ISSN: 2578-4994
Authors: Zachariah Noboth, Estomih S Massawe*, Daniel O Makinde and Lathika P
Toxic in water bodies is a worldwide problem. It kills fish and other aquatic animals in water. Human beings are affected by this indirectly through eating affected fish. In this paper, a model for controlling toxicants in water is formulated and analysed. Boundedness, positivity and analysis of the model are examined where four steady states are determined by using Eigenvalue analysis and found to be locally stable under some conditions. The optimal control strategies are established with the help of Pontryagin’s maximum principle. The simulations for the model with control show that when control is applied the results reveals that the amount of toxic is reduced and hence there is an increase in fish population for both prey and predator populations. It is recommended that the government has to introduce laws and policies which ensure that the industries treat waste water before they are discharged into water bodies and to develop a system for waste recycling.
Keywords: Toxicants; Fish; Harvesting; Optimal
