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A SUSTAINABILITY CONDITION FOR STOCHASTIC FOREST MODEL.
- Source :
- Communications on Pure & Applied Analysis; Mar2017, Vol. 16 Issue 2, p699-718, 20p
- Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15340392
- Volume :
- 16
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications on Pure & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 120897383
- Full Text :
- https://doi.org/10.3934/cpaa.2017034