A mathematical model for forest growth dynamics

•We formulate a mathematical model for forest growth.•We consider an infinite domain.•We prove existence and well-posedness.•We study in detail the stationary solutions.•We perform numerical simulations.

In this paper we consider a one dimensional mathematical model for a mono-species forest growth in an infinite domain. Following [15] we assume that the system can be described by the evolution of the young and old tree density and by the seed concentration. The mathematical formulation consists in a system of ODE's which we study analytically proving global existence and uniqueness. We discuss in some detail the stationary solutions and we perform some numerical simulations to illustrate the behavior of the solution.