A sustainability condition for stochastic forest model
Probability
2016-11-15 v2
Abstract
A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonnegative solutions. Second, we investigate asymptotic behavior of solutions by giving a sufficient condition for sustainability of the forest. Under this condition, we show existence of a Borel invariant measure. Third, we present several sufficient conditions for decline of the forest. Finally, we give some numerical examples.
Keywords
Cite
@article{arxiv.1509.00527,
title = {A sustainability condition for stochastic forest model},
author = {Ton Viet Ta and Linh Thi Hoai Nguyen and Atsushi Yagi},
journal= {arXiv preprint arXiv:1509.00527},
year = {2016}
}
Comments
to appear in Communications on Pure and Applied Analysis