The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population

Semu Mitiku Kassa, Aziz Ouhinou

Research output: Contribution to journalArticle

17 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)213-236
Number of pages24
JournalJournal of Mathematical Biology
Issue number1-2
Publication statusPublished - Jan 1 2015


All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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