SHI Zhigao.Research of a kind of predator -prey system with fear effect[J].Journal of Yanbian University,2020,46(01):28-31.
一类具有恐惧效应的食饵- 捕食者系统的研究
- Title:
- Research of a kind of predator -prey system with fear effect
- 文章编号:
- 1004-4353(2020)01-0028-04
- Keywords:
- fear effect; predator -prey system; limit cycle; data simulation
- 分类号:
- O175.12
- 文献标志码:
- A
- 摘要:
- 研究一类具有恐惧效应的食饵-捕食者系统.首先通过分析系统的平衡点性态,得出了系统存在正平衡点的条件; 其次利用Dulac判别法得出了系统在正平衡点附近不存在极限环的结论; 最后利用数据仿真验证了所得结论的正确性.
- Abstract:
- A kind of predator -prey system with fear effect is considered. Firstly, the equilibrium state of the system is analyzed, and the condition for the existence of positive equilibrium point is obtained. Secondly, the conclusion that there is no limit cycle near the positive equilibrium point is obtained by using Dulac discriminant method. Finally, the conclusion is verified by data simulation.
参考文献/References:
[1] 张敬,芦雪娟,何延治.一类具有Holling -IV型功能性反应捕食模型的定性分析[J].延边大学学报(自然科学版),2013,39(2):93-96.
[2] 石志高.两种群具有线性控制项的Holling -IV类食饵-捕食系统的鞍结分岔下的轨线结构[J].闽江学院学报,2016,37(2):12-18.
[3] LEE J, BAEK H. Dynamics of a Beddington -DeAngelis -type predator -prey system with constant rate harvesting[J]. Electronic Journal of Qualitative Theory of Differential Equations, 2017(1):1-20.
[4] 伏升茂,苏发儒.带恐惧因子和强Allee效应的捕食者-食饵扩散模型的Hopf分支[J].西北师范大学学报(自然科学版),2019,55(3):14-20.
[5] 夏增琼,李桂花.具有恐惧的捕食与被捕食系统的动力学分析[J].数学的实践与认识,2017,47(20):277-282.
[6] 张芷芬,丁同仁,黄文灶,等.微分方程定性理论[M].北京:科学出版社,1985.
相似文献/References:
[1]石志高.一类具有非线性密度制约的捕食系统的定性分析[J].延边大学学报(自然科学版),2018,44(03):217.
SHI Zhigao.Qualitative analysis of a kind of predator-prey system withnonlinear density dependence[J].Journal of Yanbian University,2018,44(01):217.
备注/Memo
收稿日期: 2020-01-12 基金项目:福建省中青年教师教育科研项目(JT180586)
作者简介: 石志高(1983-),男,讲师,研究方向为微分方程定性理论.