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首页> 外文期刊>Mathematical Biosciences: An International Journal >Monarch butterfly spatially discrete advection model
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Monarch butterfly spatially discrete advection model

机译：帝王蝶空间离散对流模型

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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 and their generationally dependent reproductive strategies naturally support fluctuating patterns and multiple attractors. The implications of these fluctuations and attractors on the long-term survival of the Monarch butterfly population are explored. (C) 2004 Elsevier Inc. All rights reserved.
机译：我们使用结合迁移和局部动力学的最简单系统之一研究帝王蝶的种群周期。君主的年度移民涉及四代人。第1-3代（有时为4代）的成员从中部墨西哥的越冬地点迁移到北至美国北部和加拿大南部的繁殖地。 3代的一部分和4代的所有蝴蝶从8月到10月开始返回越冬地，在那里进入繁殖滞育期达几个月。我们开发了一个简单的离散时间岛链模型，其中使用了不同的生育力模型来模拟每一代的繁殖策略。繁殖力功能是从广泛的功能类别中选择的，这些功能类别捕获了君主群体中竞争或争夺种内竞争的影响。我们研究的目标是多重的​​，包括对世代相依的种内竞争及其对移民种群规模以及整个蝴蝶种群持续存在的影响的研究。用于建模帝王蝶动力学及其阶段性繁殖策略的阶段结构自然支持波动的模式和多个吸引子。探讨了这些波动和吸引子对帝王蝶种群长期生存的影响。 （C）2004 Elsevier Inc.保留所有权利。

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