کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471119 698595 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Malaria dynamics with long incubation period in hosts
ترجمه فارسی عنوان
پوسته شدن مالاریا با دوره انکوباسیون طولانی در میزبان
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

Motivated by the empirical observation of the bimodal distribution of the incubation time of P. vivax   in Korea, we analyze a mathematical model for malaria transmission dynamics that features two distinct exposed classes in the human population. The short-term incubation period is modeled by exponential distribution, while it is assumed that the long-term incubation period has fixed length. Then we formulate the model as a system of delay differential equations. We identify the basic reproduction number R0R0 and show that it is a threshold parameter for the global dynamics of the model. If R0≤1R0≤1, the disease-free equilibrium is globally attractive, while the disease uniformly persists in the human and mosquito populations when R0>1R0>1. Furthermore, for the special case of lifelong immunity, we prove that the endemic equilibrium is globally asymptotically stable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 9, November 2014, Pages 915–930
نویسندگان
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