WU Liping.Permanence of the discrete predator-prey-mutualist system[J].Journal of Yanbian University,2017,43(04):344-349.
一类离散捕食者-食饵-互惠模型的持久性
- Title:
- Permanence of the discrete predator-prey-mutualist system
- 关键词:
- 离散; 捕食者-食饵-互惠模型; 持久性
- Keywords:
- discrete; predator-prey-mutualist system; permanence
- 分类号:
- O175.14
- 文献标志码:
- A
- 摘要:
- 研究一类离散捕食者-食饵-互惠模型的持久性问题.通过运用差分不等式的有关理论及一些引理,得到了保证该系统永久持续生存的充分性条件.本文的所得结果补充了文献[1]的工作.
- Abstract:
- The permanence of the discrete predator-prey-mutualist system is studied in this paper. By applying the theory of difference inequality and some lemmas, sufficient conditions which guarantee the permanence of the system are obtained. The results supplement the results of literature [1].
参考文献/References:
[1] Yang L Y, Xie X D, Chen F D, et al. Permanence of the periodic predator-prey-mutualist system[J]. Adv Differ Equ, 2015,2015:331. https://doi.org/10.1186/s13662-015-0654-9.
[2] 陈兰荪,宋新宇,陆征一.数学生态学模型与研究方法[M].成都:四川科学技术出版社,2003:1.
[3] Chen F D. Permanence for the discrete mutualism model with time delays[J]. Math Comput Model, 2008,47(3/4):431-435.
[4] 余胜斌.一类离散非自治竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2015,41(4):279-284.
[5] Li Y K, Zhang T W. Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control[J]. Nonlinear Anal RWA, 2011,12(3):1850-1864.
[6] Yang X T, Liu Y Q, Chen J. Uniform persistence for a discrete predator-prey system with delays[J]. Appl Math Comput, 2011,218(4):1174-1179.
[7] Han R Y, Xie X D, Chen F D. Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls[J]. Adv Differ Equ, 2016,2016:199. https://doi.org/10.1186/s13662-016-0889-0.
[8] Yang W S, Li X P. Permanence of a discrete nonlinear n species cooperation system with time delays and feedback controls[J]. Appl Math Compu, 2011,218(7):3581-3586.
相似文献/References:
[1]张杰华.具毒素影响的两种群离散竞争模型的绝灭性[J].延边大学学报(自然科学版),2018,44(03):208.
ZHANG Jiehua.Extinction of a two species discrete competitive systemwith the effects of toxic substances[J].Journal of Yanbian University,2018,44(04):208.
备注/Memo
收稿日期: 2017-08-03 基金项目: 福建省教育厅科技类项目(JAT160377)作者简介: 吴丽萍(1972—),女,副教授,研究方向为生物数学.