The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population. (English) Zbl 1312.92038
The authors deal with a mathematical model for infectious disease epidemics with behaviour change and treatment. According to the stability analysis of the system, they point out that behaviour modification by the population has a significant impact on the dynamics of the disease. In addition, an optimal control theory is applied to propose the best possible combination of efforts in controlling the disease.
Reviewer: Hong Zhang (Zhenjiang)
MSC:
| 92D30 | Epidemiology |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 92C60 | Medical epidemiology |
| 49J15 | Existence theories for optimal control problems involving ordinary differential equations |
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
Keywords:
dynamical systems; epidemiological models; infectious diseases; behaviour change; optimal controlReferences:
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