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Model for the Vaccination against the Poliomyelitis

Model for the Vaccination against the Poliomyelitis

作     者:Irene Duarte Gandica Lina Marcela Ocampo Edwin Femando Duque Matin Maria Mercedes Gonzáilez 

作者机构:Escuela de Investigación en Biomatemótica Universidaddel Quindio Armenia Quindio 630001 Colombia Grupo GYMOL Universidaddel Quindlo Armenia Quindlo 630001 Colombia 

出 版 物:《Journal of Mathematics and System Science》 (数学和系统科学(英文版))

年 卷 期:2013年第3卷第2期

页      面:62-67页

学科分类:090603[农学-临床兽医学] 08[工学] 09[农学] 0906[农学-兽医学] 0815[工学-水利工程] 

主  题:脊髓灰质炎病毒 疫苗接种 数学模型 中枢神经系统 灭活疫苗 急性感染 接种疫苗 流通过程 

摘      要:The poliomyelitis is an acute infection produced by the polio virus that affects the human central nervous system. It is transmitted by fecal-oral and respiratory contact. There are two types of vaccine, OPV (live attenuated virus) and IPV (inactivated polio virus). Currently, there is a plan of vaccination until the age of 5 with OPV. The children vaccinated expel a virus (derived from the vaccine) to the environment, and some of the people that have oral contact with them, get vaccinated by the herd behavior. Nevertheless, taking into account the lately observed facts about the reversion to virulence of the oral polio vaccine during its circulation in the environment, a change in the current vaccination schedule is being contemplated, where the oral polio vaccine can be replaced by the inactivated vaccine. Nowadays, In Colombia the inactivated oral polio vaccine is recommended for children presenting immune deficiency who are vaccinated with IPV. These children do not expel poliovirus to the environment. This work presents a mathematical model that describes the dynamics of the infection in a population where the two types of vaccination are carried out. The population is divided into two groups of age and Michaelis-Menten interactions. Different strategies of vaccination are simulated and analyzed.

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