A SUSTAINABILITY CONDITION FOR STOCHASTIC FOREST MODEL

作者：Ta Ton Viet^*; Linh Thi Hoai Nguyen; Yagi Atsushi

来源：Communications on Pure and Applied Analysis, 2017, 16(2): 699-718.

DOI：10.3934/cpaa.2017034

• Forest model
• sustainability
• stochastic differential equations
• Markov process

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.

• 出版日期2017-3