Related Experiment Video
Updated: Jul 13, 2025

Vibrio cholerae: Model Organism to Study Bacterial Pathogenesis - Interview
Published on: May 28, 2007
Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera
Junyuan Yang1,2, Peiqi Jia3,4, Jin Wang5
1Complex Systems Research Center, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China. yjyang66@sxu.edu.cn.
Abstract:
Cholera is an environmentally driven disease where the human hosts both ingest the pathogen from polluted environment and shed the pathogen to the environment, generating a two-way feedback cycle. In this paper, we propose a bidirectionally linked immuno-epidemiological model to study the interaction of within- and between-host cholera dynamics. We conduct a rigorous analysis for this multiscale model, with a focus on the stability and bifurcation properties of each feasible equilibrium. We find that the parameter that represents the bidirectional connection is a key factor in shaping the rich dynamics of the system, including the occurrence of the backward bifurcation and Hopf bifurcation. Numerical results illustrate a practical application of our model and add new insight into the prevention and intervention of cholera epidemics.
Related Concept Videos
Models of Health Promotion and Illness Prevention II
The agent-host-environment model states that disease results...
Steps in Outbreak Investigation
Causality in Epidemiology
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
Principles of Disease Surveillance
Chemotaxis in E. coli

