A system of state-dependent delay differential equation modeling forest growth I: semiflow properties View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-12

AUTHORS

Pierre Magal, Zhengyang Zhang

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 C1 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. More... »

PAGES

1-36

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00028-018-0464-0

DOI

http://dx.doi.org/10.1007/s00028-018-0464-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105681241


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