Table 4.

Elasticities of the descriptors in Table 3 with respect to primary parameters in the S I ₁,I ₂ S epidemic model with c=0.25

Elasticities	θ = β1	θ = β2	θ = λ1	θ = λ2	θ = γ1	θ = γ2
$\frac{\partial E[T]/\partial \theta }{{\theta }^{-1}E[T]}$	+0.34677	+9.74277	−0.21501	+0.68438	−0.52104	−11.03787
$\frac{\partial \sigma (T)/\partial \theta }{{\theta }^{-1}\sigma (T)}$	+0.02910	+9.54556	−0.24298	+0.61974	−0.12515	−10.82626
$\frac{\partial E[X_{\max }]/\partial \theta }{{\theta }^{-1}E[X_{\max }]}$	+0.23125	+0.32876	+0.01805	+0.03876	−0.25994	−0.35689
$\frac{\partial \sigma (X_{\max })/\partial \theta }{{\theta }^{-1}\sigma (X_{\max })}$	−0.35035	−0.20165	−0.04290	−0.04085	+0.38545	+0.25030
$\frac{\partial E[T(1)]/\partial \theta }{{\theta }^{-1}E[T(1)]}$	+4.50387	−2.01010	+0.14857	−0.49981	−5.14178	+1.99925
$\frac{\partial \sigma (T(1))/\partial \theta }{{\theta }^{-1}\sigma (T(1))}$	+4.57286	−2.03753	+0.11877	−0.64958	−5.15409	+2.14957
$\frac{\partial E[I_2(T(1))]/\partial \theta }{{\theta }^{-1}E[I_2(T(1))]}$	+0.86287	+1.24945	+0.05036	+0.13550	−1.23667	−1.06153
$\frac{\partial \sigma (I_2(T(1)))/\partial \theta }{{\theta }^{-1}\sigma (I_2(T(1)))}$	+0.28166	+0.77701	+0.01704	+0.01477	−0.43910	−0.65139
$\frac{\partial E[X_{\max }(1)]/\partial \theta }{{\theta }^{-1}E[X_{\max }(1)]}$	+1.69079	−0.57956	+0.07306	−0.08225	−1.60528	+0.50325
$\frac{\partial \sigma (X_{\max }(1))/\partial \theta }{{\theta }^{-1}\sigma (X_{\max }(1))}$	+1.22316	−0.46291	+0.02971	−0.08852	−1.15905	+0.45761
$\frac{\partial E[T(2)]/\partial \theta }{{\theta }^{-1}E[T(2)]}$	−4.03536	+9.69147	−0.76852	+0.33206	+4.64273	−10.86238
$\frac{\partial \sigma (T(2))/\partial \theta }{{\theta }^{-1}\sigma (T(2))}$	−3.73132	+9.10850	−0.75903	+0.27937	+4.35939	−10.25690
$\frac{\partial E[I_1(T(2))]/\partial \theta }{{\theta }^{-1}E[I_1(T(2))]}$	+2.29215	+0.40123	+0.23929	+0.03737	−2.36991	−0.60014
$\frac{\partial \sigma (I_1(T(2)))/\partial \theta }{{\theta }^{-1}\sigma (I_1(T(2)))}$	+0.98563	+0.09937	+0.01294	+0.01000	−0.93989	−0.16806
$\frac{\partial E[X_{\max }(2)]/\partial \theta }{{\theta }^{-1}E[X_{\max }(2)]}$	−0.43243	+1.08596	−0.03890	+0.07347	+0.42559	−1.11369
$\frac{\partial \sigma (X_{\max }(2))/\partial \theta }{{\theta }^{-1}\sigma (X_{\max }(2))}$	−0.11834	+0.29223	−0.01981	+0.00009	+0.14455	−0.29872
$\frac{\partial E[I_1(\infty )]/\partial \theta }{{\theta }^{-1}E[I_1(\infty )]}$	+5.62035	−6.43584	+0.98647	−0.55509	−6.60683	+6.99094
$\frac{\partial \sigma (I_1(\infty ))/\partial \theta }{{\theta }^{-1}\sigma (I_1(\infty ))}$	+3.76640	−3.79310	+0.45838	−0.37816	−4.22478	+4.17126
$\frac{\partial E[I_2(\infty )]/\partial \theta }{{\theta }^{-1}E[I_2(\infty )]}$	−0.43187	+1.31603	−0.08106	+0.06638	+0.51294	−1.38241
$\frac{\partial \sigma (I_2(\infty ))/\partial \theta }{{\theta }^{-1}\sigma (I_2(\infty ))}$	+1.25353	−1.70748	+0.18008	−0.19435	−1.43362	+1.90183

Note. (Strain 1: antibiotic sensitive; strain 2: antibiotic resistant.)