A system of state-dependent delay differential equation modeling forest growth I: semiflow properties
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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 \(C^1\) 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.
KeywordsState-dependent delay differential equations Forest population dynamics Semiflow Time of blow-up
Mathematics Subject Classification34K05 37L99 37N25
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