Chimera states in multi-strain epidemic models with temporary immunity
Abstract
We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity. In the absence of cross-immunity between strains, dynamics of each individual strain exhibits emergence and anni- hilation of limit cycles due to a Hopf bifurcation of the endemic equilibrium, and a saddle-node bifurcation of limit cycles depending on the time delay associated with duration of temporary immunity. Effects of all-to-all and non-local coupling topologies are systematically investigated by means of numerical simulations, and they suggest that cross-immunity is able to induce a diverse range of complex dynamical behaviors and synchro- nization patterns, including discrete traveling waves, solitary states, and amplitude chimeras. Interestingly, chimera states are observed for narrower cross-immunity kernels, which can have profound implications for understanding the dynamics of multi-strain diseases.
Keywords
Cite
@article{arxiv.1705.03395,
title = {Chimera states in multi-strain epidemic models with temporary immunity},
author = {Larissa Bauer and Jason Bassett and Philipp Hövel and Yuliya N. Kyrychko and Konstantin B. Blyuss},
journal= {arXiv preprint arXiv:1705.03395},
year = {2018}
}
Comments
9 pages, 13 figures