Fig. 7

Convergence of solution trajectories for infected humans \((E_{h}+I_{h})\) with different initial sizes. Parameter values used are as given in Table 2 except for a \(\beta _{h}=1.6889\) so that \({\mathcal {R}}_{0}=3.22 > 1.\); b \(\beta _{h}=0.2815, \sigma _{h}=0.3701, \mu _{r}=0.1882, \beta _{r}=0.0124\) so that \({\mathcal {R}}_{0}= 0.50< 1.\)