THE ANALYSIS OF HOPF BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY

In this paper the influence of diffusion for stability of the prey-predator system with delay is studied. We analysed the conditions which raise the Hopf bifurcation. The problem is reduced by centralmanifold, and the approximation form of the stability periodic is obtained     

一类反应扩散方程组的初值问题解的渐近性质

本文利用基本解的估计式及其积分的某些渐近性质,得到了一类反应扩散方程组的初值问题在 t→∞时解的渐近性质。     

THE BIFURCATION ANALYSIS OF EXISTENCE AND TABILITY OF POSITIVE STEADY-STATE SOLUTION FOR A ONE-PREDATOR-TWO-PREY SYSTEM

This paper discusses the existence and stability of steady-states for a three-dimensional system ef parabolic partial differential equations subject to Dirichlet boundary conditions, i.e. the situation in which a predator feeds on twoprey species. Resultts are obtained by the use of spectral analysis and bifurcation theory.     

一类退化椭圆方程组的正解的存在性及其应用

本文研究了一类带Ｄｉｒｉｃｈｌｅｔ边值条件的退化椭圆方程组的正解的存在性，所用方法是构造性的，并将所得结果应用到一类生态方程的竞争模型。