Theory and Modern Applications
Table 1 Description of state variables and parameters
From: Stochastic model of the transmission dynamics of COVID-19 pandemic
Notations | Description |
|---|---|
S(t) | Number of susceptible individuals at time t |
V(t) | Number of vaccinated individuals at time t |
I(t) | Number of infected individuals at time t |
T(t) | Number of treated individuals at time t |
R(t) | Number of recovered individuals at time t |
φ | Recruitment rate of susceptible individuals due to migration or birth |
α | The rate at which susceptible individuals tend to infected individuals |
δ | Treatment rate |
μ | Natural causing death rate of all individuals |
θ | Vaccination rate |
τ | Rate of death due to COVID-19 |
ρ | Recovery rate of treated individuals |
\(\sigma _{1}\) | Lose rate of immunity by recovered individuals |
\(\sigma _{2}\) | Lose rate of immunity by vaccinated individuals |
ω | COVID-19 causing death rate associated with the individuals that are on treatment |
B(t) | Standard Brownian motions |
\(\beta _{i}\) | Intensity of white noise |