ANZIAM J.
47 (2006), 309332

On constantsign periodic solutions in modelling the spread of interdependent epidemics

Ravi P. Agarwal
Department of Mathematical Sciences
Florida Institute of Technology
Melbourne
Florida 329016975
USA
agarwal@fit.edu


Donal O'Regan
Department of Mathematics
National University of Ireland
Galway
Ireland



Patricia J. Y. Wong
School of Electrical and Electronic Engineering
Nanyang Technological University
50 Nanyang Avenue
Singapore 639798
Singapore
ejywong@ntu.edu.sg



Abstract

We consider the following model that describes
the spread of n
types of epidemics which are interdependent on
each other:


Our aim is to establish criteria such that the
above system has one or multiple
constantsign periodic solutions
, that is, for each
is periodic and
where is fixed. Examples are also included to
illustrate the results obtained.

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