, 23], Hassell-Varley type [20, 41], Ivlev type [27, 34], Watt type [39, 40] and so on.”
Permanence, extinction and periodic solution of predator–prey system with Beddington–DeAngelis functional response (2006, unknown): “Some works have been done with both autonomous predator–prey model with Beddington– DeAngelis functional response (see [1,3,6,7,13,17]), and some predator–prey models of periodic nature (see [2,5,8,10–12,14–16,18–21,24,25]).”
Intraspecific interference and consumer-resource dynamics (2004, background): “The global stability of Ẽ and the uniqueness of a limit cycle were recently investigated by Hwang [26, 27].”
Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response (2004, background): “4) posses a limit cycle if the positive equilibrium is unstable while there is no limit cycle when the positive equilibrium is locally asymptotically stable since the locally asymptotic stability is equivalent to the globally asymptotic stability as shown by Hwang [25].”
Stability and bifurcation in a delayed predator–prey system with Beddington–DeAngelis functional response (2004, unknown): “[5] and Hwang [14] considered the following predator–prey system out delay   x ′(t) = x(t)(1− x(t)) − sx(t)y(t) x(t)+By(t)+A, y ′(t) = δy(t)[−d + x(t) x(t)+By(t)+A ] , x(0) = x0 > 0, y(0) = y0 > 0.”
Dynamics of the density dependent predator–prey system with Beddington–DeAngelis functional response (2011, background): “In the last years, some experts have studied the system [3,4,6,8,9,11,14,16].”
Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses (2007, methodology): “Many excellent works have been done for the Lotka-Volterra type predator-prey system, for example, see [1–12].”