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Chimera states in multi-strain epidemic models with temporary immunity
journal contribution
posted on 2023-06-12, 08:45 authored by Larissa Bauer, Jason Bassett, Philipp Hoevel, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin BlyussWe 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.
History
Publication status
- Published
File Version
- Published version
Journal
ChaosISSN
1054-1500Publisher
American Institute of PhysicsPublisher URL
External DOI
Issue
11Volume
27Page range
114317Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Mathematics Applied to Biology Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes