COMPUTATIONAL INSIGHTS INTO IMMUNE RESPONSE TO FUNGAL DISEASE: NUMERICAL SOLUTION OF A NONLINEAR COUPLED FREE BOUNDARY MODEL USING IMEX/LEGENDRE-COLLOCATION METHOD

This article presents a numerical investigation of a mathematical model that describes the immune response to fungal infection. The model represents a challenging problem due to its nonlinear and coupled nature. To overcome these challenges, we employ finite difference and spectral collocation methods, along with Taylor’s theorem, to solve the model numerically. The results obtained from the simulations demonstrate the effectiveness of our approach in capturing the dynamics of the immune response and the corresponding fungal infection. These findings provide valuable insights into the immune system’s behavior during a fungal infection and contribute to the development of treatment strategies.