Evolutionary Branching and Evolutionarily Stable Coexistence of Competing ompeting Species pecies

摘要：

In this paper, with the method of adaptive dynamics, we investigate the evolution of phenotypic traits in a community comprising the populations of competing species. We investigate under what conditions a competing species will change from monomorphism to dimorphism. We also address whether the two competing species evolving from the single ancestor can continue to coexist on the long-term evolutionary timescale. It is found that evolutionary branching can occur if the carrying capacity function is weakly concave near the singular strategy and the competitive coefficient function is strongly concave near zero. After branching has occurred, under symmetric competition, the final evolutionary outcome may contain two different types of competing species;under asymmetric competition, depending on the strength of asymmetric competition, the final evolutionary outcome may contain two different types of competing species or three different types of species.

关键词： adaptive dynamics biodiversity evolutionary branching continuously stable strategy

作者: Jian Zu Bo Zu

作者单位: Department of Applied Mathematics, Xian Jiaotong University,Xian 710049,P.R. China School of River and Ocean Engineering,Chongqing Jiaotong University,Chongqing 400074, P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 641-649

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）