title: Generalization of Carey's equality and a theorem on stationary population.
abstract: Carey's Equality pertaining to stationary models is well known. In this paper, we have stated and proved a fundamental theorem related to the formation of this Equality. This theorem will provide an in-depth understanding of the role of each captive subject, and their corresponding follow-up duration in a stationary population. We have demonstrated a numerical example of a captive cohort and the survival pattern of medfly populations. These results can be adopted to understand age-structure and aging process in stationary and non-stationary population models.
authors.affiliation: Georgia Regents University, 1120 15th Street, Augusta, GA, 30912, USA, arrao@gru.edu.
authors.forename: Arni S R
authors.initials: AS
authors.lastname: Srinivasa Rao
authors.forename: James R
authors.initials: JR
authors.lastname: Carey
mesh_terms: D000818:Animals; D033622:Ceratitis capitata / Q000502:physiology; D008017:Life Expectancy; D008136:Longevity / Q000502:physiology; D055641:Mathematical Concepts; D008954:Models, Biological; D011157:Population Dynamics