지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.28 No.4
- 발행연도
- 2024.12
- 수록면
- 190 - 209 (20page)
이용수
초록· 키워드
오류제보하기
his research aims to suppress the birth rate and increase the mortality of mites to reduce the infection risk. We used an approach using optimal control to reduce the population of mites. The control intervenes by reducing the birth and increasing the mortality of mites and by reducing contact with mites and rodents. The basic reproduction number R<sub>0</sub> was obtained, and the sensitivity to each parameter was investigated. We applied Pontryagin’s maximum principle to explore an optimal control strategy to minimize the mite population. Controls were interventions with insecticides. Insecticide spraying to reduce the mite population should be conducted during the initial stages, and control to reduce contact with the host should be continuously implemented. We investigate the optimal control and the cost calculated using the modified average cost-effectiveness ratio (mACER). Both the optimal control and the cost of mACER were better for A₁ = 0.1, A₂ = 3 than A₁ = 0.01, A₂ = 0.1 for each control.
목차
ABSTRACT
1. INTRODUCTION
2. MATHEMATICAL MODEL
3. OPTIMAL CONTROL APPROACH
4. NUMERICAL SIMULATION
5. RESULTS AND DISCUSSION
REFERENCES
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