Abstract
We are concerned with a forest kinetic model with memory. In 1994 Kuznetsov et al. [6] has presented a mathematical model describing the kinetics of forest given by a system of ordinary and diffusion equations. This paper handles a generalized model of them which includes a memory effect in the process of establishment of seeds in the air. We shall prove the global existence and shall construct a dynamical system determined from the generalized model. It is also shown that the dynamical system possesses a bounded absorbing set. These results are then generalization of those obtained in [1, 8] for the case of no memory.
