Xin Pei, Erjia Cui, Mingtao Li, Chaojian Shen, Yurong Wei, Jie Wei, Xiaoyun Mi, Wenjun Jing, Juan Zhang, Zhen Jin
{"title":"考虑动物迁移的亚种群网络中布鲁氏菌病的动态建模与控制——以新疆为例","authors":"Xin Pei, Erjia Cui, Mingtao Li, Chaojian Shen, Yurong Wei, Jie Wei, Xiaoyun Mi, Wenjun Jing, Juan Zhang, Zhen Jin","doi":"10.1007/s11538-026-01776-3","DOIUrl":null,"url":null,"abstract":"<p><p>Cross-regional animal transportation is a crucial factor in the spatial transmission of brucellosis, and infections occurring during transportation cannot be overlooked. Clarifying the spatiotemporal transmission patterns of brucellosis under animal transportation mechanisms is of great significance for enabling targeted prevention and control of the disease. Based on data from the Xinjiang Animal Husbandry and Veterinary Big Data Platform, we constructed a directed and weighted sheep transportation network. We established a coupled human-sheep metapopulation model for brucellosis that incorporates infection during animal transportation, thereby providing a more accurate description of brucellosis spread across the metapopulation network. The epidemic threshold was derived theoretically. For the application, a brucellosis transmission model was simulated based on the constructed sheep transportation network in Xinjiang. It was observed that with an increase in transportation rate, epidemic threshold first decreases then increases, indicating that excessively high or low transportation rates should be avoided. Notably, epidemic threshold also increases as the infection rate during transportation rises, which exacerbates brucellosis epidemics in practice, so its potential risks cannot be ignored. For brucellosis control, we first identified key regions and key transportation routes using network centrality, then simulated the control effect with practical control measures. The results demonstrated that strengthening quarantine at checkpoints and reducing sheep transportation between key areas and other regions are more effective than implementing the same measures on critical transportation routes. Specifically, node degree centrality can effectively identify key regions. In early control stage, prioritize reducing internal infection rates through regular quarantine, purification and standardized breeding management; in the middle and late stages, the most effective control is increase culling rate. Our study clarifies the impact of animal transportation and infections occurring during transportation, and analyzes the effectiveness of different control measures from network structure perspective, providing a theoretical basis for brucellosis control in Xinjiang and other regions.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 11","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Modeling and Control of Brucellosis in a Metapopulation Network Considering Animal Transportation: A Case Study of Xinjiang, China.\",\"authors\":\"Xin Pei, Erjia Cui, Mingtao Li, Chaojian Shen, Yurong Wei, Jie Wei, Xiaoyun Mi, Wenjun Jing, Juan Zhang, Zhen Jin\",\"doi\":\"10.1007/s11538-026-01776-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Cross-regional animal transportation is a crucial factor in the spatial transmission of brucellosis, and infections occurring during transportation cannot be overlooked. Clarifying the spatiotemporal transmission patterns of brucellosis under animal transportation mechanisms is of great significance for enabling targeted prevention and control of the disease. Based on data from the Xinjiang Animal Husbandry and Veterinary Big Data Platform, we constructed a directed and weighted sheep transportation network. We established a coupled human-sheep metapopulation model for brucellosis that incorporates infection during animal transportation, thereby providing a more accurate description of brucellosis spread across the metapopulation network. The epidemic threshold was derived theoretically. For the application, a brucellosis transmission model was simulated based on the constructed sheep transportation network in Xinjiang. It was observed that with an increase in transportation rate, epidemic threshold first decreases then increases, indicating that excessively high or low transportation rates should be avoided. Notably, epidemic threshold also increases as the infection rate during transportation rises, which exacerbates brucellosis epidemics in practice, so its potential risks cannot be ignored. For brucellosis control, we first identified key regions and key transportation routes using network centrality, then simulated the control effect with practical control measures. The results demonstrated that strengthening quarantine at checkpoints and reducing sheep transportation between key areas and other regions are more effective than implementing the same measures on critical transportation routes. Specifically, node degree centrality can effectively identify key regions. In early control stage, prioritize reducing internal infection rates through regular quarantine, purification and standardized breeding management; in the middle and late stages, the most effective control is increase culling rate. 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Dynamic Modeling and Control of Brucellosis in a Metapopulation Network Considering Animal Transportation: A Case Study of Xinjiang, China.
Cross-regional animal transportation is a crucial factor in the spatial transmission of brucellosis, and infections occurring during transportation cannot be overlooked. Clarifying the spatiotemporal transmission patterns of brucellosis under animal transportation mechanisms is of great significance for enabling targeted prevention and control of the disease. Based on data from the Xinjiang Animal Husbandry and Veterinary Big Data Platform, we constructed a directed and weighted sheep transportation network. We established a coupled human-sheep metapopulation model for brucellosis that incorporates infection during animal transportation, thereby providing a more accurate description of brucellosis spread across the metapopulation network. The epidemic threshold was derived theoretically. For the application, a brucellosis transmission model was simulated based on the constructed sheep transportation network in Xinjiang. It was observed that with an increase in transportation rate, epidemic threshold first decreases then increases, indicating that excessively high or low transportation rates should be avoided. Notably, epidemic threshold also increases as the infection rate during transportation rises, which exacerbates brucellosis epidemics in practice, so its potential risks cannot be ignored. For brucellosis control, we first identified key regions and key transportation routes using network centrality, then simulated the control effect with practical control measures. The results demonstrated that strengthening quarantine at checkpoints and reducing sheep transportation between key areas and other regions are more effective than implementing the same measures on critical transportation routes. Specifically, node degree centrality can effectively identify key regions. In early control stage, prioritize reducing internal infection rates through regular quarantine, purification and standardized breeding management; in the middle and late stages, the most effective control is increase culling rate. Our study clarifies the impact of animal transportation and infections occurring during transportation, and analyzes the effectiveness of different control measures from network structure perspective, providing a theoretical basis for brucellosis control in Xinjiang and other regions.
期刊介绍:
The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including:
Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations
Research in mathematical biology education
Reviews
Commentaries
Perspectives, and contributions that discuss issues important to the profession
All contributions are peer-reviewed.