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

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

doi:10.1007/s00285-014-0831-6

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

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

Epidemiology

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English (US)
Pages (from-to)	583-594
Number of pages	12
Journal	Journal of Mathematical Biology
Volume	71
Issue number	3
DOIs	https://doi.org/10.1007/s00285-014-0831-6
State	Published - Sep 14 2015

Keywords

Captive cohort
Life expectancy
Symmetric patterns

ASJC Scopus subject areas

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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s00285-014-0831-6

Cite this

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abstract = "Carey{\textquoteright}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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AU - Carey, James R.

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PY - 2015/9/14

Y1 - 2015/9/14

N2 - 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.

AB - 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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KW - Life expectancy

KW - Symmetric patterns

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

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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