کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898843 1631502 2018 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates
ترجمه فارسی عنوان
دینامیک و پروفیل یک سیستم پاتوژن میزبان پراکنده با نرخ پراکندگی متمایز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper, we investigate a diffusive host-pathogen model with heterogeneous parameters and distinct dispersal rates for the susceptible and infected hosts. We first prove that the solution of the model exists globally and the model system possesses a global attractor. We then identify the basic reproduction number R0 for the model and prove its threshold role: if R0≤1, the disease free equilibrium is globally asymptotically stable; if R0>1, the solution of the model is uniformly persistent and there exists a positive (pathogen persistent) steady state. Finally, we study the asymptotic profiles of the positive steady state as the dispersal rate of the susceptible or infected hosts approaches zero. Our result suggests that the infected hosts concentrate at certain points which can be characterized as the pathogen's most favoured sites when the mobility of the infected host is limited.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 8, 15 April 2018, Pages 4989-5024
نویسندگان
, ,