2006/07/12 by Leah B. Shaw, Shaw, Leah B., Lora Billings +3
Biochemistry, Genetics and Molecular Biology · Medicine · #Chaotic Dynamics (nlin.CD) #Evolution and Genetic Dynamics #FOS: Physical sciences #Mosquito-borne diseases and control #Viral Infections and Vectors
paper · pdf · doi:10.48550/arxiv.nlin/0607022
openalex publication_date 2006/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Multistrain diseases have multiple distinct coexisting serotypes (strains). For some diseases, such as dengue fever, the serotypes interact by antibody-dependent enhancement (ADE), in which infection with a single serotype is asymptomatic, but contact with a second serotype leads to higher viral load and greater infectivity. We present and analyze a dynamic compartmental model for multiple serotypes exhibiting ADE. Using center manifold techniques, we show how the dynamics rapidly collapses to a lower dimensional system. Using the constructed reduced model, we can explain previously observed synchrony between certain classes of primary and secondary infectives (Schwartz et al., Phys. Rev. E 72: 066201, 2005). Additionally, we show numerically that the center manifold equations apply even to noisy systems. Both deterministic and stochastic versions of the model enable prediction of asymptomatic individuals that are difficult to track during an epidemic. We also show how this technique may be applicable to other multistrain disease models, such as those with cross-immunity.