Department of Mathematics, University of Miami, Coral Gables, FL 33124, USA.
J Biol Dyn. 2012;6:395-405. doi: 10.1080/17513758.2011.588341. Epub 2011 Jun 10.
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.
我们研究了能够产生理想自由种群分布的非局部扩散策略的进化稳定性，即所有个体具有相等适合度且在平衡时不存在个体净运动的分布。我们发现，产生理想自由分布的性质对于进化稳定性是必要的，并且常常是充分的。我们的结果将已为有限斑块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。分析基于比较方法的使用和子解和上解的构造。
