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Population dynamics with age-dependent diffusion and death rates

Published online by Cambridge University Press:  21 February 2013

M. AL-JARARHA  and
CHUNHUA OU
M. AL-JARARHA
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada, A1C 5S7 email: mmaj84@mun.ca
CHUNHUA OU
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada, A1C 5S7 email: ou@mun.ca
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Abstract

In this paper we investigate the population dynamics of a species with age structure in the case where the diffusion and death rates of the matured population are both age-dependent. We develop a new application of the age-structure technique in terms of an integral equation. For unbounded spatial domains, we study the existence of travelling waves, whilst in bounded domains, we investigate the existence of positive steady-state solutions and their stability.

Keywords

Steady-state solutionTravelling wave solutionAge-structured modelBirth function34K1035B3535K5592D25
Type
Papers
Information
European Journal of Applied Mathematics , Volume 24 , Issue 4 , August 2013 , pp. 471 - 500
Copyright
Copyright © Cambridge University Press 2013 

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