Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 384–399
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.141214.050616a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 4 : pp. 384–399
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Predator-prey system harvesting stability time delay periodic solutions.
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