Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 58: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)

DY 58.6: Vortrag

Donnerstag, 15. März 2018, 11:30–11:45, BH-N 128

Chimera states in multi-strain epidemic models with temporary immunity — Philipp Hövel^1,2, 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).