MODELING CHOLERA TRANSMISSION UNDER DISEASE CONTROL MEASURES
MODELING CHOLERA TRANSMISSION UNDER DISEASE CONTROL MEASURES
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DOI：
10.1142/s0218339021400015
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发表时间：
2021-06-01
影响因子：
1.6
通讯作者：
Wang, Jin
中科院分区：
文献类型：
--
作者：
Brown, Margaret;Jiang, Miko;Wang, Jin
我们提出了一个新的数学模型，调查疾病控制措施，包括教育计划和水卫生条件下的霍乱传播动力学。该模型将教育计划的影响纳入疾病传播率，并将水卫生纳入环境病原体动态。我们对该模型的自治系统进行了详细的分析，并建立了其平衡点的局部和全局稳定性，这些平衡点表征了霍乱的阈值动力学。然后，我们进行了最优控制研究的一般模型与时间相关的控制，并探索有效的方法来实施教育计划和水卫生，同时平衡其成本。我们的分析和模拟突出了疾病的直接和间接传播途径之间的复杂相互作用，环境病原体的内在增长和多种控制措施的影响，以及它们在集体塑造霍乱传播动态中的作用。
We present a new mathematical model to investigate the transmission dynamics of cholera under disease control measures that include education programs and water sanitation. The model incorporates the impact of education programs into the disease transmission rates and that of water sanitation into the environmental pathogen dynamics. We conduct a detailed analysis to the autonomous system of the model and establish the local and global stabilities of its equilibria that characterize the threshold dynamics of cholera. We then perform an optimal control study on the general model with time-dependent controls and explore effective approaches to implement the education programs and water sanitation while balancing their costs. Our analysis and simulation highlight the complex interaction among the direct and indirect transmission pathways of the disease, the intrinsic growth of the environmental pathogen and the impact of multiple control measures, and their roles in collectively shaping the transmission dynamics of cholera.