Related Experiment Video
Updated: Apr 20, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
The exclusion problem in seasonally forced epidemiological systems
1Computing Science and Mathematics, University of Stirling, Stirling FK9 4LA, Scotland, UK.
This study introduces a holistic control theory framework to address pathogen exclusion problems in ecological systems. The methodology offers a two-stage approach to design effective and acceptable pathogen control strategies.
Area of Science:
- Ecological theory
- Control theory
- Epidemiology
Background:
- Pathogen exclusion is critical for maintaining disease-free ecological systems.
- Conventional control theory is limited in complex, seasonally forced systems.
- Existing methods lack a holistic framework for generalizable pathogen exclusion.
Purpose of the Study:
- To develop a holistic control theory framework for pathogen exclusion.
- To create a coherent methodology for solving the general pathogen exclusion problem.
- To reveal epidemiological consequences of control measures for strategy design.
Main Methods:
- Integration of numerical and algebraic procedures within a holistic control theory framework.
- Development of a two-stage solution procedure to analyze control consequences.
- Application of the methodology to demonstrate time-varying control strategies.
Main Results:
- A powerful methodology for solving the general pathogen exclusion problem.
- Revealed epidemiological consequences of control measures, aiding strategy design.
- Demonstrated how time-varying controls can leverage system dynamics for pathogen exclusion.
Conclusions:
- The holistic framework provides a robust approach to pathogen exclusion in complex systems.
- The two-stage method enhances the design of acceptable and effective exclusion strategies.
- Exploiting system dynamics with time-varying controls can improve pathogen exclusion efficiency.
More Related Videos
Related Concept Videos
Infectious Diseases and Their Occurrence
Causality in Epidemiology
Steps in Outbreak Investigation
Bias in Epidemiological Studies
Statistical Methods for Analyzing Epidemiological Data
Modeling with Differential Equations

