Document Type

Article

Department/Program

Applied Science

Journal Title

Chaos

Pub Date

2009

Volume

19

Issue

4

Abstract

This paper examines the interplay of the effect of cross immunity and antibody-dependent enhancement (ADE) in multistrain diseases. Motivated by dengue fever, we study a model for the spreading of epidemics in a population with multistrain interactions mediated by both partial temporary cross immunity and ADE. Although ADE models have previously been observed to cause chaotic outbreaks, we show analytically that weak cross immunity has a stabilizing effect on the system. That is, the onset of disease fluctuations requires a larger value of ADE with small cross immunity than without. However, strong cross immunity is shown numerically to cause oscillations and chaotic outbreaks even for low values of ADE. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3270261]

DOI

10.1063/1.3270261

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