Periodicity in a logistic type system with several delays
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of the following several delays logistic type system: [GRAPHICS] where a(t), b(j) (t) are positive periodic continuous functions with periodic omega > 0, pi(j) (t) are nonnegative continuous periodic functions with periodic omega > 0. After that, by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the stability of the positive periodic solutions are obtained. (C) 2004 Elsevier Ltd. All rights reserved.
logistic type system coincidence degree periodic solutions delay equation