ZHANG Jiehua.Extinction of a two species discrete competitive systemwith the effects of toxic substances[J].Journal of Yanbian University,2018,44(03):208-212.
具毒素影响的两种群离散竞争模型的绝灭性
- Title:
- Extinction of a two species discrete competitive system with the effects of toxic substances
- Keywords:
- discrete; competitive; toxicology; extinction; stability
- 分类号:
- O175.14
- 文献标志码:
- A
- 摘要:
- 研究了双方具有毒素作用和非线性相互抑制项的非自治两种群浮游生物竞争模型.通过构造适当的绝灭函数,得到了保证系统中某个种群绝灭而另外一个种群全局吸引的充分性条件.本文所得结果补充了文献[2]和[11]的研究结果.
- Abstract:
- A two species discrete non-autonomous competitive phytoplankton system with nonlinear inter-inhibition terms and toxin producing species is studied in this paper. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and the global attractivity of the other one are obtained. Our results supplement the conclusion in the literature [2] and [11].
参考文献/References:
[1] Chattopadhyay J. Effect of toxic substances on a two-species competitive system[J]. Ecol Model, 1996,84:287-289.
[2] Yue Qin. Extinction for a discrete competition system with the effect of toxic substances[J]. Adv Differ Equ, 2016,2016(1):1-15.
[3] Li Zhong, Chen Fengde. Extinction in two-dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances[J]. Appl Math Comput, 2006,182(1):684-690.
[4] Li Zhong, Chen Fengde. Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances[J]. Dynam Contin Discrete Impuls Syst, Ser B, Appl Algorithms, 2008,15:165-178.
[5] Chen Lijuan, Chen Fengde. Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls[J]. Inter J Biomath, 2015,8(1):1550012.
[6] Xie Xiangdong, Xue Yalong, Wu Runxin, et al. Extinction of a two species competitive system with nonlinear inter-inhibition terms and one toxin producing phytoplankton[J]. Adv Diff Equ, 2016,2016:258.
[7] Wang Qinglong, Liu Zhijun, Li Zuxiong, et al. Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system[J]. Inter J Biomath, 2014,7(4):1450040.
[8] Chen Fengde, Gong Xiaojie, Chen Wanlin. Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances(II)[J]. Dyn Contin Discrete Impuls Syst, Ser B, Appl Algorithms, 2013,20:449-461.
[9] Liu Zhijun, Chen Lansun. Periodic solution of a two-species competitive system with toxicant and birth pulse[J]. Cha Sol Frac, 2007,32:1703-1712.
[10] Chen Fengde. Permanence for the discrete mutualism model with time delays[J]. Math Comput Model, 2008,47:431-435.
[11] 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.
相似文献/References:
[1]余胜斌.具毒素影响的连续型竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2016,42(03):196.
YU Shengbin.Extinction and stability in a continuous competitive system with the effect of toxic substances[J].Journal of Yanbian University,2016,42(03):196.
[2]吴丽萍.一类离散捕食者-食饵-互惠模型的持久性[J].延边大学学报(自然科学版),2017,43(04):344.
WU Liping.Permanence of the discrete predator-prey-mutualist system[J].Journal of Yanbian University,2017,43(03):344.
备注/Memo
收稿日期: 2018-06-23 基金项目: 福建省教育厅中青年教师教育科研项目(JAT170771)
作者简介: 张杰华(1983—),女,副教授,研究方向为生物数学.