FUTA JOURNAL OF RESEARCH IN SCIENCE

VOLUME 11 NUMBER 1 2015

Paper Details

  • Title :OPTIMAL CONTROL OF INCIDENCE OF MEDICAL COMPLICATIONS IN A DIABETIC PATIENTS' POPULATION
  • Author(s) : T. T. Yusuf
  • Abstract:

Considering the increasing number of morbidity and mortality associated with diabetes, there is dire need
for a consistent and effective management of patients' living with diabetes in order to ameliorate the social
and economical consequences on the affected individuals and the society at large. We propose a
deterministic model for effective health - management of patients' living with diabetes using the
management of the patients before developing complications and the thorough management of patients
with complications to ensure that they stay out of complications as two different controls strategies. We
formulate a fixed time optimal control problem subject to the model dynamics with the goal of finding the
optimal combination of the control strategies that will minimize the cost of the implementing the proposed
strategies as well as the incidence of complications within the population. We use Pontryagin's maximum
principle to derive the problem optimality system and solve the system numerically. Results from our
simulations are discussed.
Keywords: Diabetes, Optimal control, Pontryagin's maximum principle, Optimality system, Hamiltonian.