Research Communication | Open Access
Volume 2019 | Communication ID 168
Volume 2019 | Communication ID 168
| An epidemic model with specific nonlinear incidence rate and random fluctuations. |
Amine El Koufi, Abdelkrim Bennar, Noura Yousfi
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: new stochastic SIR epidemic model with vaccination is proposed and analyzed. First, we show that the model is biologically well-posed by proving the global existence, positivity of solutions. Moreover, sufficient conditions for extinction and persistence of disease are obtained. In the end, some numerical simulations are presented to illustrate our analytical results.