A sustainability condition for stochastic forest model

Tôn Viêt Ta; Linh Thi Hoai Nguyen; Atsushi Yagiz

doi:10.3934/cpaa.2017034

A sustainability condition for stochastic forest model

Tôn Viêt Ta
, Linh Thi Hoai Nguyen
, Atsushi Yagiz

Attached Promotive Center for International Education and Research of Agriculture

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonne-gative solutions. Second, we investigate asymptotic behavior of solutions by giving a sufficient condition for sustainability of the forest. Under this condi-tion, 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.

Original language	English
Pages (from-to)	699-718
Number of pages	20
Journal	Communications on Pure and Applied Analysis
Volume	16
Issue number	2
DOIs	https://doi.org/10.3934/cpaa.2017034
Publication status	Published - Mar 2017

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.3934/cpaa.2017034

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AB - A stochastic forest model of young and old age class trees is studied. First, we prove existence, uniqueness and boundedness of global nonne-gative solutions. Second, we investigate asymptotic behavior of solutions by giving a sufficient condition for sustainability of the forest. Under this condi-tion, 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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A sustainability condition for stochastic forest model

Abstract

All Science Journal Classification (ASJC) codes

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