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

页码：213 / 236

页数：24