A model for tuberculosis (TB) that includes immigration of susceptible and infected individuals is presented and analyzed. Infected individuals are structured by time since infection to include a long and variable latency period, and individuals with active TB have an increased mortality rate. Two control problems are formulated and analyzed, minimizing the impact of infection by controlling infected immigrants and/or screening for detection and treatment of infected individuals before they develop active TB.
- Mathematical modeling
- Partial differential equations
ASJC Scopus subject areas
- Applied Mathematics