Global Attractivity And Permanence Of Delay Differential Equations Model Of Plankton Allelopathy

With the development of modern society, the research of the qualitative properties of ordinary differential equations has been prosperous. It is of great necessity and importance to make a further study. In recent years, with more and more scholars devoted in this aspect, many representative academic achievements have been achieved. This paper depends on the existent theories and expands them on some typical ecological models.This article studies global attractivity and permanence of a delay differential equations model of plankton allelopathy, especially discusses globally attractive and permanence when two populations of plankton mutual inhibition. This article divides into four chapters.Chapter 1 is introduction, which contains the background and significance of literature.Chapter 2 considers the following delay differential equations model of plankton al-lelopathy Using an iterative method, the global attractivity of unique positive equilibrium of the above system is obtained. Our results have generalized and improved the corresponding results in the existing papers.Chapter 3 considers the following delay differential equations model of plankton al-lelopathy Using some qualitative research methods of differential equation, the persistence of the above system is obtained. Our results have generalized the corresponding results in the existing papers.