Solution to a well known non-linear system of ordinary differential equations modelling infectious disease transmission, adapted from H. W. Hethcote, 2000, The mathematics of infectious diseases, SIAM Review, 42(4): 599-653.

"Is mathematical analysis...only a vain play of the mind? It can give to the physicist
only a convenient language; is this not a mediocre service, which, strictly speaking,
could be done without; and even is it not to be feared that this artificial language
may be a veil interposed between reality and the eye of the physicist? Far from it;
without this language most of the intimate analogies of things would have remained
forever unknown to us; and we should forever have been ignorant of the internal harmony of the world, which is...the only true objective reality."---Henri Poincaré (1854-1912)

AME 30314

Differential Equations, Vibrations, and Control I

Spring 2025