Title | The Cauchy problem in partial derivatives, as a mathematical model for determining threshold concentrations of metal cations in surface waters for drinking water supply |
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Authors | S. V. Novikova^{1}, Y. A. Tunakova^{1}, V. S. Valiev^{2}, G. N. Gabdrahmanova^{1}^{1}Kazan National Research Technical University named after A. N. Tupolev - KAI ^{2}Institute of Problems of Ecology and Subsoil Resources of the Academy of Sciences of Tatarstan |

Annotation | The method of constructing a mathematical differential model of Cauchy type for determining the threshold contents of metal cations in a water intake is considered. The goal is to ensure a safe level of cancerogenic risk when drinking water is consumed, which is prepared from surface water sources. |

Keywords | Cauchy model, drinking water pollution, risk, threshold concentrations of metal cations |

Citation | Novikova S. V., Tunakova Y. A., Valiev V. S., Gabdrahmanova G. N. ''The Cauchy problem in partial derivatives, as a mathematical model for determining threshold concentrations of metal cations in surface waters for drinking water supply'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 67-74. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper09.pdf. - Date of access: 06.12.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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