Chimera states in multi-strain epidemic models with temporary immunity
| Autor: | Bauer, Larissa, Bassett, Jason, Hövel, Philipp, Kyrychko, Yuliya N., Blyuss, Konstantin B. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Chaos 27, 114317 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/1.5008386 |
| Popis: | 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. Comment: 9 pages, 13 figures |
| Databáze: | arXiv |
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