Table 2 The sensitivity indices \(\gamma _{y_j}^{R_C}=\frac{\partial R_C}{\partial y_j}\times \frac{y_j}{R_C}\) of the reproduction number for the system (1) to the parameters \(y_j\) for the parametric values: \(r=6\), \(K=100\), \(\rho =0.4\), \(\alpha _0=0.01\), \(\beta =0.9\), \(\delta _1=0.1\), \((\delta _2)_0 =0.8\), \((\delta _3)_0=0.65\), \(\epsilon _1=0.9\), \(\epsilon _2 =0.85\), \(\epsilon _3 =0.3\), \(a=25\), \(b_0 =0.1\), \(\gamma _0=1.05\), \(\sigma _0=1.55\).
From: An eco-epidemic model with seasonal variability: a non-autonomous model
Parameter \((y_j)\) | r | K | \(\alpha _0\) | \(\beta \) | \(\sigma _0\) | \(\gamma _0\) | \((\delta _2)_0\) |
|---|---|---|---|---|---|---|---|
\(\gamma ^{R_C}_{y_j}\) | \( -0.135\) | \(-0.472\) | \(-0.59\) | \( -0.253\) | 0.747 | 0.253 | 0.828 |
Parameter \((y_j)\) | \(\epsilon _1\) | \(\epsilon _2\) | \(\epsilon _3\) | \(b_0\) | a | \(\delta _1\) | \((\delta _3)_0\) |
\(\gamma ^{R_C}_{y_j}\) | \(-0.725\) | 0 | 0 | \(-0.104\) | \(-0.118\) | \(-0.0002\) | \(-0.747\) |