Presentation Format
Poster Presentation
Start Date
21-5-2016 5:30 PM
End Date
21-5-2016 8:00 PM
Location
Cabell Library Rm 303
Category
Other
Included in
May 21st, 5:30 PM
May 21st, 8:00 PM
Two-patch Metapopulation Model of a Tick-borne Disease
Cabell Library Rm 303
Comments
Lyme disease is one that is spread through the bite of an infected tick causing a range of symptoms including: fever, rash, facial palsy and severe joint pain. In order minimize the number of people that are infected with Lyme disease the amount of infected ticks would also need to be minimized. For this reason, this model looks specifically at groups of susceptible and infected subpopulations of ticks within metapopulations. Adding this extra subpopulation within a patch is important because it explains the population dynamics more realistically by having susceptible and infected ticks in each patch. A previous paper, Global Attracting Equilibria for Coupled Systems with Ceiling Density Dependence, created a two-patch model with a specified carrying capacity to see long-term behavior between metapopulations of llamas. This model was adapted by adding extra subpopulations and a disease dynamic to see how the environmental obstacle would affect the spread of the disease.