具有疫苗接种和治疗的非自治 SEIRS 模型的最优控制
最优化与控制
2018-06-13 v2 种群与进化
摘要
我们研究了一个非自治 SEIRS 模型的最优控制问题，该模型的发病率由感染者、易感者和总人口的一般函数给出，并以疫苗接种和治疗作为控制变量。我们证明了该问题解的存在性和唯一性结果，并针对质量作用发病率的情形，给出了一些旨在比较自治模型与相应周期模型，以及受控模型与非受控模型的模拟结果。
引用
@article{arxiv.1706.06843,
title = {Optimal control of non-autonomous SEIRS models with vaccination and treatment},
author = {Joaquim P. Mateus and Paulo Rebelo and Silvério Rosa and César M. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1706.06843},
year = {2018}
}
备注
Preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [http://dx.doi.org/10.3934/dcdss.2018067]. Paper Submitted 03-April-2017; Revised 20-June-2017; Accepted 21-June-2017. In this version minor corrections detected during reading of the galley proof were done