期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 86, 期 10-11, 页码 1867-1877出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160902783532
关键词
numerical bifurcation analysis; Lyapunov exponents; 2 symmetry; epidemiology; antibody dependent enhancement (ADE)
We analyse an epidemiological model of competing strains of pathogens and hence differences in transmission for first versus secondary infection due to interaction of the strains with previously aquired immunities, as has been described for dengue fever, is known as antibody dependent enhancement (ADE). These models show a rich variety of dynamics through bifurcations up to deterministic chaos. Including temporary cross-immunity even enlarges the parameter range of such chaotic attractors, and also gives rise to various coexisting attractors, which are difficult to identify by standard numerical bifurcation programs using continuation methods. A combination of techniques, including classical bifurcation plots and Lyapunov exponent spectra, has to be applied in comparison to get further insight into such dynamical structures. Here we present for the first time multi-parameter studies in a range of biologically plausible values for dengue. The multi-strain interaction with the immune system is expected to have implications for the epidemiology of other diseases also.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据