Sensitivity analysis of a model of Japanese encephalitis transmission

Japanese Encephalistis (JE) is an endemic disease in Asia and the most important cause of human encephalitis in several Asian regions and the pacific. The first case of JE was documented in 1870 in Japan and was isolated for the first time in Tokyo in 1934. It is estimated that 3 billion of people are living in countries where the disease is endemic. The annual incidence of JE is estimated between 30000 and 50000 cases with 10,000 to 15,000 deaths annually. Japanese encephalitis virus is a flavivirus of the family of flaviviridae, such as the viruses of the dengue, yellow fever and West Nile. It is an arthropod-borne-virus (arbovirus) transmitted from animal to human by mosquitoes. Wild birds (aigrettes, herons) and domestic birds (ducks, chickens) are the naturals hosts, pigs are the amplifier hosts, humans and horses are accidental hosts, i.e. they can contracted the disease, but they can not transmit the virus to the mosquitoes. We have developed a generic mathematical model of JE transmission and determined the basic reproduction number, R0. R0 is defined as the number of secondary infections caused by a single infection of the same type (vector or host) during its infectious period in an entirely susceptible population. R0 is a threshold value in the model. If R0 < 1 the disease can not invade the population. If R0 > 1, then the disease can invade the population. Therefore, to control the spread of JE we must reduce R0 below 1. In some cases, for an infectious disease transmitted between at least two types of hosts, the R0 can be misleading when we want to control the disease. So, we have determined the type-reproduction number T for disease such as JE. T is used to determine the control effort required to eliminate an infectious disease when control is applied to a specific sub population of hosts. In this work, we present three sensitivity analysis. The first one on the parameters of the model, the second one on the basic reproduction number R0 and the third one on the type-reproduction number T. The results of the first sensitivity analysis will be use to identify the parameters we should know with precision and will determine the future field experiments we have to conduct to measure those parameters. The sensitivity analysis on R0 and T will be used to determine the important parameters to control the disease, and how sensitive the spread of the disease can be regarding the control.

Bibliographic Details

Main Author:	Diallo, Alpha Oumar II
Format:	conference_item biblioteca
Language:	eng
Published:	IMT
Subjects:	000 - Autres thèmes, L73 - Maladies des animaux,
Online Access:	http://agritrop.cirad.fr/580169/ http://agritrop.cirad.fr/580169/7/ID580169.pdf
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