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

Access to Document

10.1016/0022-5193(75)90022-3

Fingerprint Dive into the research topics of 'Global asymptotic stability criteria for models of density-dependent population growth'. Together they form a unique fingerprint.

Cite this

@article{218563ae954446c18942ef44db8ad2a3,

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",

month = mar,

doi = "10.1016/0022-5193(75)90022-3",

language = "English (US)",

volume = "50",

pages = "35--43",

journal = "Journal of Theoretical Biology",

issn = "0022-5193",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Global asymptotic stability criteria for models of density-dependent population growth

AU - De Angelis, D. L.

PY - 1975/3

Y1 - 1975/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0016702292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016702292&partnerID=8YFLogxK

U2 - 10.1016/0022-5193(75)90022-3

DO - 10.1016/0022-5193(75)90022-3

M3 - Article

C2 - 1127962

AN - SCOPUS:0016702292

VL - 50

SP - 35

EP - 43

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 1

ER -