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

被引：54
作者：
Kassa, Semu Mitiku [1 ]
Ouhinou, Aziz [2 ]
机构：
[1] Univ Addis Ababa, Dept Math, Addis Ababa, Ethiopia
[2] Univ Sultane Moulay Slimane, Fac Sci & Technol, Dept Math, Beni Mellal, Morocco
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2015年 / 70卷 / 1-2期
关键词：
Dynamical systems; Epidemiological models; Infectious diseases; Behaviour change; Optimal control; EPIDEMIOLOGIC MODELS; HUMAN-BEHAVIOR; PUBLIC-HEALTH; TRANSMISSION; HIV; VACCINATION; DIFFUSION;
D O I：
10.1007/s00285-014-0761-3
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：213 / 236
页数：24
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