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Information × Registration Number 0222U002202, 0121U111718 , R & D reports Title Infectious disease dynamics: mathematical modelling with emphasis on COVID-19 and tuberculosis drug-resistant forms popup.stage_title Head Kozlovskyi Mykhailo P., д.ф.-м.н. Registration Date 10-02-2022 Organization Institute of Condensed Matter Physics of the National Academy of Sciences of Ukraine popup.description2 We calculated the exact equation of state of a cell model with Curie-Weiss interaction. We have shown for the first time that a continuous cell model has a sequence of first-order phase transitions at temperatures below the critical one. Such a result paves the way to creating qualitatively new approaches to describing first-order phase transitions in continuous systems, as well as the processes of spreading, in particular, infectious diseases. We analyzed the occurrence mechanism of the sequence of phase transitions based on the behavior of the chemical potential, as well as obtained the extreme value of the chemical potential as a function of density. Using the formalism of the grand canonical distribution has made this possible. We managed to implement the well-known idea of the determining role of chemical potential in specific mathematical formulas to describe the phenomenon of the first-order phase transition. Phase diagrams and phase coexistence curves for the cell model are plotted. The thermodynamic properties of the model, such as the pressure isotherms and the isothermal compressibility are studied. The parameters of the critical point, as well as the behavior of the order parameter in the first three phase transitions, are determined. We elaborated a mathematical apparatus, which will be the basis of a new concept of mathematical modeling of infectious diseases spreading using the cell model.  Product Description popup.authors Dobush Oksana A. popup.nrat_date 2022-03-09 Close