Disclaimer: machine translated by DeepL which may contain errors.
Mathematical Modeling of Infectious Diseases"
Hisashi INABA (Professor, Graduate School of Mathematical Sciences)
| Hisashi Inaba |
| Baifukan (Published in 2020) |
| isbn 978-4-563-01167-3 |
In the year since February 2020, our lives have been radically changed by the new coronary pandemic. University campuses have closed and remote classes have become the norm. Even though we know in our heads that infectious disease outbreaks are one of the greatest threats to humanity, we have been caught off guard once again.
With limited treatment options available, it is necessary to understand how the epidemic spreads among people and to control it by changing human behavior and altering immunity through vaccines. Mathematical models of infectious diseases have been developed for this purpose. This is the first book on the mathematical modeling of infectious diseases published in Japan in 2008, based on the contributions of a few experts in this research field in Japan. The book was out of print for a while, but now it is published in an expanded edition with an additional chapter on epidemic modeling of new coronas.
The SIR model, which has become famous as a mathematical model of infectious diseases, is a differential equation model proposed by W. O. Kermack and A. G. McKendrick in England in 1927. The concept of the threshold principle based on the basic reproduction number and the epidemic curve, which became famous with the new Corona, are clearly expressed in this model. This model was truly a revolutionary idea because it enabled us to understand the phenomenon of an "epidemic" for the first time as a nonlinear interaction of populations.
In this pandemic, mathematical models of infectious diseases have come into the limelight as a tool for countermeasures, triggering a great deal of research. We hope that this book will provide clues to understanding their true nature.
Published in Faculty of Science News, May 2021