| 摘要: |
| 针对一类具有Crowlay-Martin功能性反应的偏害系统的动力学行为，研究其系统平衡点的局部稳定性。利用Sotomayor定理，证明了在适当的条件下存在鞍结分支和跨临界分支，并通过数值模拟验证了主要结论。 |
| 关键词: 鞍结分支 跨临界分支 偏害模型 Crowley-Martin功能性反应 |
| DOI：10.3969/J.ISSN.1000-5137.2020.05.003 |
| 分类号:O19 |
| 基金项目:The Natural Science Foundation of Fujian Province (2018J01662) |
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| Stability and bifurcation analysis of an amensalism model with Crowley-Martin type functional response |
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WEI Zhen, GAN Shengjin
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School of Electronic and Information Engineering, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian, China
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| Abstract: |
| In this paper, an amensalism model with Crowley-Martin type functional response is proposed. The existence and stability of all possible equilibria of the system are investigated. We also prove that there are saddle-node bifurcation and transcritical bifurcation under suitable conditions by Sotomayor's theorem. An example with its numeric simulations is given to verify our main results. |
| Key words: saddle-node bifurcation transcritical bifurcation amensalism model Crowley-Martin type functional response |
