Parameter values used in numerical simulation.

<p>Parameter values used in numerical simulation.</p

The graph shows the exposed humans with and without control.

<p>The graph shows the exposed humans with and without control.</p

The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₁ and <i>ξ</i>.

<p>The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₁ and <i>ξ</i>.</p

The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₂ and <i>σ</i>.

<p>The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₂ and <i>σ</i>.</p

The graph represents the exposed vectors with and without control.

<p>The number of exposed sand flies approach to a small number, due to optimal control.</p

The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₃ and <i>σ</i>.

<p>The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₃ and <i>σ</i>.</p

The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₁ and <i>ϕ</i>.

<p>The sensitivity analysis of the basic reproduction number <i>R</i>₀ verses <i>γ</i>₁ and <i>ϕ</i>.</p

The plot represents the time dynamics of the vaccinated population.

<p>The plot represents the time dynamics of the vaccinated population.</p

The plot represents the time dynamics of the acutely infected population.

<p>The plot represents the time dynamics of the acutely infected population.</p

The graph represents the susceptible vectors with and without control.

<p>The number susceptible sand flies approach to a small number, due to optimal control.</p