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A mathematical model to study the effect of toxic chemicals on a prey-predator type fishery. (English) Zbl 1100.92066

Summary: A nonlinear mathematical model is proposed and analyzed to see the indirect effects of air pollutants on prey-predator type fish populations in a closed population (lake). It is shown that as the pollutant concentration in the environment increases, the concentration of the acidic chemicals in the lake increases and consequently the equilibrium level of the fish population decreases. Using stability theory of differential equations and computer simulations, it is shown that due to the effort, the pollutant concentration can be reduced to a desired level to save fisheries from extinction by acid rain.

MSC:

92D40 Ecology
34D20 Stability of solutions to ordinary differential equations
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