Chimera states in multi-strain epidemic models with temporary immunity

Bauer, Larissa, Bassett, Jason, Hoevel, Philipp, Kyrychko, Yuliya and Blyuss, Konstantin (2017) Chimera states in multi-strain epidemic models with temporary immunity. Chaos, 27 (11). p. 114317. ISSN 1054-1500

[img] PDF - Published Version
Restricted to SRO admin only until 23 October 2018.

Download (2MB)
[img] PDF - Accepted Version
Download (1MB)

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 annihilation 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 synchronization 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 23 Oct 2017 16:18
Last Modified: 24 Oct 2017 12:57
URI: http://sro.sussex.ac.uk/id/eprint/70619

View download statistics for this item

📧 Request an update