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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 19 > No. 5

 
   

Modeling the Impacts of Water Pollutants on the Dynamics of Aquatic Species Populations

PP: 1193-1206
doi:10.18576/amis/190518
Author(s)
Christopher Ngalya, Silas Mirau, Maranya Mayengo,
Abstract
Water pollution poses significant challenges to aquatic ecosystems, affecting the survival of various species. This study formulates a nonlinear mathematical model to examine the interactions among organic pollutants, inorganic pollutants, aquatic plants, bacteria, dissolved oxygen, and the fish populations. The study incorporated aquatic plants into the ecosystem, which had been previously overlooked, and considered more interactions than earlier studies. The model identifies and analyzes four equilibrium points to understand system behavior and stability. Results indicate that inorganic pollutants are strongly linked to the decline of fish populations due to their toxic effects. Conversely, moderate levels of organic pollutants can stimulate the fish population growth by supporting bacterial and plant activity; however, excessive organic pollutants lead to dissolved oxygen depletion, threatening aquatic species. Numerical simulations confirm the local and global stability of the system’s interior equilibrium, providing insights into pollutant thresholds that sustain aquatic life. These findings underscore the importance of managing both organic and inorganic pollution to maintain balanced aquatic ecosystems. The results can guide environmental policies on pollutant regulation and biodiversity conservation.

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