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Abstract
This paper focuses on the urgent issue of minimising the impact of pollutants on aquatic life in river ecosystems. Our innovative approach involves the integration of mathematical modelling and strategic control methods to counteract the negative consequences of industrial and agricultural activities. The model, developed in a one-dimensional context, captures the complex dynamics of species population and pollutant concentration. Using an optimisation framework, we strive to achieve a harmonious balance that limits pollution, enhances species diversity and optimises control expenditure. Ultimately, we seek to harmonise industrial progress with ecological vitality, promoting the sustainability of river ecosystems for generations to come.
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Details
1 University Hassan II, Laboratory of Analysis Modelling and Simulation, Department of Mathematics, Casablanca, Morocco (GRID:grid.412148.a) (ISNI:0000 0001 2180 2473)
2 Siirt University, Department of Mathematics, Art and Science Faculty, Siirt, Turkey (GRID:grid.449212.8) (ISNI:0000 0004 0399 6093); Lebanese American University, Department of Computer Science and Mathematics, Beirut, Lebanon (GRID:grid.411323.6) (ISNI:0000 0001 2324 5973)
3 Ghazni University, Department of mathematics, Ghazni, Afghanistan (GRID:grid.448871.6) (ISNI:0000 0004 7386 4766)