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Full-Text Articles in Applied Mathematics

Collaboration And Health Care Diagnostics: An Agent Based Model Simulation, Sebastian Linde, George K. Thiruvathukal Aug 2015

Collaboration And Health Care Diagnostics: An Agent Based Model Simulation, Sebastian Linde, George K. Thiruvathukal

George K. Thiruvathukal

This paper presents a simple ABM simulation that seeks to provide insight into the public health benefits that derive from greater collaboration among health care professionals. In particular, the paper compares the efficiency, delivery and timeliness of health care diagnostics under two contrasting paradigms–one in which collaboration is encouraged, and an- other where it is not. The preliminary results of this study suggest that while the effect of cooperation on aggregate public health depends on the patient search algorithm employed, its effect on overall efficiency and timeliness of health care diagnostics and treatment is significant and pos- itive. Since the …


Multistrain Infections In Metapopulations, Sydney Garmer, Rachel Lynn, Dan Rossi, Alex Capaldi Dec 2014

Multistrain Infections In Metapopulations, Sydney Garmer, Rachel Lynn, Dan Rossi, Alex Capaldi

Alex Capaldi

Viruses and bacteria responsible for infectious diseases often mutate and are carried between geographical regions. We consider a mathematical model which begins to account for these factors. We assume two disjoint populations that only occasionally co-mingle and two strains of a disease present in these populations. Of interest are the equations describing the dynamics of this system, the conditions under which epidemics will occur, and the long term behavior of the system under various initial conditions. We fi#12;nd general conditions
under which a state of disease-free equilibrium is stable. Additionally, we #12;find existence of a biologically relevant equilibrium where two …