| In this paper, we discuss the qualitative property for some types of functionaldifferential equations.This paper includes three main parts as follows. In Chapter2, by usingdifferential inequalityand Lyapunov function,we discuss the predator-prey model withModified Leslie-Gower Holling-typeII schemes. Sufficient conditions are obtainedwhich guarantee the uniform persistence and gl-obal attractivity of positive solutionfor the model. Then some criteria are established for the exist-ence, uniqueness andglobal attractivity of positive almost periodic solution of almost periodic sy-stem. InChapter3, by using differential inequality and Lyapunov function, we study thepredator-prey model with delay and Modified Leslie-Gower Holling-typeII schemes.Sufficient conditions are obtained which guarantee the uniform persistence and globalattractivity of positive solution f-or the model. Then some criteria are established forthe existence, uniqueness and global attractiv-ity of positive almost periodic solutionof almost periodic system. In Chapter4, by using a genera-lization of theLeggett-Williams fixed-point theorem due to Avery and Peterson, we discuss theb-oundary problem with delay and one-dimensional p-Laplacian. Sufficientconditions are obtained which guarantee the existence of at least three positivesolutions. |
