Effects of pollution on individual size of a single species  

作　　者：Bing Liu Le Song Xin Wang Baolin Kang 

机构地区：[1]College of Mathematics and Information Science Anshan Normal University,Anshan 114007 Liaoning,R.China [2]Department of Mathematics,Liaoning Normal University Dalian 116029,Liaoning,P.R.China

出　　处：《International Journal of Biomathematics》2020年第8期133-155,共23页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(11371030);the Natural Science Foundation of Liaoning Province(20170540001);Liaoning Bai Qian Wan Talents Program.

摘　　要：In this paper,we develop a single species evolutionary model with a continuous phenotypic trait in a pulsed pollution discharge environment and discuss the effects of pollution on the individual size of the species.The invasion fitness function of a moiiomorphic species is given,which involves the long-term average exponential growth rate of the species. Then the critical function analysis method is used to obtain the evolutionary dynamics of the system,which is related to interspecific competition intensity between mutant species and resident species and the curvature of the trade-off between individual size and the intrinsic growth rate.We conclude that,the pollution affects the evolutionary traits and evolutionary dynamics.The worsening of the pollution can lead to rapid stable evolution toward a smaller individual size,while the opposite is more likely to generate evolutionary branching and promote species diversity.The adaptive dynamics of coevolution of dimorphic species is further analyzed when evolutionary branching occurs.

关 键 词：Pulse pollution invasion fitness function evolutionary singulary strategy evolutionary branching coevolution 

分 类 号：O17[理学—数学]