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A Delay Differential Equation Model for Dengue Transmission with Regular Visits to a Mosquito Breeding Site

机译:登革热传输的延迟微分方程模型与蚊帐繁殖网站定期访问

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Dengue disease has been known as one of widely transmitted vector-borne diseases which potentially affects millions of people throughout the world especially in tropical and sub-tropical countries. One of the main factors contributing in the complication of the transmission process is the mobility of people in which people may get infection in the places far from their home. Here we construct a delay differential equation model for dengue transmission in a closed population where regular visits of people to a mosquito breeding site out of their residency such as traditional market take place daily. Basic reproductive ratio of the system is obtained and depends on the ratio between the outgoing rates of susceptible human and infective human. It is shown that the increase of mobility with different variation of mobility rates may contribute to different level of basic reproductive ratio as well as different level of outbreaks.
机译:登革热病被称为广泛传播的载体传播疾病之一,可能影响全世界数百万人,特别是在热带和潜水国家。在传播过程中复杂化的主要因素之一是人们可能在远离他们家的地方感染的人的流动性。在这里,我们构建了一个延迟微分方程,以便在封闭的人群中进行登革热传输,其中人们将人们视为蚊子育种网站,例如传统市场每天发生。获得系统的基本生殖比率,取决于易感人和感染性的传出率之间的比率。结果表明,不同迁移率变化的迁移率的增加可能导致不同水平的基本生殖比以及不同水平的爆发。

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