Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2008-12-19
Biology
Quantitative Biology
Populations and Evolution
10 pages, 11 figures. Updated version
Scientific paper
This paper examines the interplay of the effect of cross immunity and antibody-dependent enhancement (ADE) in mutistrain 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.
Bianco Simone
Schwartz Ira B.
Shaw Brandon L.
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