Dynamics of a Modified Predator-Prey System to allow for a Functional Response and Time Delay. Issue 4 (19th October 2016)

• Record Type: Journal Article
• Authors: Liu, Wei; Jiang, Yaolin
• Is Part Of: East Asian journal on applied mathematics. Volume 6:Issue 4(2016)
• Page Start: 384
• Page End: 399
• Publication Date: 2016-10-19
• Subjects: 92D25; Predator-prey system, -- harvesting, -- stability, -- time delay, -- periodic solutions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.4208/eajam.141214.050616a
• Languages: English
• ISSNs: 2079-7362

Abstract

Abstract: A modified predator-prey system described by two differential equations and an algebraic equation is discussed. Formulae for determining the direction of a Hopf bifurcation and the stability of the bifurcating periodic solutions are derived differential-algebraic system theory, bifurcation theory and centre manifold theory. Numerical simulations illustrate the results, which includes quite complex dynamical behaviour.