Periodic solutions for a predator-prey model with Holling-type functional response and time delays

نویسندگان

  • Rui Xu
  • Mark A. J. Chaplain
  • Fordyce A. Davidson
چکیده

A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results. ! 2004 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 161  شماره 

صفحات  -

تاریخ انتشار 2005