Advanced Mathematical Models & Applications
Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.
Forecasting of the Epidemic Propagation Based on Solving the Inverse Problem for Discrete and Continuous Mathematical Models of Epidemics with Vaccination
- Published: 03-08-2025
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Discrete and continuous compartmental models of the spread of the epidemic are considered, taking into account vaccination and limited time spent in groups. Models include the following groups of people: susceptible, contacted, three categories of patients that are undetected, isolated and hospitalized, immunized, vaccinated, and contact vaccinated. Conducted qualitative and quantitative proposed models. The influence of process parameters is investigated. The problems of restoring the coefficients of the equations under consideration are set based on the results of measuring the number of registered patients, vaccinated and deceased. The inverse problems under consideration are solved using the corresponding optimization methods. As an example, the spread of the COVID-19 epidemic in Kazakhstan is being studied.
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