Monarch butterfly spatially discrete advection model

Mathematical Biosciences
Abdul-Aziz YakubuLaura E Jones

Abstract

We study the population cycles of the Monarch butterfly using one of the simplest systems incorporating both migration and local dynamics. The annual migration of the Monarch involves four generations. Members of Generations 1-3 (occasionally 4) migrate from the over-wintering site in Central Mexico to breeding grounds that extend as far north as the Northern United States and Southern Canada. A portion of the Generation 3 and all members of the Generation 4 butterflies begin their return to the over-wintering grounds in August through October where they enter reproductive diapause for several months. We developed a simple discrete-time island chain model in which different fecundity functions are used to model the reproductive strategies of each generation. The fecundity functions are selected from broad classes of functions that capture the effects of either contest or scramble intraspecific competition in the Monarch population. The objectives of our research are multiple and include the study of the generationally dependent intraspecific competition and its effect on the pool size of migrants as well as the persistence of the overall butterfly populations. The stage structure used in modeling the Monarch butterfly dynamics ...Continue Reading

References

Jan 1, 1987·Journal of Mathematical Biology·L J Allen
Sep 1, 1997·Mathematical Biosciences·A A Yakubu
Feb 1, 1989·Trends in Ecology & Evolution·P Yodzis

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Citations

Sep 22, 2016·Insect Science·Carl StenoienMyron P Zalucki
Oct 11, 2017·Royal Society Open Science·Wayne E ThogmartinLaura Lopez-Hoffman
Mar 31, 2021·Biological Reviews of the Cambridge Philosophical Society·Shawan ChowdhuryMyron P Zalucki

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