A system of state-dependent delay differential equation modelling forest growth I: semiflow properties

2017/05/24 by Pierre Magal, Zhengyang Zhang, Magal, Pierre +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1705.08823

openalex publication_date 2017/05/24 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28

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.

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