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Theory and Modern Applications

Table 1 Description of parameters of the model

From: Dynamics analysis and optimal control of SIVR epidemic model with incomplete immunity

Parameter

Biological implication

\(D_{i}\) (i = 1,2,3,4)

Diffusion coefficient in susceptibility, infection, vaccination, recovery path

Λ(x)

Recruitment rate of the susceptible host

r(x)

Vaccination coverage rates of susceptible persons

α(x)

Transmission between infected and vaccinated hosts

β(x)

Transmission between infected and susceptible hosts

\(d_{i}(x)\) (i = 1,2,3,4)

Mortality of susceptible, infected, vaccinated, and recovered hosts

γ(x)

Recovery rate of infected persons

K(x)

Half-saturation concentration

η(x)

Effectiveness of vaccine