کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222018 1470386 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global dynamics of an SIR epidemic model with nonlocal diffusion
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global dynamics of an SIR epidemic model with nonlocal diffusion
چکیده انگلیسی
In this paper, we are concerned with the global asymptotic stability of each equilibrium of an SIR epidemic model with nonlocal diffusion. Under the assumption of Lipschitz continuity of parameters, the eigenvalue problem associated with the linearized system around the disease-free equilibrium has a principal eigenvalue corresponding to a strictly positive eigenfunction. By setting the eigenfunction as the integral kernel of a Lyapunov function, we prove the global asymptotic stability of the disease-free equilibrium when the basic reproduction number R0 is less than one. We also prove the uniform persistence of the system when R0>1 by using the persistent theory for dynamical systems. Furthermore, in a special case where the dispersal rate for susceptible individuals is equal to zero, we prove the existence, uniqueness and global asymptotic stability of the endemic equilibrium when R0>1 by constructing a suitable Lyapunov function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 43, October 2018, Pages 262-282
نویسندگان
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