Dynamical Behavior Of Species Under Different Boundary Conditions In Advective Environment

The fundamental problem of population dynamics is to seek survival conditions and the judgment standard of long-term coexistence between competitive species. In this pa-per, we mainly study the single species model and the two competitive species model with NF/FF and NF/H boundary condition. As an introduction, in the first chapter we intro-duce the background and many results we have got in recent years, and we also introduce the main work and results of this paper. In the second chapter, we mainly proves the monotonicity of reaction diffusion model and some definitions and theorems we will use in the following chapters. In the third chapter, we consider the terms of the survival of a single species, water flow rate q and the diffusion rate d effect on the steady-state solution. In the fourth chapter, for the competitive model, we assume that two species are identi-cal except their diffusion rates. We mainly obtain that population with higher dispersal rate will always displace those with lower dispersal rate under NF/FF boundary condition; there is a critical diffusion rate denoted as do, two competitive populations which are in the same environment, whose dispersal rate closer to d0 can be survive easier under NF/H boundary condition.