NONEXISTENCE OF PERIODIC ORBITS FOR PREDATOR-PREY SYSTEM WITH STRONG ALLEE EFFECT IN PREY POPULATIONS

被引：0
|
作者：
Wang, Jinfeng [1 ]
Shi, Junping [2 ]
Wei, Junjie [3 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Predator-prey system; nonexistence of periodic orbits; Dulac criterion; global bifurcation; LIMIT-CYCLES; GLOBAL STABILITY; UNIQUENESS; ENRICHMENT; PARADOX; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use Dulac criterion to prove the nonexistence of periodic orbits for a class of general predator-prey system with strong Allee effect in the prey population growth. This completes the global bifurcation analysis of typical predator-prey systems with strong Allee effect for all possible parameters.
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页数：14
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