Cholera is a water-borne disease and a major threat to human society affecting about 3–5 million people annually. A considerable number of research works have already been done to understand the disease transmission route and preventive measures in spatial or non-spatial scale. However, how the control strategies are to be linked up with the human migration in different locations in a country are not well studied. The present investigation is carried out in this direction by proposing and analyzing cholera meta-population models. The basic dynamical properties including the domain basic reproduction number are studied. Several important model parameters are estimated using cholera incidence data (2008–2009) and inter-provincial migration data from Census 2012 for the five provinces in Zimbabwe. By defining some migration index, and interlinking these indices with different cholera control strategies, namely, promotion of hand-hygiene and clean water supply and treatment, we carried out an optimal cost effectiveness analysis using optimal control theory. Our analysis suggests that there is no need to provide control measures for all the five provinces, and the control measures should be provided only to those provinces where in-migration flow is moderate. We also observe that such selective control measures which are also cost effective may reduce the overall cases and deaths.

中文翻译：

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将迁移与干预策略联系起来的霍乱种群模型——津巴布韦的案例研究（2008-2009）

霍乱是一种水传播疾病，对人类社会构成重大威胁，每年影响约 3-5 百万人。已经进行了大量的研究工作，以了解空间或非空间尺度的疾病传播途径和预防措施。然而，如何将控制策略与一个国家不同地点的人口迁移联系起来还没有得到很好的研究。目前的调查是通过提出和分析霍乱元种群模型来朝这个方向进行的。研究了包括域基本再生数在内的基本动力学特性。使用霍乱发病率数据（2008-2009 年）和 2012 年人口普查中津巴布韦五个省的省际迁移数据估计了几个重要的模型参数。通过定义一些迁移指标，并将这些指标与不同的霍乱控制策略，即促进手部卫生和清洁水的供应和处理联系起来，利用最优控制理论进行了最优成本效益分析。我们的分析表明，没有必要对所有五个省份都提供控制措施，而应该只对那些流入量适中的省份提供控制措施。我们还观察到，这种具有成本效益的选择性控制措施可能会减少总体病例和死亡人数。我们的分析表明，没有必要对所有五个省份都提供控制措施，而应该只对那些流入量适中的省份提供控制措施。我们还观察到，这种具有成本效益的选择性控制措施可能会减少总体病例和死亡人数。我们的分析表明，没有必要对所有五个省份都提供控制措施，而应该只对那些流入量适中的省份提供控制措施。我们还观察到，这种具有成本效益的选择性控制措施可能会减少总体病例和死亡人数。