| A CONDITION OF THE EXISTENCE OF STABLE POSITIVE STEADY-STATE SOLUTIONS FOR A ONE PREDATOR TWO PREY SYSTEM |
| |
| 作者姓名： | 周笠 宋开泰 |
| |
| 作者单位： | [1]HuazhongUniversityofScienceandTechnology,Wuhan,430074 [2]DepartmentofMathematics,WuhanUniversity,Wuhan430072 |
| |
| 摘 要： | One predator two prey system is a research topic which has both the theoretical and practical values.This paper provides a natural condition of the existence of stable pcsitive steady-state solutions for the one predator two prey system.Under this conditon we study the existence of the positive steady-state solutions at vicinity of the triple eigenvalue by implicit function theorem,discuss the positive stable solution problem bifureated from the semi-trivial solutions containing two positive components with the help of bifurcation and perturbation methods.
|
| 关 键 词： | 食物链 生态种群 正稳定状态解 稳定性 |
| 收稿时间： | 2 December 1991 |
A condition of the existence of stable positive steady-state solutions for a one predator two prey system |
| |
| Zhou Li,Song Kaitai.A CONDITION OF THE EXISTENCE OF STABLE POSITIVE STEADY-STATE SOLUTIONS FOR A ONE PREDATOR TWO PREY SYSTEM[J].Applied Mathematics A Journal of Chinese Universities,1993,8(2):111-125. |
| |
| Authors: | Zhou Li Song Kaitai |
| |
| Institution: | (1) Huazhong University of Science and Technology, 430074 Wuhan;(2) Department of Mathematics, Wuhan University, 430072 Wuhan |
| |
| Abstract: | One predator two prey system is a research topic which has both the theoretical and practical values. This paper provides a natural condition of the existence of stable positive steady-state solutions for the one predator two prey system. Under this condition we study the existence of the positive steady-state solutions at vicinity of the triple eigenvalue by implicit function theorem, discuss the positive stable solution problem bifurcated from the semi-trivial solutions containing two positive components with the help of bifurcation and perturbation methods. |
| |
| Keywords: | One Predator Two Prey System Bifurcation Perturbation Stability of Positive Steady-state Solution |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
