Mathematical models of interactions between species: peaceful co-existence of vampires and humans based on the models derived from fiction literature and films

Abstract

Our paper presents a new approach to mathematical modeling of intertemporal interactions between species based on differential equations. It employs the example of interactions between vampires and humans using several types of vampire behavior described in popular fiction literature, comic books, films and TV series. Although mathematical modeling enables us to reject most of the popular scenarios embedded in popular literature and films, it appears that several popular culture sources outline the models describing plausible and peaceful vampire and human co-existence.