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Modeling the role of public health education in Ebola virus disease outbreaks in Sudan

Infectious Disease Modelling 2017年第3期2卷 323-340页

作者： Benjamin Levy Christina Edholm Orou Gaoue Roselyn Kaondera-Shava Moatlhodi Kgosimore Suzanne Lenhart Benjamin Lephodisa Edward Lungu Theresia Marijani Farai Nyabadza Department of Mathematics Fitchburg State UniversityUSA Department of Mathematics University of TennesseeUSA Department of Botany University of HawaiiUSA Department of Mathematics University of BotswanaBotswana Department of Mathematics Botswana International University of Science and TechnologyBotswana Department of Mathematics University of Dar es SalaamTanzania Department of Basic Sciences Botswana University of Agriculture and Natural ResourcesBotswana Department of Mathematics University of StellenboschSouth Africa

public involvement in Ebola Virus Disease(EVD)prevention efforts is key to reducing disease *** education through practical health information to particular groups and sub-populations is crucial to controlling the *** this paper,we study the dynamics of Ebola virus disease in the presence of public health education with the aim of assessing the role of behavior change induced by health education to the dynamics of an *** power of behavior change is evident in two outbreaks of EVD that took place in Sudan only 3 years *** first occurrence was the first documented outbreak of EVD and produced a significant number of *** second outbreak produced far fewer cases,presumably because the population in the region learned from the first *** derive a system of ordinary differential equations to model these two contrasting *** the population in Sudan learned from the first outbreak of EVD and changed their behavior prior to the second outbreak,we use data from these two instances of EVD to estimate parameters relevant to two contrasting *** then simulate a future outbreak of EVD in Sudan using our model that contains two susceptible populations,one being more informed about *** finding show how a more educated population results in fewer cases of EVD and highlights the importance of ongoing public health education.

关键词： Ebola virus disease public health education Outbreaks Mathematical model Simulations Infectious disease model

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The analysis of a drug transmission model with family education and public health education

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Infectious Disease Modelling 2018年第1期3卷 74-84页

作者： Jun Li Mingju Ma School of Mathematics and Statistics Xidian UniversityXi'an710071PR China School of Science Xi'an Polytechnic UniversityXi'an710048PR China

In this paper,we formulate a six dimensional drug transmission model to study the effect of family education and public health *** dynamical behaviors of the model are discussed in terms of the basic reproduction number *** constructing Lyapunov functions,we obtain the drug-free equilibrium is globally asymptotically stable if R0≤1 and the drug addiction equilibrium is globally asymptotically stable if R0>*** analyses are performed to seek for effective control measures for drug *** analysis show that both the family and public health education can influence the spread of drug ***,the combination of family and public health education is more effective to reduce the prevalence of *** numerical simulations are given to confirm the obtained theoretical results.

关键词： Drug model Basic reproduction number public health education Sensitivity Stability

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