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

Alan J. Terry

Applied Mathematics and Computation, 2015, vol. 271, issue C, 400-417

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.

Keywords: Single-species model; Birth pulses; Age structure; Non-overlapping generations; Density-dependence; Chaos (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:400-417

DOI: 10.1016/j.amc.2015.09.006

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