摘要
该文建立了具有时滞的捕食者-猎物-共生者系统模型,对模型的正性,持久性和局部稳定性记性了分析.得出此系统具有稳定的可能,正平衡点也具有渐近稳定的可能.最后用棉蚜生态系统中的瓢虫、棉蚜、蚂蚁的相关数据进行数值模拟,得出猎物和捕食者的发育历期(时滞)对整个系统具有重要影响,若发育历期过长,则整个系统将具有周期性的波动.
In this paper, we establish a predator-prey-rnutualist system with time delay, and the positive, persistence and local stability of the system are analyzed. The conclusion shows that it is possible that the system is stable, and the positive equilibrium point is asymptotically stable. Finally numerical simulation with the relevant data in the ecosystem of ladybirds, cotton aphids and ants.The results show that development duration （time delay） of the prey and predator has an important influence on the whole system, and if growth duration is too long, the whole system will have periodic fluctuations.
作者
郑立飞
郭洁
吴美华
王小瑞
万阿英
Time Delay;Predator-prey-mutualist;Local Stability;Numerical modeling
出处
《数学物理学报（A辑）》
CSCD
北大核心
2018年第5期1001-1013,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(11461024)
呼伦贝尔市科技局项目(9110/KY0156)
西北农林科技大学基本科研业务费专项资金(2014YB023
2452015086
z109021561)
陕西省扶持学科数学学科基金(14SXZD007)~~
