Research Communication | Open Access
Volume 2021 | Communication ID 29
Volume 2021 | Communication ID 29
| Bifurcation of periodic solutions of a delayed SEIR epidemic model with nonlinear incidence rate |
Amine Bernoussi
Received |
Accepted |
Published |
January 17, 2021 |
January 31, 2021 |
March 15, 2021 |
Abstract: In this paper, we propose the SEIR epidemic model with delay and nonlinear incidence rate. The resulting model has two possible equilibria: if R0 ≤1; then the SEIR epidemic model has a disease-free equilibrium and if R0 > 1; then the SEIR epidemic model admits a unique endemic equilibrium. By using suitable Lyapunov functionals and LaSalle's invariance principle, the global stability of a disease-free equilibrium is established. Our main contribution affirms the existence of non constant periodic solutions which bifurcate from the endemic equilibrium when the delay crosses some critical ...