2 | FUNDAMENTAL RESULTS
Theorem 2.1 | Theorem 1 , Alqudah 9
The system \((2)\) has two equilibrium points given by the following:
\(P_{u}\left(S_{1},S_{2},\ldots{,S}_{n-1},T,T_{i},V\right)=(0,0,\ldots,0,\frac{\lambda}{d^{\prime}},0,0)\), corresponding to the uninfected case, and
\(P_{e}\left(S_{1},S_{2},\ldots{,S}_{n-1},T,T_{i},V\right)=\left(0,0,\ldots,0,\ \frac{\lambda}{d^{\prime}}\frac{1}{R_{0}},\ \frac{d^{\prime}c}{\text{kσ}}\left(R_{0}-1\right),\ \frac{d^{\prime}}{k}\left(R_{0}-1\right)\right)\), corresponding to endemic case.
\(R_{0}\) is the basic reproduction ratio of the viruses, given by (5)