کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5024392 1470390 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The impact of human activity on the risk index and spatial spreading of dengue fever
ترجمه فارسی عنوان
تأثیر فعالیت بشر بر شاخص ریسک و گسترش فضایی تب دنگی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
To understand how human diffusion and media coverage affect the dynamics of dengue fever epidemiology, we propose a SIR v.s. SI dengue model with a nonlinear contact transmission rate. The free boundaries are also introduced to describe the expanding fronts of the contaminated area caused by the dengue virus. With the help of the basic reproduction number for a relevant problem, we establish the spatio-temporal risk index associated with the diffusive coefficient and media index for our model. Furthermore, some sufficient conditions are obtained to guarantee dengue fever to vanish or to spread, and the asymptotic behavior of the solution for a special system is also discussed when spreading happens. Our results indicate that the degrees of human diffusion and mass media propaganda play an essential role in dengue fever control and prevention. Some numerical simulations, which illustrate the impacts of human activity, are carried out to confirm our analytical findings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 39, February 2018, Pages 424-450
نویسندگان
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