一类考虑外界干扰的生物进化模型的动力学研究  

Adaptive Dynamics Analysis for a Biological Evolutionary Model with External Disturbance

作　　者：余霖 张国洪[1] 王小利[1] 张焱 YU Lin;ZHANG Guo-hong;WANG Xiao-li;ZHANG Yan(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2018年第5期107-112,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701472)

摘　　要：依据进化动力学的理论与方法,建立了考虑外界干扰因素的Lotka-Volterra食物链进化模型,研究了中间捕食者种群表型特征的进化问题,得到了进化稳定、收敛稳定及产生进化分支的条件.最后,通过数值模拟分析了外界干扰对奇异策略的稳定性和表型特征进化分支情况的影响.In this paper,a Lotka-Volterra evolutionary model,in which external disturbance is considered,is established by the theory and methods of adaptive dynamics.We investigate the evolution of the traits of intermediate predator species and obtain the conditions for evolutionary stability,convergence stability and evolutionary branching.Finally,we analyze the effects of selective disturbance on the stability of singular strategy and evolutionary branching of the traits by numerical simulation.

关 键 词：外界干扰 进化稳定 进化分支 奇异策略 

分 类 号：O175[理学—数学]