西北师范大学学报（自然科学版）2012，Vol.48Issue(6)：5-8,4.
具有Ivlev型功能反应的捕食系统的正解存在性
Existence of positive solutions for the predator-prey system with Ivlev's type functional response
摘要
Abstract
The steady-state problem of the Ivlev's type predator-prey systems with prey and predator both having linear density restricts is studied. The conditions for the two populations' coexistence are looked for. Using eigenvalue theory, perturbation theory and bifurcation theory of linear operator, the bifurcation from constant steady-state solution in a certain condition is obtained, when diffusion coefficient as bifurcation parameter is used. Moreover, the local branch could extend to global branch and the structure near bifurcation point is given. Two populations can coexist with appropriate diffusion coefficient of predator (natural enemy).关键词
捕食系统/Ivlev型功能反应/特征值/分歧/不动点指标Key words
predator-prey system/ Ivlev's type functional response/ eigenvalue/ bifurcation/ fixed point index分类
数理科学引用本文复制引用
查淑玲..具有Ivlev型功能反应的捕食系统的正解存在性[J].西北师范大学学报（自然科学版）,2012,48(6):5-8,4.基金项目
国家自然科学基金资助项目(10571115) （10571115）
陕西省教育厅基金资助项目(2010YKF537) （2010YKF537）
渭南师范学院基金资助项目(12YKS017) （12YKS017）
