A Model of Perfect Pediatric Vaccination of Dengue with Delay and Optimal Control

Yanan Xue, L. Nie
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Abstract

A delayed mathematical model of Dengue dynamical transmission between vector mosquitoes and human, incorporating a control strategy of perfect pediatric vaccination is proposed in this paper. By some analytical skills, we obtain the existence of disease-free equilibria and endemic equilibrium, the necessary conditions of global asymptotical stability about two disease-free equilibria. Further, by Pontryagin’s maximum principle, we obtain the optimal control of the disease. Finally, numerical simulations are carried out to verify the correctness of the theoretical results and feasibility of the control measure.
具有延迟和最优控制的登革热儿童完美疫苗接种模型
本文提出了登革热媒介蚊与人动态传播的延迟数学模型,并结合完善的儿童疫苗接种控制策略。利用一些分析技巧,我们得到了无病平衡点和地方病平衡点的存在性,以及这两个无病平衡点全局渐近稳定的必要条件。进一步,利用庞特里亚金极大值原理,得到了疾病的最优控制。最后进行了数值仿真,验证了理论结果的正确性和控制措施的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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