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Modelling Foot and Mouth Disease in the Context of Active Immigrants

Journal of Applied Mathematics and Physics 2024年第1期12卷 147-167页

作者： Issa Shabani Mfinanga Nyimvua Shaban theresia marijani Department of Mathematics University of Dar es Salaam Dar es Salaam Tanzania Department of Mathematics and Statistics Sokoine University of Agriculture Morogoro Tanzania

This study employs mathematical modeling to analyze the impact of active immigrants on Foot and Mouth Disease (FMD) transmission dynamics. We calculate the reproduction number (R0) using the next-generation matrix approach. Applying the Routh-Hurwitz Criterion, we establish that the Disease-Free Equilibrium (DFE) point achieves local asymptotic stability when R0 α1 and α2) are closely associated with reduced susceptibility in animal populations, underscoring the link between immigrants and susceptibility. Furthermore, our findings emphasize the interplay of disease introduction with population response and adaptation, particularly involving incoming infectious immigrants. Swift interventions are vital due to the limited potential for disease establishment and rapid susceptibility decline. This study offers crucial insights into the complexities of FMD transmission with active immigrants, informing effective disease management strategies.

关键词： Next-Generation Matrix Approach Routh-Hurwitz Quadratic Lyapunov Function Active Immigrants Reproduction Number Analysis

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

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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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