Abstract. We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our result extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino.
The aim of this paper is to give sufficient conditions for global attractivity of the zero solution of the nonlinear delay differential equation x'(t) = -p(t)f(x(t -7)).An example which guarantees that our $ stability condition is the best possible is d S 0 given. 0 1999 Academic Press
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