Periodic solutions for a class of epidemic equations

Hal Smith

doi:10.1016/0022-247X(78)90055-0

Periodic solutions for a class of epidemic equations

Hal Smith

Mathematical and Statistical Sciences, School of (SoMSS)

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

5 Scopus citations

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 language	English (US)
Pages (from-to)	467-479
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	64
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(78)90055-0
State	Published - Jun 15 1978

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

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

Cite this

@article{004a994b27fa4d50a6648556d35244b6,

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 = jun,

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 - https://www.scopus.com/pages/publications/42249096571

UR - https://www.scopus.com/pages/publications/42249096571#tab=citedBy

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

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

M3 - Article

SN - 0022-247X

VL - 64

SP - 467

EP - 479

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Periodic solutions for a class of epidemic equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this