Asymptotic Behavior Of Solutions For Non-autonomous Predator-prey System

In this thesis,the persistence of solutions for a class of non-autonomous predator-prey systems with diffusion and functional responses is studied firstly,the non-degenerate of solutions is obtained through the upper and lower solution method.Second-ly,the asymptotic behavior,including the forward and pullback behavior for a class of non-autonomous predator-prey systems with diffusion and staged structures are studied,the esti-mates for solutions and the existence of pullback attractors are obtained by the upper and lower solution method,the spectral theory for linear elliptic equations and the theory of attractors for non-autonomous differential equations...