Positive Periodic Solutions To A Kind Of Delay Functional Differential Equations With Impulse Effects

This paper discusses mainly the existence of positive solution to periodic prob-lems for first impulsive functional differential equations and applies to biological system. It obtains a new existence theory for single and multiple positive periodic solutions to a kind of delay functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria is established. It extends some previous results and reports some new results about impulsive functional differential equations. The paper contains three chapters. Chapter 1, at the beginning of this paper, we mainly introduce the background. Chapter 2, we obtained the main results of the existence of positive periodic solutions to the problem for first impulsive functional differential equations with delay. Chapter 3, as application, impulsive differential equations is applied to some mathematics biological systems, for exampels, the Hematopoiesis model,more general the model of blood cell production, the more general Nicholson's blowflies model and so on.