Pattern dynamics and Turing instability in a diffusive immunosuppressive infection model

This paper presents a spatiotemporal mathematical model to study the dynamics of the immune system and its response to virus infection during treatment. The model explores the temporal dynamics of the system, performs a stability analysis of the equilibrium points, and investigates instability in the spatiotemporal system using Turing bifurcation conditions. Numerical simulations are conducted to validate the theoretical results and thoroughly investigate the Turing instability boundaries in the parameter space. Induced pattern formations are simulated, and the effects of key parameter variations are examined. Overall, this paper contributes to the understanding of immunosuppressive infection dynamics and provides insights into the behavior of the immune system during treatment.