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Paper   IPM / M / 462
School of Mathematics
  Title:   Nonexistence of limit cycles in a predator-prey system with a sigmoid functional response
  Author(s): 
1.  M. Hesaaraki
2.  S. M. Moghadas
  Status:   Published
  Journal: Canad. Appl. Math. Quart.
  No.:  4
  Vol.:  7
  Year:  1999
  Pages:   401-408
  Supported by:  IPM
  Abstract:
In this paper we consider a predator-prey system with a sigmoid functional response of the form φ(x) = xn/ (a+xn), n > 1. Following Sugie et al. results in [8] and [9], by taking advantage of Freedman and So's theorem in [3], we present a sufficient and necessary condition for the nonexistence of limit cycles of this system with n > 1.

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