A mathematical model for the dynamics of Hepatitis C.
Shifting a numerically given function we obtain a fundamental matrix of the linear differential system with a constant matrix . Using the fundamental matrix we calculate , calculating the eigenvalues of we obtain and using the least square method we determine .
A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number....