It is estimated that, about one billion people mostly from Asia, Sub-Saharan Africa and Latin America are infected with the Hookworm infection. In this paper, we developed and analyzed a model for the transmission dynamics of Hookworm infection in a human population using Caputo fractional order differential operator. Under Caputo operator, existence and uniqueness for the solutions of the new Hookworm infection model have been analyzed using fixed point theorems. Parameters of the model are estimated with the help of real statistics available for the Hookworm infection from a city of Ghana and the best fit is obtained under the nonlinear least-squares curve fitting technique. Further analysis of the proposed model shows that the disease free (infection-absent) equilibrium is locally asymptotically stable whenever a certain reproduction number ${\mathcal{R}}_0<1$ and the endemic (infection-present) equilibrium point is globally asymptotically stable whenever ${\mathcal{R}}_0<1$ and unstable if ${\mathcal{R}}_0>1$. Using forward normalized sensitivity index, the most sensitive parameters are identified that are essential for control of the infection and we obtained different types of simulations for the proposed Hookworm transmission system with the best fitted fractional order parameter (χ). The modelling results show that the chemotherapy treatment, awareness and improvement of personal hygiene are the best measures to be taken for control of the Hookworm infection among vulnerable community.

据估计，约有十亿人大部分感染了钩虫病，其中大部分来自亚洲，撒哈拉以南非洲和拉丁美洲。在本文中，我们使用Caputo分数阶微分算子开发并分析了钩虫感染在人类中的传播动力学模型。在Caputo算子下，使用定点定理分析了新的钩虫感染模型的解的存在性和唯一性。利用可用于加纳市钩虫感染的实际统计数据估算模型的参数，并在非线性最小二乘曲线拟合技术下获得最佳拟合。对所提出模型的进一步分析表明，每当有一定繁殖数时，无病（无感染）平衡就局部渐近稳定${\mathcal{[R}}_0<\mathrm{1个}$ 并且地方性（感染存在）平衡点在任何时候都全局渐近稳定 ${\mathcal{[R}}_0<\mathrm{1个}$ 并且不稳定，如果 ${\mathcal{[R}}_0>\mathrm{1个}$。使用正向归一化灵敏度指数，可以确定对于控制感染必不可少的最敏感参数，并且对于拟议的具有最佳拟合分数阶参数（χ）的钩虫传播系统，我们获得了不同类型的仿真。模拟结果表明，化学疗法，提高个人卫生意识和改善个人卫生是控制弱势社区钩虫感染的最佳措施。