中山大学学报（自然科学版）Issue(4)：55-62,8.DOI:10.13471/j.cnki.acta.snus.2015.04.010
一类捕食食饵模型正解的定性分析和数值模拟
Qualitative Analysis and Numerical Simulation of Positive Solutions for a Predator-Prey Model
摘要
Abstract
The steady state positive solutions of a predator-prey model with diffusion are studied.A priori estimate for positive solutions is obtained by using maximum principle.Applying to the local bifurcation theory,the existence of local bifurcation solutions is given.It follows from the global bifurcation theory that the local bifurcation solution can be extended to global bifurcation solution and the trend is obtained. Then a necessary and sufficient condition for the existence of positive solutions is obtained.By the stabili-ty theory,the stability of local bifurcation solutions is investigated.Finally,the theoretical results are verified and complemented by the numerical simulation.关键词
捕食食饵/分歧/稳定性/数值模拟Key words
predator-prey/bifurcation/stability/numerical simulation分类
数理科学引用本文复制引用
王利娟,姜洪领..一类捕食食饵模型正解的定性分析和数值模拟[J].中山大学学报（自然科学版）,2015,(4):55-62,8.基金项目
国家自然科学基金资助项目（11201277，11401356）；陕西省教育厅科研计划资助项目（14JK1035，14JK1862）；宝鸡文理学院重点科研资助项目 （）
