Separable solutions of an age-dependent population model with age dominance and their stability

Michel Langlais; Fabio A. Milner

doi:10.1016/0025-5564(94)90007-8

Separable solutions of an age-dependent population model with age dominance and their stability

Michel Langlais, Fabio A. Milner

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

4 Scopus citations

Abstract

Necessary and sufficient conditions are established for the existence of separable solutions of an age-structured model of population dynamics with age dominance. Their asymptotic behavior is studied, and, for certain forms of the demographic rates, the asymptotic stability of separable solutions is demonstrated.

Original language	English (US)
Pages (from-to)	115-125
Number of pages	11
Journal	Mathematical Biosciences
Volume	119
Issue number	1
DOIs	https://doi.org/10.1016/0025-5564(94)90007-8
State	Published - Jan 1994
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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10.1016/0025-5564(94)90007-8

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title = "Separable solutions of an age-dependent population model with age dominance and their stability",

abstract = "Necessary and sufficient conditions are established for the existence of separable solutions of an age-structured model of population dynamics with age dominance. Their asymptotic behavior is studied, and, for certain forms of the demographic rates, the asymptotic stability of separable solutions is demonstrated.",

author = "Michel Langlais and Milner, {Fabio A.}",

year = "1994",

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AU - Langlais, Michel

AU - Milner, Fabio A.

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N2 - Necessary and sufficient conditions are established for the existence of separable solutions of an age-structured model of population dynamics with age dominance. Their asymptotic behavior is studied, and, for certain forms of the demographic rates, the asymptotic stability of separable solutions is demonstrated.

AB - Necessary and sufficient conditions are established for the existence of separable solutions of an age-structured model of population dynamics with age dominance. Their asymptotic behavior is studied, and, for certain forms of the demographic rates, the asymptotic stability of separable solutions is demonstrated.

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Separable solutions of an age-dependent population model with age dominance and their stability

Abstract

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