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- W2970896178 abstract "A fatal and infectious called Dengue found in the tropical zone of the world is a mosquito-borne and caused by four viruses namely Den 1-Den 4. The transmission is achieved from one person to another via a bite of female adult Aedes mosquitoes. The dynamic of spread does not really follow the Markovian process therefore does have memory effect, thus can well be described by using nonlocal differential operators with non-singular and non-local kernel as these operators have a crossover from exponential decay law to power law as waiting time distribution. In this chapter, we reverted the classical model to fractional model by using the concept of recently established fractional differential operators known as the Caputo-Fabrizio derivative. To include into mathematical system the memory and the crossover effects. The new model was subjected to analysis of existence and uniqueness of the system solution to insure the well poseness of the modified system. Due to the complexity of the new system, a newly introduced numerical scheme was used to solve the system and some numerical simulations where performed to see the effect of the Mittag-Leffler law that brings the crossover effect." @default.
- W2970896178 created "2019-09-05" @default.
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- W2970896178 date "2019-01-01" @default.
- W2970896178 modified "2023-10-16" @default.
- W2970896178 title "Biological Model of Dengue Spread with Non-Markovian Properties" @default.
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- W2970896178 doi "https://doi.org/10.1007/978-981-13-9608-3_13" @default.
- W2970896178 hasPublicationYear "2019" @default.
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