Research Article
A Deterministic Model for Q Fever Transmission Dynamics within Dairy Cattle Herds: Using Sensitivity Analysis and Optimal Controls
Table 2
The elasticity indices of
and the relative change of
and
at the endemic equilibrium points, to the parameters in the model.
| Parameter | Baseline value | Elasticity index, | | | |
| β | 0.0943 | +1.0000 | +1.9255 | +1.9255 | +1.9255 | | 0.0036 | +1.0000 | +2.9255 | +2.9255 | +2.9255 | η | 20.0400 | +1.0000 | +1.9255 | +1.9255 | +2.9255 | ρ | 20.0097 | −0.7578 | −1.4592 | −1.4592 | −1.4592 | α | 10.0029 | −0.1351 | −1.1956 | −0.1956 | −1.1041 | θ | 10.0027 | +0.9048 | +1.7422 | +1.7422 | +1.7422 | μ | 10.0002 | −0.9492 | −1.8923 | −1.8992 | −1.8929 | ν | 10.1000 | −0.9718 | −1.8713 | −1.8713 | −1.8713 | ε | 10.1000 | −0.9234 | −1.7779 | −1.7779 | −2.7013 | δ | 20.0083 | −0.0766 | −0.1476 | −0.1476 | −0.2242 | c | 0.0286 | −0.0908 | −0.1749 | −1.1680 | −0.2658 |
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