학술논문

Controlling a non-linear epidemic PDE model with delayed detection: a model simplification approach
Document Type
Conference
Source
2014 European Control Conference (ECC) Control Conference (ECC), 2014 European. :1127-1132 Jun, 2014
Subject
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Sociology
Statistics
Diseases
Animals
Adaptation models
Mathematical model
Optimization
Language
Abstract
This paper investigates the problem of controlling an epidemic spread in an animal flock. The disease is characterized by a long and variable incubation period, during which individuals are infectious but do not show clinical signs. The disease detection is therefore delayed. The epidemic process and population dynamic in the flock are modelled by a system of non-linear integro-differential transport-reaction PDE, structured according to health status, age and time remaining before detection. We show that for realistic parameter values this system can be approximated with guaranteed error bounds by a simpler model, and use this simpler model to design flock management strategies.