Department of Mathematics and Department of Zoology and Physiology, University of Wyoming, Laramie, USA.
Bull Math Biol. 2011 Aug;73(8):1794-811. doi: 10.1007/s11538-010-9592-6. Epub 2010 Oct 23.
Mistletoes are common aerial stem-parasites and their seeds are dispersed by fruit-eating birds. In the mutually beneficial relationships between mistletoes and bird species that disperse mistletoes' seeds, the preference of birds for infected trees influences the spread of mistletoes and the spatiotemporal pattern formation of mistletoes. We formulate a deterministic model to describe the dynamics of mistletoes in an isolated patch containing an arbitrary number of trees. We establish concrete criterions, expressed in terms of the model parameters, for mistletoes establishing in this area. We conduct numerical simulations based on a field study to reinforce and expand our results.
槲寄生是常见的气生茎寄生植物，其种子通过食果鸟类传播。在槲寄生和传播其种子的鸟类之间互利共生的关系中，鸟类对感染树木的偏好影响了槲寄生的传播和槲寄生的时空模式形成。我们制定了一个确定性模型来描述包含任意数量树木的孤立斑块中槲寄生的动态。我们建立了具体的标准，用模型参数表示，以确定槲寄生在该区域的建立情况。我们根据一项实地研究进行了数值模拟，以加强和扩展我们的结果。
