Derdei Bichara

SIS and SIR Epidemic Models Under Virtual Dispersal

We develop a multi-group epidemic framework via virtual dispersal where the risk of infection is a function of the residence time and local environmental risk. This novel approach eliminates the need to define and measure contact rates that are used in the traditional multi-group epidemic models with heterogeneous mixing. We apply this approach to a general n-patch SIS model whose basic reproduction number

Role of short-term dispersal on the dynamics of Zika virus in an extreme idealized environment

{\mathcal {R}}_0

Role of Active and Inactive Cytotoxic Immune Response in Human Immunodeficiency Virus Dynamics

R0 is computed as a function of a patch residence-time matrix

Assessing the Efficiency of Movement Restriction as a Control Strategy of Ebola

{\mathbb {P}}

Multi-stage Vector-Borne Zoonoses Models: A Global Analysis

P. Our analysis implies that the resulting n-patch SIS model has robust dynamics when patches are strongly connected: There is a unique globally stable endemic equilibrium when