带交叉扩散项的捕食模型正稳态解的存在性分析  

Existence of Positive Steady-state Solution for a Prey-Predator Model with Cross-Diffusion

作　　者：黄喜娇 李景荣[2] 

机构地区：[1]安阳学院,河南安阳455000 [2]河南科技大学附属高级中学

出　　处：《河北科技师范学院学报》2017年第1期29-33,共5页Journal of Hebei Normal University of Science & Technology

基　　金：河南省高等学校重点科研资助项目(项目编号:17A110015)

摘　　要：讨论了一类具有交叉扩散项的Holling-Tanner捕食-食饵生态模型的正稳态解的存在性。利用最大值原理给出了此模型正解的先验估计,进一步利用特征值和单特征值的局部分歧理论,以物种v的增长率b作为分歧参数,证明了系统在半平凡解附近出现分歧。The existence of positive steady-state solution for a prey-predator model with cross-diffusion was dis- cussed in this paper. The prior estimate to the positive solutions of the model was given by means of maximum principle. Furthermore, treating the increase rate b as the bifurcation parameter, the bifurcation from the semi- trivial solutions was obtained according to the local bifurcation theory with eigenvalues.

关 键 词：交叉扩散项 Holling-Tanner捕食-食饵模型 先验估计 分歧解 

分 类 号：O175.26[理学—数学]