On constant-sign periodic solutions in modelling the spread of interdependent epidemics

Ravi P. Agarwal; Donal O'Regan; Patricia J. Y. Wong

doi:10.13025/24195

On constant-sign periodic solutions in modelling the spread of interdependent epidemics

Ravi P. Agarwal
, Donal O'Regan
, Patricia J. Y. Wong

Mathematics

Department of Mathematical Sciences
Lee Kong Chian School of Medicine/Nanyang Technological University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We consider the following model that describes the spread of n types of epidemics which are interdependent on each other:u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of R, 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained.

Original language	English (Ireland)
Pages (from-to)	309-332
Number of pages	24
Journal	ANZIAM JOURNAL
Volume	47
Issue number	3
DOIs	https://doi.org/10.13025/24195 https://doi.org/10.1017/s144618110000986x
Publication status	Published - 1 Jan 2006

Keywords

Epidemics
Fixed point theorems
Integral equations
Periodic solutions

Access to Document

10.13025/24195Licence: CC BY-NC-ND
10.1017/s144618110000986x

Cite this

@article{7c052be53c074b13ab4e4378e94e5716,

title = "On constant-sign periodic solutions in modelling the spread of interdependent epidemics",

abstract = "We consider the following model that describes the spread of n types of epidemics which are interdependent on each other:u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of R, 1 = 0 where theta(i) is an element of \{1, -1\} is fixed. Examples are also included to illustrate the results obtained.",

keywords = "Epidemics, Fixed point theorems, Integral equations, Periodic solutions",

author = "Agarwal, \{Ravi P.\} and Donal O'Regan and Wong, \{Patricia J. Y.\}",

year = "2006",

month = jan,

day = "1",

doi = "10.13025/24195",

language = "English (Ireland)",

volume = "47",

pages = "309--332",

journal = "ANZIAM JOURNAL",

number = "3",

}

TY - JOUR

T1 - On constant-sign periodic solutions in modelling the spread of interdependent epidemics

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Wong, Patricia J. Y.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We consider the following model that describes the spread of n types of epidemics which are interdependent on each other:u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of R, 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained.

AB - We consider the following model that describes the spread of n types of epidemics which are interdependent on each other:u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of R, 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained.

KW - Epidemics

KW - Fixed point theorems

KW - Integral equations

KW - Periodic solutions

UR - http://hdl.handle.net/10379/8810

UR - https://www.scopus.com/pages/publications/33748564615

U2 - 10.13025/24195

DO - 10.13025/24195

M3 - Article

VL - 47

SP - 309

EP - 332

JO - ANZIAM JOURNAL

JF - ANZIAM JOURNAL

IS - 3

ER -

On constant-sign periodic solutions in modelling the spread of interdependent epidemics

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this