摘要
在蚜虫种群折叠突变模型的基础上,本文考虑到作物种群对蚜虫种群的影响作用,建立麦蚜种群广义系统模型.利用广义系统稳定性理论,得到其各平衡点稳定的充分条件.最后通过数值模拟验证结论的正确性.
Consider the influence of crop population on the wheat aphid populations, a singular system model of wheat aphid populations is build up based on the model with fold catastrophe. Using the stability theory of singular systems, the corresponding sufl:ieient conditions are give. Finally, numerical simulations are carried out to prove the results.
出处
《生物数学学报》
2016年第1期101-108,共8页
Journal of Biomathematics
基金
辽宁省教育厅项目(L2014454)
关键词
突变现象
广义系统
麦蚜种群
Catastrophe phenomenon
Singular system
Wheat aphid populations