title: Investigation of the conditions for oscillations in two-variable models of biological processes.
abstract: A procedure is presented for the direct determination of possible limit cycles that might occur in two-coupled differential equations that can arise in the modeling of certain biological phenomena. Mathematical expressions are given so that for a particular pair of differential equations the possible limit cycles, their parameters, and stability properties can be calculated by a purely algebraic process. Several examples are used to illustrate the procedure.
authors.affiliation: Department of Physics, Clark Atlanta University, GA 30314.
authors.forename: R E
authors.initials: RE
authors.lastname: Mickens
mesh_terms: D001683:Biological Clocks / Q000502:physiology*; D008433:Mathematics; D008954:Models, Biological