Nontrivial Periodic Solutions in the Modelling of Infectious Disease

Author： Patricia J.Y. Wong   K.L. Boey  

Publisher： Taylor & Francis Ltd

ISSN： 0003-6811

Source： Applicable Analysis, Vol.83, Iss.1, 2004-01, pp. : 1-16

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Abstract

The modelling of the spread of infectious disease is discussed for time t in the real (), discrete () and time scale (T) domains. We shall offer criteria for the existence of a nontrivial and nonnegative periodic solution for the model in all the three domains. These criteria can be implemented numerically and an algorithm is given.

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