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On constant-sign periodic solutions in modelling the spread of interdependent epidemics
Published online by Cambridge University Press: 17 February 2009
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 constant-sign periodic solutions (u1, u2, …, un), that is, for each 1 ≤ i ≤ n, ui, is periodic and θiui ≥ 0 where θi, ε (1, −1) is fixed. Examples are also included to illustrate the results obtained.
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- Copyright © Australian Mathematical Society 2006
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