Kassa Semu Mitiku, Ouhinou Aziz
Department of Mathematics, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia,
J Math Biol. 2015 Jan;70(1-2):213-36. doi: 10.1007/s00285-014-0761-3. Epub 2014 Feb 11.
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.
建立并分析了一个带有行为改变和治疗因素的传染病流行数学模型。结果表明，人群的行为改变对疾病动态有显著影响。此外，应用最优控制理论提出控制疾病的最佳努力组合。结果表明，如果有有效的行为改变策略支持，可能不必持续以全速率进行治疗来根除疾病。
