Periodic solutions of some ecological models

Fred Brauer

doi:10.1016/0022-5193(77)90392-7

Periodic solutions of some ecological models

Fred Brauer

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

8 Scopus citations

Abstract

A result is given on the existence of an asymptotically stable periodic solution of a class of systems of periodic ordinary differential equations. The result is applied to a lake eutrophication model with seasonal effects, and some suggestions are made for the solution of such models.

Original language	English (US)
Pages (from-to)	143-152
Number of pages	10
Journal	Journal of Theoretical Biology
Volume	69
Issue number	1
DOIs	https://doi.org/10.1016/0022-5193(77)90392-7
State	Published - Nov 7 1977
Externally published	Yes

ASJC Scopus subject areas

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

Access to Document

10.1016/0022-5193(77)90392-7

Cite this

@article{83f7d45552ad481d9cbf06c28fc1526e,

title = "Periodic solutions of some ecological models",

abstract = "A result is given on the existence of an asymptotically stable periodic solution of a class of systems of periodic ordinary differential equations. The result is applied to a lake eutrophication model with seasonal effects, and some suggestions are made for the solution of such models.",

author = "Fred Brauer",

note = "Funding Information: t This work was supported in part by the Wisconsin Alumni Research Foundation.",

year = "1977",

month = nov,

day = "7",

doi = "10.1016/0022-5193(77)90392-7",

language = "English (US)",

volume = "69",

pages = "143--152",

journal = "Journal of Theoretical Biology",

issn = "0022-5193",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Periodic solutions of some ecological models

AU - Brauer, Fred

N1 - Funding Information: t This work was supported in part by the Wisconsin Alumni Research Foundation.

PY - 1977/11/7

Y1 - 1977/11/7

N2 - A result is given on the existence of an asymptotically stable periodic solution of a class of systems of periodic ordinary differential equations. The result is applied to a lake eutrophication model with seasonal effects, and some suggestions are made for the solution of such models.

AB - A result is given on the existence of an asymptotically stable periodic solution of a class of systems of periodic ordinary differential equations. The result is applied to a lake eutrophication model with seasonal effects, and some suggestions are made for the solution of such models.

UR - http://www.scopus.com/inward/record.url?scp=0017662196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017662196&partnerID=8YFLogxK

U2 - 10.1016/0022-5193(77)90392-7

DO - 10.1016/0022-5193(77)90392-7

M3 - Article

C2 - 592865

AN - SCOPUS:0017662196

SN - 0022-5193

VL - 69

SP - 143

EP - 152

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

IS - 1

ER -

Periodic solutions of some ecological models

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this