Paper Info
Title
A complete epidemiological model of a class of genetic diseases
Abstract
The epidemiology of X-linked recessive diseases, a class of genetic disorders, has been modeled through a discrete time, structured, non linear mathematical system. The model version presented in this paper completely captures the disease epidemiology as it includes the spread of affected women within a population that has not been considered in other works. Moreover the model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and distinct reproduction rates of individuals depending on their health conditions. Among our contributions, we consider the analytical study of the properties of model's equilibrium point, that is the distribution of the population among healthy, carrier and affected subjects, and the proof of the stability properties of the equilibrium point through the Lyapunov method. Model sensitivity analysis has been carried out to quantify the influence of model parameters on system response.
Year
DOI
Venue
2015
10.1109/MED.2015.7158906
Control and Automation
Keywords
Field
DocType
Lyapunov methods,diseases,epidemics,nonlinear systems,stability,Lyapunov method,X-linked recessive diseases,complete epidemiological model,de novo mutations,discrete time system,genetic disorders,model sensitivity analysis,nonlinear mathematical system,stability properties,structured system,epidemiology,genetic diseases,nonlinear system,stability
De novo mutations,Lyapunov function,Population,Disease,Computer science,Epidemiology,Equilibrium point,Sibling,Discrete time and continuous time,Statistics
Conference
ISSN
Citations 
PageRank 
2325-369X
0
0.34
References 
Authors
2
4
Name
Order
Citations
PageRank
francesca verrilli151.56
Del Vecchio, C.221.25
Luigi Glielmo39430.35
Martin Corless4349.52