Broom M, Ruxton G D
Centre for Statistics and Stochastic Modelling, School of Mathematical Sciences, University of Sussex, Brighton, UK.
J Math Biol. 2004 May;48(5):529-44. doi: 10.1007/s00285-003-0244-4. Epub 2003 Dec 2.
Recently several papers that model parasitic egg-laying by birds in the nests of others of their own species have been published. Whilst these papers are concerned with answering different questions, they approach the problem in a similar way and have a lot of common features. In this paper a framework is developed which unifies these models, in the sense that they all become special cases of a more general model. This is useful for two main reasons; firstly in order to aid clarity, in that the assumptions and conclusions of each of the models are easier to compare. Secondly it provides a base for further similar models to start from. The basic assumptions for this framework are outlined and a method for finding the ESSs of such models is introduced. Some mathematical results for the general, and more specific, models are considered and their implications discussed. In addition we explore the biological consequences of the results that we have obtained and suggest possible questions which could be investigated using models within or very closely related to our framework.
最近,有几篇关于模拟鸟类在同种其他个体巢穴中寄生产卵的论文发表了。虽然这些论文关注的是回答不同的问题,但它们以相似的方式处理这个问题,并且有很多共同特征。在本文中,我们开发了一个框架,将这些模型统一起来,也就是说它们都成为一个更通用模型的特殊情况。这样做有两个主要原因很有用;首先是为了帮助清晰理解,因为每个模型的假设和结论更容易比较。其次,它为进一步的类似模型提供了一个起始基础。概述了该框架的基本假设,并介绍了一种寻找此类模型进化稳定策略(ESSs)的方法。考虑了通用模型和更具体模型的一些数学结果,并讨论了它们的含义。此外,我们探讨了所获得结果的生物学后果,并提出了一些可能的问题,这些问题可以使用我们框架内或与之密切相关的模型进行研究。