Generalization of Carey’s equality and a theorem on stationary population

Arni S.R. Srinivasa Rao, James R. Carey

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)583-594
Number of pages12
JournalJournal of Mathematical Biology
Issue number3
StatePublished - Sep 14 2015


  • Captive cohort
  • Life expectancy
  • Symmetric patterns

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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