Related Experiment Video
Updated: Jul 31, 2026

An Experimental Model to Study Tuberculosis-Malaria Coinfection upon Natural Transmission of Mycobacterium tuberculosis and Plasmodium berghei
Published on: February 18, 2014
Models for transmission of disease with immigration of infectives
F Brauer1, P van den Driessche
1Department of Mathematics, University of British Columbia, Vancouver, BC, Canada V6T 1Z2. brauer@math.ubc.ca
Abstract:
Simple models for disease transmission that include immigration of infective individuals and variable population size are constructed and analyzed. A model with a general contact rate for a disease that confers no immunity admits a unique endemic equilibrium that is globally stable. A model with mass action incidence for a disease in which infectives either die or recover with permanent immunity has the same qualitative behavior. This latter result is proved by reducing the system to an integro-differential equation. If mass action incidence is replaced by a general contact rate, then the same result is proved locally for a disease that causes fatalities. Threshold-like results are given, but in the presence of immigration of infectives there is no disease-free equilibrium. A considerable reduction of infectives is suggested by the incorporation of screening and quarantining of infectives in a model for HIV transmission in a prison system.
More Related Videos
Related Concept Videos
Infection
The chain begins with pathogens: bacteria, viruses, fungi, prions, or parasites such as protozoa helminths. These can be present on the skin as transient or resident flora, or they can be acquired from the environment. Identifying and treating the type of infection and...
Steps in Outbreak Investigation
Infectious Diseases and Their Occurrence
Reservoir of Infection
Transmission of Pathogens
Amebiasis

