Mathematical aspects of peridic catatonic schizophrenia

The mathematical study of periodic catatonic schizophrenia initiated by Danziger and Elmergreen is generalized by considering the class of differential equations that could be used to describe the periodic behavioral symptoms and periodic variation of biochemical levels in periodic catatonic schizophrenia. The existence of asymptotically stable periodic solutions is studied mathematically and the physical significance of such periodic solutions is discussed. The occurrence of relaxation oscillations is briefly considered. The research in this paper was supported partly by the U.S. Army Research Office (Durham) (Grant No. DA-ARO-D-31-124-72-C69) and partly by a Rutgers Research Council Faculty Fellowship.