Asymptotic Behavior of an Age-Structured Population Model and Optimal Maturation Age

A. Calsina; O. El Idrissi

doi:https://doi.org/10.1006/jmaa.1999.6350

Asymptotic Behavior of an Age-Structured Population Model and Optimal Maturation Age

A. Calsina, O. El Idrissi

Department of Mathematics

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

3 Citations (Scopus)

Abstract

A continuous age-structured population model with two population groups, juveniles and adults, and with a dynamics for the resource, is considered. The only density dependence is through a uniform increase of the death rates. A complete description of the asymptotic behavior of the population dynamics system is obtained showing under natural hypotheses the existence of a nontrivial ("ecological") equilibrium which attracts any initial nonzero population with nonzero initial amount of resources. Assuming that the offspring production rate is an increasing function of the maturation age, the evolutionarily stable value of this variable is briefly discussed. © 1999 Academic Press.

Original language	English
Pages (from-to)	808-826
Journal	Journal of Mathematical Analysis and Applications
Volume	233
DOIs	https://doi.org/10.1006/jmaa.1999.6350
Publication status	Published - 15 May 1999

Keywords

Age-structured population dynamics; asymptotic behavior; evolutionarily stable strategies

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AU - Calsina, A.

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N2 - A continuous age-structured population model with two population groups, juveniles and adults, and with a dynamics for the resource, is considered. The only density dependence is through a uniform increase of the death rates. A complete description of the asymptotic behavior of the population dynamics system is obtained showing under natural hypotheses the existence of a nontrivial ("ecological") equilibrium which attracts any initial nonzero population with nonzero initial amount of resources. Assuming that the offspring production rate is an increasing function of the maturation age, the evolutionarily stable value of this variable is briefly discussed. © 1999 Academic Press.

AB - A continuous age-structured population model with two population groups, juveniles and adults, and with a dynamics for the resource, is considered. The only density dependence is through a uniform increase of the death rates. A complete description of the asymptotic behavior of the population dynamics system is obtained showing under natural hypotheses the existence of a nontrivial ("ecological") equilibrium which attracts any initial nonzero population with nonzero initial amount of resources. Assuming that the offspring production rate is an increasing function of the maturation age, the evolutionarily stable value of this variable is briefly discussed. © 1999 Academic Press.

KW - Age-structured population dynamics; asymptotic behavior; evolutionarily stable strategies

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DO - https://doi.org/10.1006/jmaa.1999.6350

M3 - Article

VL - 233

SP - 808

EP - 826

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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