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 (R<sub>0</sub>) using the nex...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 (R<sub>0</sub>) 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 R<sub>0</sub> α<sub>1</sub> and α<sub>2</sub>) 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.展开更多
Public involvement in Ebola Virus Disease(EVD)prevention efforts is key to reducing disease outbreaks.Targeted education through practical health information to particular groups and sub-populations is crucial to cont...Public involvement in Ebola Virus Disease(EVD)prevention efforts is key to reducing disease outbreaks.Targeted education through practical health information to particular groups and sub-populations is crucial to controlling the disease.In 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 outbreak.The power of behavior change is evident in two outbreaks of EVD that took place in Sudan only 3 years apart.The first occurrence was the first documented outbreak of EVD and produced a significant number of infections.The second outbreak produced far fewer cases,presumably because the population in the region learned from the first outbreak.We derive a system of ordinary differential equations to model these two contrasting behaviors.Since 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 behaviors.We then simulate a future outbreak of EVD in Sudan using our model that contains two susceptible populations,one being more informed about EVD.Our finding show how a more educated population results in fewer cases of EVD and highlights the importance of ongoing public health education.展开更多
文摘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 (R<sub>0</sub>) 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 R<sub>0</sub> α<sub>1</sub> and α<sub>2</sub>) 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.
基金This research was conducted as part of the Masamu Advanced Study Institute(MASI),which is funded by NSF grant number 1343651.
文摘Public involvement in Ebola Virus Disease(EVD)prevention efforts is key to reducing disease outbreaks.Targeted education through practical health information to particular groups and sub-populations is crucial to controlling the disease.In 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 outbreak.The power of behavior change is evident in two outbreaks of EVD that took place in Sudan only 3 years apart.The first occurrence was the first documented outbreak of EVD and produced a significant number of infections.The second outbreak produced far fewer cases,presumably because the population in the region learned from the first outbreak.We derive a system of ordinary differential equations to model these two contrasting behaviors.Since 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 behaviors.We then simulate a future outbreak of EVD in Sudan using our model that contains two susceptible populations,one being more informed about EVD.Our finding show how a more educated population results in fewer cases of EVD and highlights the importance of ongoing public health education.
