In this paper, we deal with the model with a very general growth law and an M-driven diffusion, For the general case of time dependent functions M and μ, the existence and uniqueness for positive solution is obtained. If M and μ are T 0-periodic functions in t, then there is an attractive positive periodic solution. Furthermore, if M and μ are time-independent, then the non-constant stationary solution M(x) is globally stable. Thus, we can easily formulate the conditions deriving the above behaviors for specific population models with the lo...
