title: The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population.
abstract: A mathematical model for infectious disease epidemics with behaviour change and treatment is formulated and analysed. It is indicated that behaviour modification by the population has a significant impact on the dynamics of the disease. Moreover, an optimal control theory is applied to propose the best possible combination of efforts in controlling a disease. It is shown that it may not be necessary to continuously apply treatment at a full rate to eradicate the disease, if the effort is supported by effective behaviour modification strategies.
authors: Department of Mathematics, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia, semu.mitiku@aau.edu.et.
authors: Semu Mitiku
authors: SM
authors: Kassa
authors: Aziz
authors: A
authors: Ouhinou
mesh_terms: D001521:Behavior Therapy; D001902:Botswana / Q000453:epidemiology; D003141:Communicable Diseases / Q000453:epidemiology* / Q000523:psychology / Q000635:transmission; D003198:Computer Simulation; D058872:Epidemics / Q000517:prevention & control / Q000706:statistics & numerical data; D015658:HIV Infections / Q000453:epidemiology / Q000517:prevention & control / Q000635:transmission; D015438:Health Behavior; D006801:Humans; D017053:Infection Control / Q000379:methods* / Q000706:statistics & numerical data; D055641:Mathematical Concepts; D008954:Models, Biological; D015233:Models, Statistical; D015980:Public Health Practice