Dynamics of epidemics in homogeneous heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model: Constant-sign periodic solutions for the discrete model

Donal O'Regan

doi:10.1016/j.nonrwa.2006.06.005

Dynamics of epidemics in homogeneous heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model: Constant-sign periodic solutions for the discrete model

Donal O'Regan

Mathematics

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

6 Citations (Scopus)

Abstract

We consider the following model that describes the dynamics of epidemics in homogeneous heterogeneous populations as well as the spreading of multiple inter-related infectious diseases:[GRAPHICS]Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions (u(1), u(2), . . . , u(n)), i.e., for each 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained. (c) 2006 Elsevier Ltd. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	1040-1061
Number of pages	22
Journal	Nonlinear Analysis-Real World Applications
Volume	8
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2006.06.005
Publication status	Published - 1 Sep 2007

Keywords

Constant-sign solutions
Periodic solutions
Spreading of infectious disease
System of difference equations

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,O'Regan, D,Wong, PJY

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10.1016/j.nonrwa.2006.06.005

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abstract = "We consider the following model that describes the dynamics of epidemics in homogeneous heterogeneous populations as well as the spreading of multiple inter-related infectious diseases:[GRAPHICS]Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions (u(1), u(2), . . . , u(n)), i.e., for each 1 = 0 where theta(i) is an element of \{1, -1\} is fixed. Examples are also included to illustrate the results obtained. (c) 2006 Elsevier Ltd. All rights reserved.",

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O'Regan, D 2007, 'Dynamics of epidemics in homogeneous heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model: Constant-sign periodic solutions for the discrete model', Nonlinear Analysis-Real World Applications, vol. 8, no. 4, pp. 1040-1061. https://doi.org/10.1016/j.nonrwa.2006.06.005

Dynamics of epidemics in homogeneous heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model: Constant-sign periodic solutions for the discrete model. / O'Regan, Donal.
In: Nonlinear Analysis-Real World Applications, Vol. 8, No. 4, 01.09.2007, p. 1040-1061.

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

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N2 - We consider the following model that describes the dynamics of epidemics in homogeneous heterogeneous populations as well as the spreading of multiple inter-related infectious diseases:[GRAPHICS]Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions (u(1), u(2), . . . , u(n)), i.e., for each 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained. (c) 2006 Elsevier Ltd. All rights reserved.

AB - We consider the following model that describes the dynamics of epidemics in homogeneous heterogeneous populations as well as the spreading of multiple inter-related infectious diseases:[GRAPHICS]Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions (u(1), u(2), . . . , u(n)), i.e., for each 1 = 0 where theta(i) is an element of {1, -1} is fixed. Examples are also included to illustrate the results obtained. (c) 2006 Elsevier Ltd. All rights reserved.

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KW - Periodic solutions

KW - Spreading of infectious disease

KW - System of difference equations

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Dynamics of epidemics in homogeneous heterogeneous populations and the spreading of multiple inter-related infectious diseases: Constant-sign periodic solutions for the discrete model: Constant-sign periodic solutions for the discrete model

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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