A system of state-dependent delay differential equation modelling forest growth I: semiflow properties
Dynamical Systems
2017-05-25 v1
Abstract
In this article we investigate the semiflow properties of a class of state-dependent delay differential equations which is motivated by some models describing the dynamics of the number of adult trees in forests. We investigate the existence and uniqueness of a semiflow in the space of Lipschitz and weighted functions. We obtain a blow-up result when the time approaches the maximal time of existence. We conclude the paper with an application of a spatially structured forest model.
Cite
@article{arxiv.1705.08823,
title = {A system of state-dependent delay differential equation modelling forest growth I: semiflow properties},
author = {Pierre Magal and Zhengyang Zhang},
journal= {arXiv preprint arXiv:1705.08823},
year = {2017}
}