Title
Stability And Sensitivity Analysis Of An Epidemiological Model Of Genetic Diseases
Abstract
The epidemiology of X-linked recessive diseases, a class of genetic disorders, has been modeled through a discrete time, structured, mathematical system. The model accounts for both de novo mutations and distinct reproduction rates of procreating couples depending on their health conditions. Relying on Lyapunov's and LaSalle method, asymptotic stability properties of model equilibrium points have been proved. Model' sensitivity analysis has also been carried out to quantify the influence of model's parameters on system's response. The model allows to predict the spread over time in the population of any recessive genetic disorder transmitted through the X Chromosome.
Year
Venue
Keywords
2015
2015 EUROPEAN CONTROL CONFERENCE (ECC)
sensitivity analysis,sociology,genetics,mathematical model,statistics
Field
DocType
Citations 
Genetic disorder,Applied mathematics,Lyapunov function,Population,Demography,Equilibrium point,Exponential stability,Discrete time and continuous time,Dominance (genetics),X chromosome
Conference
0
PageRank 
References 
Authors
0.34
3
4
Name
Order
Citations
PageRank
Carmen Del Vecchio1196.75
francesca verrilli251.56
Luigi Glielmo39430.35
Martin Corless4349.52