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Theory and Modern Applications

Table 1 All variables in system (6) and their definitions

From: Fractional optimal control in transmission dynamics of West Nile virus model with state and control time delay: a numerical approach

Variable

Definition

\(M_{s}(t)\)

The population of susceptible mosquitoes

\(M_{i}(t)\)

The population of infected mosquitoes

\(N_{M}(t)\)

The total population of mosquitoes \(N_{M}(t)=M_{s}(t)+M_{i}(t)\)

\(B_{s}(t)\)

The population of susceptible birds

\(B_{i}(t)\)

The population of infected birds

\(N_{B}(t)\)

The total population of birds \(N_{B}(t)=B_{s}(t)+B_{i}(t)\)

S(t)

The population of susceptible humans

E(t)

The population of exposed humans

I(t)

The population of infected humans

H(t)

The population of hospitalized humans

R(t)

The population of recovered humans

\(N_{H}(t)\)

The total population of humans \(N_{H}(t)=S(t)+E(t)+I(t)+H(t)+R(t)\)