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Dynamics of a Modified Predator-Prey System to allow for a Functional Response and Time Delay

  • Wei Liu (a1) (a2) and Yaolin Jiang (a1)

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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*Corresponding author. Email addresses: (W. Liu), (Y. Jiang)
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East Asian Journal on Applied Mathematics
  • ISSN: 2079-7362
  • EISSN: 2079-7370
  • URL: /core/journals/east-asian-journal-on-applied-mathematics
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