Mathematical Modeling of Epidemics: Analysis and Control of Dinamics

Student: Zhuravleva Maria

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2020

In this study, mathematical models of epidemics are examined. The modified deterministic SEIR model is created, which describes the spread of the COVID-2019 on the cruise ship “Diamond Princess”. The model parameters are determined. The stability of the system under small perturbations of the initial data is investigated. The numerical solution of differential equations is found using Python. Dynamics of spread of the epidemic was investigated by varying the parameter of the contacts intensity between individuals in the group.

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