Periodic solutions for a class of epidemic equations

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.

Original languageEnglish (US)
Pages (from-to)467-479
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume64
Issue number2
DOIs
StatePublished - Jun 15 1978
Externally publishedYes

Fingerprint

Global Bifurcation
Delay Equations
Integral equations
Periodic Solution
Integral Equations
Exceed
Zero
Theorem
Modeling
Model
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Periodic solutions for a class of epidemic equations. / Smith, Hal.

In: Journal of Mathematical Analysis and Applications, Vol. 64, No. 2, 15.06.1978, p. 467-479.

Research output: Contribution to journalArticle

@article{d5ee4d4612d0408e96dbe6436cb0332b,
title = "Periodic solutions for a class of epidemic equations",
abstract = "Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.",
author = "Hal Smith",
year = "1978",
month = "6",
day = "15",
doi = "10.1016/0022-247X(78)90055-0",
language = "English (US)",
volume = "64",
pages = "467--479",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - Periodic solutions for a class of epidemic equations

AU - Smith, Hal

PY - 1978/6/15

Y1 - 1978/6/15

N2 - Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.

AB - Periodic solutions for a class of delay integral equations modeling epidemics are shown to bifurcate from the identically zero solution when a certain parameter exceeds a threshold. The equations are a special case of a general model proposed by Hoppensteadt and Waltman [3]. A global bifurcation theorem of Roger Nussbaum [5] is the main tool.

UR - http://www.scopus.com/inward/record.url?scp=42249096571&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42249096571&partnerID=8YFLogxK

U2 - 10.1016/0022-247X(78)90055-0

DO - 10.1016/0022-247X(78)90055-0

M3 - Article

AN - SCOPUS:42249096571

VL - 64

SP - 467

EP - 479

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -