Research For A Class Of Complicated Ecological Systems With Functional Response

Contrasting with some common ecological phenomena in ecology, the author constructed a series of complicated ecological models with functional response on the basis of the traditional Lotka-Volterra models, which makes the model accord with the reality further. And we mainly probed into the persistence, extinction, the existence of the positive periodic solution or the almost-periodic solution and the asymptotic behavior of the corresponding system in this thesis.In the preliminary knowledge in chapter one, we provide some basic definitions and fundamental theorems involved in this thesis, which support for several following chapters.To a concrete ecological environment, it is unavoidable to be interfered by some external factors, which leads to the frequent changes of systematic parameters, this may bring influence to permanence of the system . In view of the control theory, these interferences are often considered as certain controlled arguments, thus, in chapter three, we studied a non-autonomous P-P system with feedback control and Holling type-IV functional response, we derived sufficient conditions that the system can be still permanent; Correspondingly, when the system is...