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ON THE WELL-POSEDNESS OF A NONLINEAR HIERARCHICAL SIZE-STRUCTURED POPULATION MODEL

Part of: Dynamical problems

Published online by Cambridge University Press:  06 March 2017

YAN LIU Open the ORCID record for YAN LIU [Opens in a new window]  and
ZE-RONG HE
YAN LIU*
Affiliation:
Department of Mathematics, China JiLiang University, China email [email protected]
ZE-RONG HE
Affiliation:
Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, China email [email protected]
*
✉[email protected]
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Abstract

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We analyse a nonlinear hierarchical size-structured population model with time-dependent individual vital rates. The existence and uniqueness of nonnegative solutions to the model are shown via a comparison principle. Our investigation extends some results in the literature.

Keywords

well-posednesshierarchicalsize-structuredcomparison principle

MSC classification

Primary: 92D25: Population dynamics (general)
Secondary: 74H20: Existence of solutions 74H25: Uniqueness of solutions
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 482 - 490
Copyright
© 2017 Australian Mathematical Society 

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