A Saturated Autocatalytic Model with Phenomenological Thermal Activation: Continuous Dynamics, Diffusion-Driven Patterns, and Discretization Effects
We formulate a two-intermediate model for precursor-fed autocatalysis with a bounded phenomenological thermokinetic factor. Positivity, dissipativity, existence of a positive equilibrium, an a priori equilibrium bound, and a conditional uniqueness criterion are established analytically. Generic saddle-node and Hopf con...