| 摘要: |
| 研究了一类带有合作项的两物种竞争模型,探究了物种内部的合作对系统的动力学行为带来的影响.利用特征值理论,得到了平凡解和半平凡解的局部渐近稳定性.再利用系统的单调性,证明了正解的存在性及稳定性. |
| 关键词: 竞争模型 合作 稳定性 正解 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.002 |
| 分类号:O175.26 |
| 基金项目:国家自然科学基金(11971317,11471083) |
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| The dynamical behavior of two-species competition model with cooperation term |
|
SONG Ke, XU Benlong
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Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| In this article, we discusses a class of two-species competition model with cooperation term, discovered the effect of cooperation actor among species on dynamical behavior. First, we use eigenvalue theory to get the local stability of trivial and semi-trivial solutions. Then we prove existence and stability of positive solution by the monotonicity of system. |
| Key words: competition model cooperation stability positive solution |
