A note on difference-delay equations

Simon A. Levin; Robert M. May

doi:10.1016/0040-5809(76)90043-5

A note on difference-delay equations

Simon A. Levin
, Robert M. May

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

137 Scopus citations

Abstract

Populations that obey differential-delay equations, and those that obey ordinary first-order difference equations, may be understood within a common general framework, wherein excessive time lags lead to stable limit cycle behavior. This note extends the analysis to include difference-delay equations (i.e., nonoverlapping generations with explicit time lags in the density dependent regulatory mechanisms).

Original language	English (US)
Pages (from-to)	178-187
Number of pages	10
Journal	Theoretical Population Biology
Volume	9
Issue number	2
DOIs	https://doi.org/10.1016/0040-5809(76)90043-5
State	Published - Apr 1976
Externally published	Yes

All Science Journal Classification (ASJC) codes

Ecology, Evolution, Behavior and Systematics

Access to Document

10.1016/0040-5809(76)90043-5

Cite this

@article{e737873a41e745f090111c37b79b62b0,

title = "A note on difference-delay equations",

abstract = "Populations that obey differential-delay equations, and those that obey ordinary first-order difference equations, may be understood within a common general framework, wherein excessive time lags lead to stable limit cycle behavior. This note extends the analysis to include difference-delay equations (i.e., nonoverlapping generations with explicit time lags in the density dependent regulatory mechanisms).",

author = "Levin, \{Simon A.\} and May, \{Robert M.\}",

note = "Funding Information: We are indebted to a reviewer for constructive comments. This work was supported in part by the National Science Foundation under Grants GP 33031 (to S.A.L.) and BMS-7510464 (to R.M.M.).",

year = "1976",

month = apr,

doi = "10.1016/0040-5809(76)90043-5",

language = "English (US)",

volume = "9",

pages = "178--187",

journal = "Theoretical Population Biology",

issn = "0040-5809",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A note on difference-delay equations

AU - Levin, Simon A.

AU - May, Robert M.

N1 - Funding Information: We are indebted to a reviewer for constructive comments. This work was supported in part by the National Science Foundation under Grants GP 33031 (to S.A.L.) and BMS-7510464 (to R.M.M.).

PY - 1976/4

Y1 - 1976/4

N2 - Populations that obey differential-delay equations, and those that obey ordinary first-order difference equations, may be understood within a common general framework, wherein excessive time lags lead to stable limit cycle behavior. This note extends the analysis to include difference-delay equations (i.e., nonoverlapping generations with explicit time lags in the density dependent regulatory mechanisms).

AB - Populations that obey differential-delay equations, and those that obey ordinary first-order difference equations, may be understood within a common general framework, wherein excessive time lags lead to stable limit cycle behavior. This note extends the analysis to include difference-delay equations (i.e., nonoverlapping generations with explicit time lags in the density dependent regulatory mechanisms).

UR - https://www.scopus.com/pages/publications/0016946745

UR - https://www.scopus.com/pages/publications/0016946745#tab=citedBy

U2 - 10.1016/0040-5809(76)90043-5

DO - 10.1016/0040-5809(76)90043-5

M3 - Article

C2 - 1273798

AN - SCOPUS:0016946745

SN - 0040-5809

VL - 9

SP - 178

EP - 187

JO - Theoretical Population Biology

JF - Theoretical Population Biology

IS - 2

ER -

A note on difference-delay equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this