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DOI QR Code

CONVERGENCE PROPERTIES OF PREDATOR-PREY SYSTEMS WITH FUNCTIONAL RESPONSE

  • Received : 2008.04.01
  • Accepted : 2008.08.26
  • Published : 2008.09.25

Abstract

In the field of population dynamics and chemical reaction the possibility or the existence of spatially and temporally nonhomogeneous solutions is a very important problem. For last 50 years or so there have been many results on the pattern formation of chemical reaction systems studying reaction systems with or without diffusions to explain instabilities and nonhomogeneous states arising in biological situations. In this paper we study time-dependent properties of a predator-prey system with functional response and give sufficient conditions that guarantee the existence of stable limit cycles.

Keywords

prey-predator system;functional response;diffusion;convergence property;existence of positive constant steady-state;existence of stable limit cycle

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