{"title":"Mathematical Model of Dengue Disease with the Incubation Period of Virus","authors":"P. Pongsumpun","country":null,"institution":"","volume":20,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":535,"pagesEnd":540,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/2061","abstract":"Dengue virus is transmitted from person to person\r\nthrough the biting of infected Aedes Aegypti mosquitoes. DEN-1,\r\nDEN-2, DEN-3 and DEN-4 are four serotypes of this virus. Infection\r\nwith one of these four serotypes apparently produces permanent\r\nimmunity to it, but only temporary cross immunity to the others. The\r\nlength of time during incubation of dengue virus in human and\r\nmosquito are considered in this study. The dengue patients are\r\nclassified into infected and infectious classes. The infectious human\r\ncan transmit dengue virus to susceptible mosquitoes but infected\r\nhuman can not. The transmission model of this disease is formulated.\r\nThe human population is divided into susceptible, infected, infectious\r\nand recovered classes. The mosquito population is separated into\r\nsusceptible, infected and infectious classes. Only infectious\r\nmosquitoes can transmit dengue virus to the susceptible human. We\r\nanalyze this model by using dynamical analysis method. The\r\nthreshold condition is discussed to reduce the outbreak of this\r\ndisease.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 20, 2008"}