کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501609 1338757 2005 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global behavior of a multi-group SIS epidemic model with age structure
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global behavior of a multi-group SIS epidemic model with age structure
چکیده انگلیسی
We study global dynamics of a system of partial differential equations. The system is motivated by modelling the transmission dynamics of infectious diseases in a population with multiple groups and age-dependent transition rates. Existence and uniqueness of a positive (endemic) equilibrium are established under the quasi-irreducibility assumption, which is weaker than irreducibility, on the function representing the force of infection. We give a classification of initial values from which corresponding solutions converge to either the disease-free or the endemic equilibrium. The stability of each equilibrium is linked to the dominant eigenvalue s(A), where A is the infinitesimal generator of a “quasi-irreducible” semigroup generated by the model equations. In particular, we show that if s(A)<0 then the disease-free equilibrium is globally stable; if s(A)>0 then the unique endemic equilibrium is globally stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 218, Issue 2, 15 November 2005, Pages 292-324
نویسندگان
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