一类Variable-Territory捕食模型正解的分歧及稳定性

一类Variable-Territory捕食模型正解的分歧及稳定性 Bifurcation and Stability of Positive Solutions for a Class of Variable-Territory Predator-Prey Model 姜洪领 JIANG Hongling 1 2 first-author 王利娟 WANG Lijuan 2 郭改慧 GUO Gaihui 3 陕西师范大学数学与信息科学学院 陕西师范大学数学与信息科学学院 College of Mathematics and Information Science,Shaanxi Normal University College of Mathematics and Information Science,Shaanxi Normal University 宝鸡文理学院数学系 宝鸡文理学院数学系 Department of Mathematics,Baoji University of Arts and Sciences Department of Mathematics,Baoji University of Arts and Sciences 陕西科技大学理学院 陕西科技大学理学院 College of Science,Shaanxi University of Science and Technology College of Science,Shaanxi University of Science and Technology 研究了一类具有扩散的Variable-Territory捕食模型的平衡态正解问题.利用极值原理、分歧理论、特征值扰动理论和稳定性理论,得到了平衡态正解的先验估计、充分条件以及稳定性. The steady state positive solutions of a variable-territory predator-prey model with diffusion are studied.By maximum principle,bifurcation theorem,eigenvalue perturbation theory and stability theory,the priori estimate,sufficient condition of the existence and stability condition of positive solutions are given. 捕食食饵 分歧 稳定性 predator-prey bifurcation stability 10.14188/j.1671-8836.2014.04.028 O175 国家自然科学基金资助项目（11371031,11201277）;中央高校基本科研业务费专项基金资助（GK201401004）;宝鸡文理学院重点科研项目（ZK12043,ZK12091） 2014-04-01 2021-04-01 4 60