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Pauses of larval development and its consequences for stage-structured populations

Brunner, H, Gourley, Stephen, Liu, R and Xiao, Y (2017) Pauses of larval development and its consequences for stage-structured populations SIAM Journal on Applied Mathematics.

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Abstract

This paper considers some novel predictions of a mathematical model for a stagestructured insect species that undergoes diapause if faced with strong intra-specific competition among larvae. The model consists of a system of two delay differential equations with a state-dependent time delay of threshold type. When the model has an Allee effect, we show that diapause may cause extinction in some parameter regimes even where the initial population is high. We also demonstrate that the model can have diapause-induced periodic solutions that can arise even if the birth function is strictly increasing, a situation in which solutions for the constant delay case always converge to an equilibrium.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Brunner, HUNSPECIFIEDUNSPECIFIED
Gourley, StephenS.Gourley@surrey.ac.ukUNSPECIFIED
Liu, RUNSPECIFIEDUNSPECIFIED
Xiao, YUNSPECIFIEDUNSPECIFIED
Date : 9 August 2017
Copyright Disclaimer : © 2017, Society for Industrial and Applied Mathematics
Uncontrolled Keywords : delay; threshold condition; size-structure; diapause; Allee effect
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 09 Feb 2017 14:39
Last Modified : 19 Jul 2017 09:54
URI: http://epubs.surrey.ac.uk/id/eprint/813501

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