摘要
本文研究脉冲排放污染时对周围单种群生物表型特征进化的影响,首先建立具有表型特征的生物进化模型其次采用临界函数分析方法,得到产生进化稳定、收敛稳定及进化分支的条件.最后,通过数值模拟给出连续稳定时进化奇异点与脉冲周期、输入毒素的量的关系.
The effects of pulse pollution on the evolution of phenotypic trait in a single population were studied.Firstly,biological evolution model with phenotypic characteristics is established.Secondly,the conditions of evolutionary stable,convergence stability and evolutionary branch are given by critical function analysis method.Finally,the relationship among evolutionary singularity,pulse period and the amount of toxin input in continuous stability is given by numerical simulation.
作者
宋乐
刘兵
王新
SONG Le;LIU Bing;WANG Xin(Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029 China;College of Mathematics and Information Science,Anshan Normal University,Anshan Liaoning 114007 China)
出处
《生物数学学报》
2019年第2期250-256,共7页
Journal of Biomathematics
基金
国家自然科学基金项目(11371030).
关键词
脉冲污染
进化稳定
连续稳定
进化分支
Pulse pollution
Evolutionary stability
Continuous stability
Evolutionary branch