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一类带有Size结构竞争种群系统平衡解的稳定性条件
引用本文:张惠,赵春.一类带有Size结构竞争种群系统平衡解的稳定性条件[J].天津师范大学学报(自然科学版),2013,33(1):1-8.
作者姓名:张惠  赵春
作者单位:天津师范大学数学科学学院,天津,300387
基金项目:国家自然科学基金资助项目,天津市高等学校科技发展基金计划资助项目,天津师范大学博士科研启动基金资助项目
摘    要:研究一类带有Size结构竞争种群系统平衡解的稳定性条件.利用不动点定理证明了平衡解的存在唯一性,并得出了平衡解的特征方程.

关 键 词:Size结构  平衡解  存在唯一性  特征方程

Stability conditions for stationary solution of a two-species competitive size-structured population model
ZHANG Hui , ZHAO Chun.Stability conditions for stationary solution of a two-species competitive size-structured population model[J].Journal of Tianjin Normal University(Natural Science Edition),2013,33(1):1-8.
Authors:ZHANG Hui  ZHAO Chun
Institution:(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)
Abstract:The stability conditions for the stationary solution of a two-species competitive size-structured population model is considered. The existence and uniqueness for the stationary solution are proved by means of fixed point theorem. The characteristic equation for the stationary solution is established by the knowledge of the ordinary differential equation.
Keywords:size-structured  stationary solution  existence and uniqueness  characteristic equation
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