Selection and mutation in X-linked recessive diseases epidemiological model

To describe the epidemiology of X-linked recessive diseases we developed a discrete time, structured, non linear mathematical model. The model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual´s health conditions). Applying Lyapunov direct method we found the domain of attraction of model´s equilibrium point and studied the convergence properties of the degenerate equilibrium where only affected individuals survive.