Schistosomiasis is a snail-borne parasitic disease, which is affecting almost 240 million people worldwide. The number of humans affected by schistosomiasis is continuously increasing with the rise in the use of agrochemicals. In this paper, a mathematical model is formulated and analyzed to assess the effect of agrochemicals on the transmission of schistosomiasis. The proposed model incorporates the effects of fertilizers, herbicides and insecticides on susceptible snails and snail predators along with schistosomiasis disease transmission. The existence and stability of the equilibria in the model are discussed. Sensitivity analysis is performed to identify the key parameters of the proposed model, which contributes most in the transmission of this disease. Numerical simulations are also performed to assess the impact of fertilizers, herbicides and insecticides on schistosomiasis outbreaks. Our study reveals that the agricultural pollution can enhance the transmission intensity of schistosomiasis, and in order to prevent the outbreak of schistosomiasis, the use of pesticides should be controlled.

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评估农用化学品对血吸虫病传播的影响：一项数学研究

血吸虫病是一种由蜗牛传播的寄生虫病，影响着全世界近 2.4 亿人。随着农用化学品使用的增加，受血吸虫病影响的人数不断增加。在本文中，建立并分析了一个数学模型来评估农用化学品对血吸虫病传播的影响。所提出的模型结合了肥料、除草剂和杀虫剂对易感蜗牛和蜗牛捕食者以及血吸虫病传播的影响。讨论了模型中平衡点的存在性和稳定性。进行敏感性分析以确定所提出模型的关键参数，该模型在这种疾病的传播中贡献最大。还进行了数值模拟以评估肥料的影响，血吸虫病爆发时的除草剂和杀虫剂。我们的研究表明，农业污染会增强血吸虫病的传播强度，为预防血吸虫病的爆发，应控制农药的使用。