Periodic McKendrick equations for age-structered population growth

J. M. Cushing

doi:10.1016/0898-1221(86)90177-X

Periodic McKendrick equations for age-structered population growth

J. M. Cushing

Mathematics

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

10 Scopus citations

Abstract

With the averaged net reproductive rate used as a bifurcation parameter, the existence of a local parameterized branch of time-periodic solutions of the McKendrick equations is proved under the assumption that the death and fertility rates suffers small-amplitude time periodicities. The required linear theory is developed and the results are illustrated by means of a simple example in which fertility varies cosinusoidally in time.

Original language	English (US)
Pages (from-to)	513-526
Number of pages	14
Journal	Computers and Mathematics with Applications
Volume	12
Issue number	4-5 PART A
DOIs	https://doi.org/10.1016/0898-1221(86)90177-X
State	Published - 1986

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0898-1221(86)90177-X

Cite this

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title = "Periodic McKendrick equations for age-structered population growth",

abstract = "With the averaged net reproductive rate used as a bifurcation parameter, the existence of a local parameterized branch of time-periodic solutions of the McKendrick equations is proved under the assumption that the death and fertility rates suffers small-amplitude time periodicities. The required linear theory is developed and the results are illustrated by means of a simple example in which fertility varies cosinusoidally in time.",

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N2 - With the averaged net reproductive rate used as a bifurcation parameter, the existence of a local parameterized branch of time-periodic solutions of the McKendrick equations is proved under the assumption that the death and fertility rates suffers small-amplitude time periodicities. The required linear theory is developed and the results are illustrated by means of a simple example in which fertility varies cosinusoidally in time.

AB - With the averaged net reproductive rate used as a bifurcation parameter, the existence of a local parameterized branch of time-periodic solutions of the McKendrick equations is proved under the assumption that the death and fertility rates suffers small-amplitude time periodicities. The required linear theory is developed and the results are illustrated by means of a simple example in which fertility varies cosinusoidally in time.

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U2 - 10.1016/0898-1221(86)90177-X

DO - 10.1016/0898-1221(86)90177-X

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AN - SCOPUS:38249042900

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JO - Computers and Mathematics with Applications

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IS - 4-5 PART A

ER -

Periodic McKendrick equations for age-structered population growth

Abstract

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