Optimal diffusion rate of species in flowing habitat

摘要: It is widely accepted that diffusive dispersal can permit persistence in an advective environment. This paper studies some sense the optimal diffusion rate of species a flowing habitat with hostile downstream boundary conditions. Firstly, we study dependence critical length on d. shown first decreases and then increases asymptotically tends to infinity. Then there unique $d_{0}$ for single evolve. Then, by using this observation, competition system two which are same but only different rates. We get open finite interval, neighborhood , such that, if one rates lies within interval other falls outside, exclusion occurs. If both lie intermediate always invade its near ends interval.