81 citations · 160 across the 9 of their papers we have counts for
10 papers · 1 filter
Effects of migration on vector-borne diseases with forward and backward stage progression
Derdei Bichara
Is it possible to break the host-vector chain of transmission when there is an influx of infectious hosts into a naïve population and competent vector? To address this question, a…
Global Analysis of Multi-Host and Multi-Vector Epidemic Models
Derdei Bichara
We formulate a multi-group and multi-vector epidemic model in which hosts' dynamics is captured by staged-progression framework and the dynamics of vectors is captured by an…
Multi-Patch and Multi-Group Epidemic Models: A New Framework
Derdei Bichara, Abderrahman Iggidr
We develop a multi-patch and multi-group model that captures the dynamics of an infectious disease when the host is structured into an arbitrary number of groups and interacts into…
Role of Mobility and Health Disparities on the Transmission Dynamics of Tuberculosis
Victor Moreno, Baltazar Espinoza, Kamal Barley +4
The transmission dynamics of Tuberculosis (TB) involve complex epidemiological and socio-economical interactions between individuals living in highly distinct regional conditions.…
Role of short-term dispersal on the dynamics of Zika virus
Victor Moreno, Baltazar Espinoza, Derdei Bichara +2
In November 2015, El Salvador reported their first case of Zika virus (Zv) leading to an explosive outbreak that in just two months had over 6000 suspected cases. Many communities…
On the Dynamics of Dengue Virus type 2 with Residence Times and Vertical Transmission
Derdei Bichara, Susan A. Holechek, Jorge Velazquez-Castro +2
A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is mode…
Assessing the Efficiency of \textit{Cordon Sanitaire} as a Control Strategy of Ebola
Baltazar Espinoza, Victor Moreno, Derdei Bichara +1
We formulate a two-patch mathematical model for Ebola Virus Disease dynamics in order to evaluate the effectiveness of \textit{cordons sanitaires}, mandatory movement restrictions…
Vector-borne diseases models with residence times - a Lagrangian perspective
Derdei Bichara, Carlos Castillo-Chavez
A multi-patch and multi-group modeling framework describing the dynamics of a class of diseases driven by the interactions between vectors and hosts structured by groups is formula…
SIS and SIR epidemic models under virtual dispersal
Derdei Bichara, Yun Kang, Carlos Castillo-Chavez +2
In this paper, 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…
Global stability for SIR and SIRS models with differential mortality
Phillipe Adda, Derdei Bichara
We consider SIR and SIRS models with differential mortality. Global stability of equilibria is established by using Lyapunov's method