Certain Studies On Ecological Mathematical Model

The paper mainly discusses the stability, positive periodic solution and the existence of positive solution of ecological model with the application of differential equation. Recently, the studies of ecological model have attracted great concern and many good results have been acquired. This paper has further extended these conclusions on the foundations of them and obtained some new results with the method of Hulwize Theorem, Schauder Fixpoint Theorem and Tapered Fixpoint Theorem.This paper consists of three parts. The first chapter discusses the showness of geometric figure and equilibrium's asymptotically stable of mathematical model of predator-prey. The second chapter discusses the existence of positive periodic solution to infinite delay Lotka-volterre model. The last chapter talks about the positive solution's existence of periodic boundary value problem of functional differential equation.