چکیده

Coronaviruses are a type of virus that has a single RNA, such as COVID-19. The virus was first found in china in December 2019 and soon spread to most countries around the world. Since the beginning of this epidemic, studies have been conducted on the dynamics of the transmission of this disease [1]. Mathematical models can describe the dynamics of human infectious diseases therefor can play an important role in controlling epidemic disease, such as (SIR), (SIS), (SIVS) and etc, that S(t), I(t) and V(t) denote the susceptible, infection and vaccination population sizes respectively at time t [2]. In [3] studied the dynamics of CVID-19 transmission with (SIR) model. Because the issue of vaccination in this disease is an important problem, we will consider effect of vaccination on the spread of the disease (SIVS). We calculate the appropriate basic reproduction number and find equilibrium points, then discuss the stability of the points for the model. S ̇=λ(1-μ)-d_S S-(B+AS)SI+αV, I ̇=(B+AS)SI-d_I I, V ̇=λμ+σI〖-d〗_V V-αV. The initial conditions s(0)≥0,I(0)≥0,V(0)≥0, in the SIVS model, d_s,d_I,d_V are the used for the natural death rate of population, λ(1-μ) rate of the population susceptible and λμ rate of vaccinated and safe person. A healthy person becomes infected by contact with an infected person, which we show(B+AS)SI, that is the incidence function in the system. Positive constant α rate of population that loses its immunity and rejoin susceptible population.

کليدواژه ها

SIVS epidemic model, immunity, vaccination, coronavirus-19, Global behavior

کد مقاله / لینک ثابت به این مقاله

برای لینک دهی به این مقاله، می توانید از لینک زیر استفاده نمایید. این لینک همیشه ثابت است :

نحوه استناد به مقاله

در صورتی که می خواهید در اثر پژوهشی خود به این مقاله ارجاع دهید، به سادگی می توانید از عبارت زیر در بخش منابع و مراجع استفاده نمایید:
مریم اصغری نیاری , 1400 , دینامیک یک مدل ریاضی برای بیماری همه گیری کووید-19 , نخستین همایش بین المللی و سومین همایش ملی ریاضیات زیستی