Dynamics Analysis For Predator-prey Model With B-D Functional Response And Diffusion

Reaction difusion equation which can be used in the field of physics, biology, chemistry have profoundpractical background. In this thesis, we study the dynamics analysis of the prey-predator model with B-Dfunctional response and difusion.The text is divided into six sections. Section one, is the introduction, which is introduce the back-ground of the problem. In the second section, we study the large time behavior of time-dependent solutionsfor (1.3). Section three, we can get the bounds for positive steady state of system of (1.3). Section four, wecan obtain the stability of positive constant solution by construction Lyapunov function. Section five, thenon-existence results of non-trivial solution are derived. Section six, we study the existence of non-trivialsolution.