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A population model with birth pulses, age structure, and non-overlapping generations

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  • Terry, Alan J.

Abstract

We propose a single-species population model based on these assumptions: (i) individuals are sexually immature at birth and are classed as juveniles; (ii) juveniles become sexually mature and are classed as adults if they survive to age τ, where τ is a fixed positive constant called the maturation age; (iii) reproduction occurs in brief periodic episodes called birth pulses; (iv) if an adult is alive at the time of a birth pulse, then it dies immediately afterward. These assumptions may reasonably approximate the life cycles of certain types of insect or fish, in which reproduction occurs at a single particular time of year and adults die shortly after reproducing. Assumptions (i) and (ii) are a simple representation of age structure, and assumption (iv) ensures that the population has non-overlapping generations.

Suggested Citation

  • Terry, Alan J., 2015. "A population model with birth pulses, age structure, and non-overlapping generations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 400-417.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:400-417
    DOI: 10.1016/j.amc.2015.09.006
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    References listed on IDEAS

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    1. Gao, Shujing & Chen, Lansun & Sun, Lihua, 2005. "Optimal pulse fishing policy in stage-structured models with birth pulses," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1209-1219.
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    Cited by:

    1. Luigi Aldieri & Maxim N. Kotsemir & Concetto Paolo Vinci, 2020. "The Effects of Collaboration on Research Performance of Universities: an Analysis by Federal District and Scientific Fields in Russia," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 11(2), pages 766-787, June.
    2. Bashkirtseva, Irina & Ryashko, Lev & Ryazanova, Tatyana, 2020. "Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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