一类互惠模型共存解的稳定性  

The stability for coexistence solution of a kind of mutualistic model

作　　者：李海侠[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2012年第1期27-29,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：宝鸡文理学院重点项目(ZK10106)

摘　　要：目的研究了一类互惠模型共存解的稳定性。方法以λ为分歧参数,运用极值原理、局部分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。结果得到了系统共存解稳定的条件。结论此互惠模型在适当条件下共存解是稳定的。Aim To investigate the stability for coexistence solutions of a kind of mutualistic mod- el. Methods With λ as bifurcation parameters, the maximum principle, local bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions are used to investigate the aforesaid aim. Results The condition for the stability of the coexistence solutions is obtained. Conclusion The coexistence solutions are stable for the mutualistic model under appropri- ate conditions.

关 键 词：互惠模型 极值原理 局部分歧 稳定性 

分 类 号：O175.26[理学—数学]