| 具有非单调发生率的传染病模型的最优控制 |
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| 作者单位： | ;1.鞍山师范学院数学与信息科学学院;2.鞍山市环境监测中心站 |
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| 摘 要： | 研究了一类具有非单调发生率的SIR传染病模型,采用疫苗接种优化的方法使易感者和染病者个体的数量最小化,且移出者的数量最大化.在非线性最优控制框架下,讨论了最优控制的存在性,通过伴随变量建立最优控制的特征,最后通过数值模拟说明该方法的有效性.
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| 关 键 词： | SIR模型 最优控制 疫苗接种 |
Optimal Control of an Epidemic Model with Non-Monotonic Incidence Rate |
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| Affiliation: | ,School of Mathematics and Information Science, Anshan Normal University,Anshan Municipal Environmental Monitoring Center Station |
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| Abstract: | An SIR epidemic model with non-monotonic incidence rate was studied. In the nonlinear optimal controlframework, the optimal vaccination strategies to minimize the susceptible and infected individuals and to maximize thenumber of recovered individuals were used. The existence of the optimal control was discussed. A characterization of theoptimal control via adjoint variables was established. Finally, some results of numerical results were given to verify theefficiency of the control. |
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| Keywords: | SIR model optimal control vaccination |
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