SVIRS Model
divides the human population into four subpopulations: those susceptible to COVID, vaccinated, infected, and recovered from COVID
N(t) = S(t) + V(t) + I(t) + R(t)
COVID-19 #
cause respiratory tract infections that can range from mild to lethal
symptoms
transmitted when people breathe in air contaminated by droplets/aerosols and small airborne particles containing the virus
diagnosis
Viral testing
The standard methods of testing for presence of SARS-CoV-2 are nucleic acid tests, which detects the presence of viral RNA fragments
Imaging
Chest CT scans may be helpful to diagnose COVID‑19 in individuals with a high clinical suspicion of infection but are not recommended for routine screening
prevention
vaccine
face masks
avoiding crowded indoor spaces
hand-washing and hygiene
social distancing
Comirnaty (Pfizer/Wyeth)
Coronavac (Butantan)
Janssen Vaccine (Janssen-Cilag)
Oxford/Covishield (Fiocruz e Astrazeneca)
Sputnik
Covaxin (SUSPENSA)
The first known Covid-19 case was a vendor at the live-animal market in Wuhan, China in december, 2019
variation of SIR model
can be described by a system of ODEs
As of 7 September 2022, more than 6.5 million deaths had been attributed to COVID-19.
INFECTED (I)
SUSCEPTIBLE (S)
RECOVERED (R)
Fever
Cough
Headache
Fatigue
Breathing difficulties
Loss of smell/taste
dSdt=ωrR−λS+ωvV−ϕS
\[ \frac{ \mathrm{d} V}{ \mathrm{d} t} = -(1 - ψ)λV - ω_{v} V + \phi S \]
\[ \frac{ \mathrm{d} R}{ \mathrm{d} t} = γI - ω_rR \]
\[ \frac{ \mathrm{d} I}{ \mathrm{d} t} = λS + (1 - ψ)λV - γI \]
It's a compartmental model, a very general modelling technique. Often applied to the mathematical modelling of infectious diseases, like COVID-19
although those who have recovered become susceptible again at some point