Research Communication | Open Access
Volume 2019 | Communication ID 96
Volume 2019 | Communication ID 96
| Dynamics and Periodic Solutions of Delayed Aedes Aegypti Model |
Ahmed Aghriche, Radouane Yafia, M. A. Aziz Alaoui, Abdessamde Tridane
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: Aedes aegypti (Ae. aegypti: mosquito) is a known vector of several viruses including yellow fever, dengue, chikungunya and zika. In the current paper, we present a delayed mathematical model describing the dynamics of Ae. aegypti. Our model is governed by a system of three delay differential equations modeling the interactions between three compartments of the Ae. aegypti life cycle (females, eggs and pupae). By using time delay as a parameter of bifurcation, we prove stability/switch stability of the possible equilibrium points and the existence of bifurcating branch of small amplitude ...