Global asymptotic stability criteria for models of density-dependent population growth

D. L. De Angelis

doi:10.1016/0022-5193(75)90022-3

Global asymptotic stability criteria for models of density-dependent population growth

D. L. De Angelis

Biology

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

6 Scopus citations

Abstract

A single-population, multiple-age-class model is formulated in which the fertility or mortality rates are dependent on the total biomass density of the population or a related function. The circle criterion is applied to determine conditions for which the model is globally asymptotically stable about an equilibrium age distribution.

Original language	English (US)
Pages (from-to)	35-43
Number of pages	9
Journal	Journal of theoretical biology
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/0022-5193(75)90022-3
State	Published - Mar 1975

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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10.1016/0022-5193(75)90022-3

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title = "Global asymptotic stability criteria for models of density-dependent population growth",

abstract = "A single-population, multiple-age-class model is formulated in which the fertility or mortality rates are dependent on the total biomass density of the population or a related function. The circle criterion is applied to determine conditions for which the model is globally asymptotically stable about an equilibrium age distribution.",

author = "{De Angelis}, {D. L.}",

year = "1975",

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Global asymptotic stability criteria for models of density-dependent population growth

Abstract

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