Evolutionary stability of ideal free nonlocal dispersal
Evolutionary stability of ideal free nonlocal dispersal
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DOI：
10.1080/17513758.2011.588341
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发表时间：
2012-03
影响因子：
2.8
通讯作者：
C. Cosner;J. Dávila;Salomé Martínez
中科院分区：
文献类型：
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作者：
C. Cosner;J. Dávila;Salomé Martínez
我们研究非局部扩散策略的进化稳定性，该策略可以产生理想的自由种群分布，即所有个体具有相同的适应度并且在平衡时个体没有净移动的分布。我们发现，产生理想自由分布的性质对于进化稳定性来说是必要的并且通常是足够的。我们的结果将已经为有限补片网络上的离散扩散模型开发的结果扩展到基于积分微分方程的非局部扩散模型的情况。该分析基于比较方法的使用以及子解决方案和超解决方案的构建。
We study the evolutionary stability of nonlocal dispersal strategies that can produce ideal free population distributions, that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium. We find that the property of producing ideal free distributions is necessary and often sufficient for evolutionary stability. Our results extend those already developed for discrete diffusion models on finite patch networks to the case of nonlocal dispersal models based on integrodifferential equations. The analysis is based on the use of comparison methods and the construction of sub- and supersolutions.