کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11020312 1717383 2019 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A time-periodic dengue fever model in a heterogeneous environment
ترجمه فارسی عنوان
یک مدل تب دیونگو دوره ای در یک محیط ناهمگن
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
The transmission of dengue fever characterizes seasonality and periodicity, in particular, the infection of dengue fever is more serious during the warmer seasons. In this paper, we formulate and study an SIS-SI dengue model associated with the spatial heterogeneity and temporal periodicity. With the help of the spectral radius of next infection operator and eigenvalue problem, we introduce the basic reproduction number R0 of the dengue model. Furthermore, the existence and nonexistence of the positive T-periodic solution are obtained, respectively. The asymptotical stability of T-periodic solution is also investigated. Our analyses reveal that the combination of spatial heterogeneity and temporal periodicity would enhance the persistence of dengue virus in the case of R0>1. Some theoretical results are illustrated by the final numerical simulations and epidemiological explanations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 155, January 2019, Pages 115-129
نویسندگان
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