Table 1 Model describing dengue dynamics

\( \begin{array}{l}\frac{d{S}_H}{dt}=- ab{I}_V\frac{S_H}{N_H}-\mu {S}_H+\mu {N}_H,\\ {}\frac{d{I}_H}{dt}= ab{I}_V\frac{S_H}{N_H}-\left(\mu +\gamma +\alpha \right){I}_H,\\ {}\frac{d{R}_H}{dt}=\gamma {I}_H-\mu {R}_H\\ {}\frac{d{S}_V}{dt}=-ac{S}_V\frac{I_H}{N_H}+{\mu}_V\left({N}_V-{S}_V\right),\\ {}\frac{d{L}_V}{dt}=ac{S}_V\frac{I_H}{N_H}-{\mu}_V{L}_V-{\gamma}_V{L}_V,\\ {}\frac{d{I}_V}{dt}={\gamma}_V{L}_V-{\mu}_V{I}_V,\\ {}{N}_H={S}_H+{I}_H+{R}_H,\end{array} \) (1)