عنوان مقاله:

نویسندگان:

محمدحسین رحمانی دوست، آزیتا فرهمندفرد

Over the past century, mathematical modeling has made the connection between important public health questions and the basic parameters of infection for a proper understanding of the spread of disease has been used. Nowdays, every scientist and researcher knows the importance and appreciation of dynamical systems and differential equations in ecology, biology, medicine, epidemiology and etc. The major topic in epidemiology is when time a disease is epidemic, endemic or pandemic. This is usually done by finding the basic reproduction number, R0. In this paper, we study SIR and SEIR models. In continuation after finding equilibrium point, we prove three theorems which analyzes locally and globally asymptotically stability and backward bifurcation.

Stability, Basic reproduction number, Backward bifurcation.

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رحمانی دوست، محمدحسین، فرهمندفرد، آزیتا، 1400، مطالعه ای بر مدل های اپیدمیک، پایداری و عدد تکثیر پایه ای، سومين کنفرانس سيستم های ديناميکی و نظريه های هندسی، https://cnf.hsu.ac.ir/fa/archive_index.php?c=cdsgt3&aid=69828