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

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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.

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Acknowledgments

We thank the organizers of the Keyfitz Centennial Symposium on Mathematical Demography sponsored by the Mathematical Biosciences Institute, Ohio State University, June 2013. Research by JRC supported by NIA/NIH Grants P01 AG022500-01 and P01 AG08761-10.

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Authors and Affiliations

  1. Georgia Regents University, 1120 15th Street, Augusta, GA, 30912, USA

    Arni S. R. Srinivasa Rao

  2. Department of Entomology, University of California, Davis, CA, 95616, USA

    James R. Carey

  3. Center for the Economics and Demography of Aging, University of California, Berkeley, CA, 94720, USA

    James R. Carey

Authors
  1. Arni S. R. Srinivasa Rao
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  2. James R. Carey
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Correspondence to Arni S. R. Srinivasa Rao.

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Srinivasa Rao, A.S.R., Carey, J.R. Generalization of Carey’s equality and a theorem on stationary population. J. Math. Biol. 71, 583–594 (2015). https://doi.org/10.1007/s00285-014-0831-6

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  • DOI: https://doi.org/10.1007/s00285-014-0831-6

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