Selection and mutation in X-linked recessive diseases epidemiological model

被引:0
|
作者
Verrilli, Francesca [1 ]
Kebriaei, Hamed [2 ]
Glielmo, Luigi [1 ]
Corless, Martin [3 ]
Del Vecchio, Carmen [1 ]
机构
[1] Univ Sannio, Dipartimento Ingn, Benevento, Italy
[2] Univ Tehran, Engn Coll, Sch Elect & Comp Engn, Tehran, Iran
[3] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA
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中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
To describe the epidemiology of X-linked recessive diseases we developed a discrete time, structured, non linear mathematical model. The model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual's health conditions). Applying Lyapunov direct method we found the domain of attraction of model's equilibrium point and studied the convergence properties of the degenerate equilibrium where only affected individuals survive.
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页码:3993 / 3996
页数:4
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