Conveners
Epidemiology, vaccine & intervention strategies
- Katharine Gurski (Howard University)
A structured population model is described and analyzed, in which individual dynamics is stochastic. The model consists of a PDE of advection-diffusion type in the structure variable. The population may represent, for example, the density of infected individuals structured by pathogen density $x$, $x\ge0$. The individuals with density $x=0$ are not infected, but rather susceptible or...
Waning immunity is known to occur for some infectious diseases after natural infection and vaccination. We present a susceptible-infectious-recovered-susceptible (SIRS)-type transmission model that includes the waning and boosting of immunity. We study how the infection prevalence changes with differences in (i) the durations of infection- and vaccine-acquired immunity and (ii) the assumed...
Rotavirus is a viral disease - mainly transmitted by the fecal-oral mode - that is the leading cause of severe acute gastroenteritis among infants and children less than 5 years of age. The symptoms vary from mild to severe diarrhea with fever and vomiting that may produce rapid dehydration. In most of the cases, severe symptoms require hospitalization and eventually can lead to death.
There...
In recent years vaccination studies have led to greater understanding and improvements on the development and distribution of vaccines, especially with respect to certain childhood diseases. However, while current vaccination campaigns strive to achieve herd immunity (a critical threshold of ‘immune’ individuals needed to protect an entire population from infection), eradication has not been...
In this talk, we will present several mathematical models of tuberculosis (TB) based on the reported data in the Republic of Korea and Philippines, and also propose the optimal treatment strategies depending on the various scenarios in each country. Korea has ranked the highest TB incidence among members of the Organization for Economic Cooperation and Development (OECD). TB is the sixth...
Some northern communities in Canada see inordinately high tuberculosis incidence compared to the rest of the country. Most of the affected locations are isolated First Nations communities and while this means that the usual argument of tuberculosis as an indicator disease of poverty is applicable, it does not explain the specifics of the situation. To try to understand the role of the various...