Berlin 2018 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 19: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)
SOE 19.6: Talk
Thursday, March 15, 2018, 11:30–11:45, BH-N 128
Chimera states in multi-strain epidemic models with temporary immunity — Philipp Hövel1,2, Larissa Bauer1, •Jason Bassett1, Yuliya Kyrychko3, and Konstantin Blyuss3 — 1TU Berlin — 2BCCN Berlin — 3University of Sussex
We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity [1]. 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.
Reference: [1] L. Bauer, J. Bassett, P. Hövel, Y. N. Kyrychko, and K. B. Blyuss, CHAOS 27, 114317 (2017).