A time-delayed epidemic model for Ebola disease transmission

作者：Al Darabsah Isam; Yuan Yuan^*

来源：Applied Mathematics and Computation, 2016, 290: 307-325.

DOI：10.1016/j.amc.2016.05.043

• Time-delay
• Differential equation
• Dynamics
• Stability
• Persistence

In this paper, we propose a delayed mathematical model for the transmission of Ebola in humans. We consider the transmission of infection between the living humans and from infectious corpses to the living individuals in which the latent period of Ebola is incorporated. We identify the basic reproduction number R-0 for the model, prove that the disease-free equilibrium is always globally asymptotically stable when R-0 < 1, the disease is persistence and a unique endemic equilibrium exists when R-0 > 1. We show that the endemic steady state is locally asymptotically stable under certain condition and globally asymptotically stable in a special case of the model. Numerical simulations are provided to demonstrate and complement the theoretical results.

• 出版日期2016-11-1