期刊
MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 18, 期 2, 页码 1314-1339出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2021069
关键词
large-scale time control; limited-time control; impulsive release; release timing; release amount
资金
- National Natural Science Foundation of China [12071407, 11901502, 11871415]
- Training plan for young backbone teachers in Henan Province [2019GGJS157]
- Foundation of Henan Educational Committee [21A110022]
- Program for Science & Technology Innovation Talents in Universities of Henan Province [21HASTIT026]
- Scientific and Technological Key Projects of Henan Province [212102110025]
- Nanhu Scholars Program of XYNU
- Nanhu Scholars Program for Young Scholars of XYNU
This paper proposes a two-sex mosquito population model with stage structure and impulsive releases of sterile males to study large-scale time control and limited-time control of mosquito population in a field. Important conclusions are obtained regarding optimal release timing control being superior to optimal release amount control, while simultaneous optimal selection of release amount and release timing leads to the best control performance.
In this paper, to study the large-scale time control and limited-time control of mosquito population in a field, a two-sex mosquito population model with stage structure and impulsive releases of sterile males is proposed. For the large-scale time control, a wild mosquito-free periodic solution is given and conditions under which it is globally stable are obtained by the use of the monotone system theory. Besides, based on the stability analysis, threshold conditions under which the wild mosquito population is eliminated or not are obtained. Then we study three different optimal release strategies for the limited-time control, which takes into account both of the population control level of wild mosquitoes and the economic input. To solve technical problems in optimal impulsive control, a time rescaling technique is applied and the gradients of cost function with respect to all control parameters are obtained. In addition, by the aid of numerical simulation, we get the optimal release amounts and release timings for each release strategy. Our study indicates that the optimal release timing control is superior to the optimal release amount control. However, simultaneous optimal selection of release amount and release timing leads to the best control performance.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据