On a system of reaction-diffusion equations describing a population with two age groups

K. J. Brown; Yanping Zhang

doi:10.1016/S0022-247X(02)00374-8

On a system of reaction-diffusion equations describing a population with two age groups

K. J. Brown
, Yanping Zhang

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

A system of reaction-diffusion equations modelling a population divided into juvenile and adult age groups is studied. The system is not co-operative but its linear part is and this makes it possible to establish existence, non-existence and stability results for non-negative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system. © 2003 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	444-452
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	282
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(02)00374-8
Publication status	Published - 15 Jun 2003

Keywords

Co-operative systems
Reaction-diffusion equation

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10.1016/S0022-247X(02)00374-8

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abstract = "A system of reaction-diffusion equations modelling a population divided into juvenile and adult age groups is studied. The system is not co-operative but its linear part is and this makes it possible to establish existence, non-existence and stability results for non-negative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system. {\textcopyright} 2003 Elsevier Inc. All rights reserved.",

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AU - Zhang, Yanping

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N2 - A system of reaction-diffusion equations modelling a population divided into juvenile and adult age groups is studied. The system is not co-operative but its linear part is and this makes it possible to establish existence, non-existence and stability results for non-negative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system. © 2003 Elsevier Inc. All rights reserved.

AB - A system of reaction-diffusion equations modelling a population divided into juvenile and adult age groups is studied. The system is not co-operative but its linear part is and this makes it possible to establish existence, non-existence and stability results for non-negative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system. © 2003 Elsevier Inc. All rights reserved.

KW - Co-operative systems

KW - Reaction-diffusion equation

UR - https://www.scopus.com/pages/publications/0038455870

U2 - 10.1016/S0022-247X(02)00374-8

DO - 10.1016/S0022-247X(02)00374-8

M3 - Article

SN - 1096-0813

VL - 282

SP - 444

EP - 452

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On a system of reaction-diffusion equations describing a population with two age groups

Abstract

Keywords

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