TL;DR
This study extends a population model for flour beetles to include adult stratification and cannibalism, analyzing conditions for chaos and finding it to be a rare phenomenon influenced by environmental factors.
Contribution
The paper introduces a refined LPA model incorporating adult stratification and cannibalism, providing new insights into the conditions under which chaos can occur in flour beetle populations.
Findings
Chaos is a rare phenomenon within realistic parameter ranges.
Environmental changes can induce chaos in the population dynamics.
The extended model accurately fits longitudinal data of beetle populations.
Abstract
Flour beetles (genus Tribolium) have long been used as a model organism to understand population dynamics in ecological research. A rich and rigorous body of work has cemented flour beetles' place in the field of mathematical biology. One of the most interesting results using flour beetles is the induction of chaos in a laboratory beetle population, in which the well-established LPA (larvae-pupae-adult) model was used to inform the experimental factors which would lead to chaos. However, whether chaos is an intrinsic property of flour beetles remains an open question. Inspired by new experimental data, we extend the LPA model by stratifying the adult population into newly emerged and mature adults and considering cannibalism as a function of mature adults. We fit the model to longitudinal data of larvae, pupae, and adult beetle populations to demonstrate the model's ability to…
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