Abstract
In this research, the nonlinear mathematical model for enzyme-catalyzed reaction–diffusion phenomena has been analyzed for the exact solutions investigated analytically. As a result, it is critical to investigate this concept from a mathematical standpoint. The [Formula: see text]-model expansion method is used to extract the analytical solutions which give the chemical concentration. These variables behave differently depending on the diffusion and dimensionless input flux rate parameter. Furthermore, the existence of these solutions is also discussed under different constraint conditions and variables of chemical concentrations are represented in hyperbolic, trigonometric and rational forms. For various values, the 3D behavior of these concentrations is also depicted.
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