Non linear discrete time epidemiological model for X-linked recessive diseases

We developed a discrete time, structured, mathematical model describing the epidemiology of X-linked recessive diseases, a class of genetic disorders. The model accounts for both de novo mutations and distinct reproduction rates of procreating couples depending on their health conditions. We found the exact solution to the model when de novo mutations are not significant and negligible reproduction rates are assigned to affected males. Our results have relevance for both system modeling and genetic epidemiology.