Title | The model of the spread of a pandemic with two stable states |
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Authors | V. O. Bugrov^{1}, A. E. Rassadin^{2}^{1}Volga Operational Customs ^{2}Higher School of Economics |

Annotation | The article presents the results of a study of a distributed model of the spread of a hypothetical infectious disease, the dynamics of infection of which is determined by the generalization of the Gompertz’s law. This study was conducted for various time dependencies for the rate of spread of the disease. Self-similar solutions for the case of a constant rate of spread of the disease are also obtained in the work. |

Keywords | method of characteristics, Lagrangian coordinate, Eulerian coordinate, traveling wave, one-hump distribution, two-hump distribution. |

Citation | Bugrov V. O., Rassadin A. E. ''The model of the spread of a pandemic with two stable states'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 40-48. Available at: https://conf.svmo.ru/files/2022/papers/paper07.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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