학술논문

Optimal control analysis of bluetongue virus transmission in patchy environments connected by host and wind-aided midge movements
Document Type
Original Paper
Source
Journal of Applied Mathematics and Computing. 68(3):1949-1978
Subject
Bluetongue virus
Multi-patch
Control strategies
Optimal control theory
Cost-effective
34
92
Language
English
ISSN
1598-5865
1865-2085
Abstract
Bluetongue, a midge-borne disease of ruminants caused by the bluetongue virus (BTV) can rapidly spread from one region (patch) to another by host and/or midge movements, making its control difficult. A multi-patch deterministic model for BTV is formulated and analysed to evaluate the effectiveness of vaccination, quarantine, insecticide spraying and the use of repellent control strategies in reducing the within and between-patches transmission. By using optimal control theory, the effectiveness of these strategies is established. Incremental cost-effectiveness ratios are calculated to determine the most cost-effective strategy. In a single patch, vaccination, insecticide spraying and the use of repellents are all highly effective in minimising transmission, but the most cost-effective is vaccination. In patches connected by host and midge movements, if any of these controls is applied in a high-risk patch, a disease-free status is achieved in both patches, but if implemented in a low-risk patch, it is not attained in any patch. If hosts and midges move, quarantine has no effect, but for no midge movement, the effect can be large in a low-risk patch if it’s internally imposed.