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arXiv · 1509.00527

A sustainability condition for stochastic forest model

Ton Viet Ta·Linh Thi Hoai Nguyen·Atsushi Yagi
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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.

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Ton Viet Ta, Linh Thi Hoai Nguyen, Atsushi Yagi. 2016-11-13. A sustainability condition for stochastic forest model. https://arxiv.org/abs/1509.00527

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