TY - JOUR
ID - 105912
TI - Mathematical simulation of contagious virus spread
JO - Annals of Optimization Theory and Practice
JA - AOTP
LA - en
SN - 2588-3666
AU - Nazari Farokhi, Ebrahim
AD - IT Management, Imam Ali University, Tehran, Iran
Y1 - 2019
PY - 2019
VL - 2
IS - 2
SP - 35
EP - 45
KW - Contagious Disease
KW - susceptible
KW - Treated
KW - Improved
DO - 10.22121/aotp.2020.213803.1025
N2 - In this article we study the prevalence of contagious disease in a community. To this end, we view society as a dynamic system and apply mathematical equations and relationships to it. First, we present the history of mathematical modeling in the field of contagious diseases and the work done in this field, then find out the probability of the virus spreading in a population with a number of people with contagious disease, and finally the differential equation of disease spread. Obtain the environment and then calculate the time it took to get the disease. In addition, we also plan to provide a model to describe how a virus is transmitted. In this model, we have four boxes called susceptible individuals, virus carriers, treated individuals, and improved individuals. We obtain the differential equations of growth and decline of each of these boxes and examine the stability condition of the system.
UR - http://aotp.fabad-ihe.ac.ir/article_105912.html
L1 - http://aotp.fabad-ihe.ac.ir/article_105912_559e5e8ab72be2ec37f18c1a22038406.pdf
ER -