Article ID Journal Published Year Pages File Type
9509339 Journal of Computational and Applied Mathematics 2005 17 Pages PDF
Abstract
Sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of the delay differential system with feedback controldxdt=-b(t)x(t)+F(t,x(t-τ1(t)),…,x(t-τn(t)),u(t-δ(t))),dudt=-η(t)u(t)+a(t)x(t-σ(t)).The method involves the application of Krasnoselskii's fixed point theorem and estimates of uniform upper and lower bounds of solutions. When these results are applied to some special delay population models with multiple delays, some new results are obtained and some known results are generalized.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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