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韩国间日疟原虫疟疾传播的最优控制策略

Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea.

作者信息

Kim Byul Nim, Nah Kyeongah, Chu Chaeshin, Ryu Sang Uk, Kang Yong Han, Kim Yongkuk

机构信息

Department of Mathematics, Kyungpook National University, Daegu, Korea.

出版信息

Osong Public Health Res Perspect. 2012 Sep;3(3):128-36. doi: 10.1016/j.phrp.2012.07.005.

Abstract

OBJECTIVE

To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea.

METHODS

A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically.

RESULTS

If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies.

CONCLUSION

Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.

摘要

目的

研究韩国间日疟原虫疟疾传播的最优控制策略。

方法

提出一个使用确定性微分方程组且带有最优控制项的间日疟原虫疟疾传播模型,并进行数学和数值分析。

结果

如果降低蚊虫种群繁殖率的成本高于减少蚊虫与人类接触的预防措施成本,与其他情况相比,就需要对减少蚊虫与人类接触进行更长时间的控制。更多关于控制干预措施实际效果和成本的知识将产生更现实的控制策略。

结论

数学模型和数值模拟表明,在某些情况下使用减少蚊虫的策略比个人防护更有效,但并非总是如此。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2b41/3738709/71735a64d5f8/EPHRP1-03-128-g001.jpg

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