抄録
We continue the study of a mathematical model for the forest ecosystem
which has been presented by Kuzunetsov et al. [5] and which is equipped with the
Dirichlet boundary conditions. In the preceding two papers [7, 8], we constructed a
dynamical system and investigated asymptotic behavior of trajectories of the dynamical
system. This paper is then devoted to studying the stationary problem. Stability
and instability of the zero stationary solution is investigated. When the mortality of
trees is suitably small, it is shown by the numerical methods that the system possesses
a unique inhomogeneous solution which has a clear gap which indi,cates discontinuity
of the density of trees.