具有毒素影响的非简化二维Lotka－Volterra模型  

UNSIMPLIFIED 2-D LOTKA-VOLTERA MODEL IN A POLLUTED ENVIRONMENT

作　　者：闫慧臻[1] 

机构地区：[1]大连轻工业学院数学教研室

出　　处：《大连轻工业学院学报》1995年第1期54-59,共6页Journal of Dalian Institute of Light Industry

摘　　要：本文研究了具有毒素影响的非简化二维Ｖｏｌｔｅｒｒａ模型，给出了两种群持续生存与绝灭的一些充分条件，从而为实际应用提供了一定的理论依据。For the simplified two-dimensional Lotka-Voltera model in a polluted environ-ment,a threshold between the persistence and the extinction of pollution is obtained.under the as-sumption that the capacity of the environment is so large that the change of toxicant from uptakeand egestion of the organisms,can be neglected.But up to now there is no report on such anunsimplified model.In this paper, tbe persistence and the extinction of this model are investigated.Some sufficient conditions on persistence or extinction are obtained,providing theoretical basis forpractical applications.

关 键 词：种群 持续生存 绝灭 LOTKA-VOLTERRA 模型 毒素 

分 类 号：Q141[生物学—生态学]