Abstract
Dengue is one of the most prevalent viruses transmitted by mosquitoes where increasing incidence and severity claim severe social burden. This virus is common throughout the tropics and subtropics. Dengue is a virus which propagated during the day and thus the mobility of humans can cause it to spread quickly. In this paper, we introduce mobility of humans between two neighboring areas into a mathematical model for the transmission of dengue. Dengue transmission is modeled using the classical SIR model. Simulations have been carried under four cases to compare the impact of human mobility to propagate the dengue disease. These cases are based on existence of dengue and human mobility direction regarding neighboring area. Numerical simulations are carried out using Matlab routine ode 45.
Highlights
Dengue fever is reported throughout the nineteenth and early twentieth centuries in the America, Southern Europe, North Africa, the eastern Mediterranean, Asia, Australia, and on various islands in the Indian Ocean, the south, central Pacific and the Caribbean
We begin by assuming that region C1 consists of dengue patients whereas region C2 is free of infected human under these conditions, we consider the effect of mobility from region C2 to region C1
We study the impact of human mobility effect to dengue dynamics under four cases
Summary
Dengue fever is reported throughout the nineteenth and early twentieth centuries in the America, Southern Europe, North Africa, the eastern Mediterranean, Asia, Australia, and on various islands in the Indian Ocean, the south, central Pacific and the Caribbean. It is named in 1779 and the first recorded epidemics is occurred in Asia, Africa and North America in the 1780s [12]. This paper is an attempt to investigate and model the impact of human mobility to spread of dengue in two neighboring cities or regions
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