Author(s) : Magdoleen Abdelghani, Mohammed Bakheet and Eihab BashierPages : [21] - [47]
Received : April 26, 2023; Revised August 14, 2023
Communicated by : Professor Suayip Yuzbasi
The past two decades witnessed Cholera outbreaks in several countries, such as Zimbabwe, Nigeria, DRC, South Sudan and Yemen. In this paper, we consider a system of four delay differential equations model of cholera outbreak with two time delays. These time delays represent incubation periods of vibrio cholerae transmitted indirectly from environment to human or directly from human to human. The model is analyzed and the stability properties have been concluded. Finally, numerical simulations are carried out to case of cholera outbreak in Zimbabwe. The results obtained show that neither of the delays leads to periodic oscillations.
cholera disease, delay differential equations, Holling type II, Hopf bifurcation, stability analysis.
