[1]焦建军,李利梅.污染环境下具瞬时与非瞬时脉冲出生单种群动力学模型研究[J].南京师范大学学报(自然科学版),2018,41(04):1.[doi:10.3969/j.issn.1001-4616.2018.04.001]
　Jiao Jianjun,Li Limei.Dynamics of a Single Population Model with Instantaneous andNon-instantaneous Birth Pulse in a Polluted Environment[J].Journal of Nanjing Normal University(Natural Science Edition),2018,41(04):1.[doi:10.3969/j.issn.1001-4616.2018.04.001]
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污染环境下具瞬时与非瞬时脉冲出生单种群动力学模型研究()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第41卷
期数:
2018年04期
页码:
1
栏目:
·数学与计算机科学·
出版日期:
2018-12-31

文章信息/Info

Title:
Dynamics of a Single Population Model with Instantaneous andNon-instantaneous Birth Pulse in a Polluted Environment
文章编号:
1001-4616(2018)04-0001-06
作者:
焦建军1; 李利梅2
(1.贵州财经大学数统学院,贵州 贵阳 550025)(2.贵州财经大学继续教育学院,贵州 贵阳 550025)
Author(s):
Jiao Jianjun1; Li Limei2
(1.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)(2.School of Continuing Education,Guizhou University of Finance and Economics,Guiyang 550025,China)
关键词:
环境毒素; 瞬时脉冲出生; 非瞬时脉冲出生; 灭绝; 持久
Keywords:
environmental toxin; instantaneous birth pulse; noninstantaneous birth pulse; extinct; permanence
分类号:
O175.3
DOI:
10.3969/j.issn.1001-4616.2018.04.001
文献标志码:
A
摘要:
建立污染环境下具瞬时与非瞬时脉冲出生单种群动力学模型,利用常微分方程及差分分析方法,获得了系统种群灭绝和持久生存的控制条件,为污染环境中的生物资源管理提供了可靠的管理策略.
Abstract:
In this paper,we consider a single population model with instantaneous and non-instantaneous birth pulse in a polluted environment. By methods of ordinary differential equations and difference equations,we obtain the controlling conditions of extinct and permanence of system population. The conclusions prove management tactics for biological resource in polluted environment.

参考文献/References:

[1] 焦建军,文乾英. 具脉冲出生与脉冲输入环境毒素的单种群动力学模型研究[J]. 数学的实践与认识,2014,44(22):299-304.
[2]焦建军,鲍磊,陈兰荪. 具脉冲出生与脉冲收获阶段结构单独种群动力学模型[J]. 吉林大学学报(理学版),2011,49(1):6-10.
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[6]JIAO J J,LONG W,CHEN L S. A single stages-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin[J]. Nonlinear analysis:real world applicationgs,2009,10(5):3073-3081.
[7]栾施,刘兵,张丽霞. 一个污染环境中的单种群模型的动力学性质[J]. 生物数学学报,2011,26(4):689-694.
[8]LIU B,CHEN L S,ZHANG Y J. The effects of impulsive toxicant anput on a population in a polluted environment[J]. J Biol Syst,2003(11):265-287.
[9]LAKSMIKANTHAM V. Theory of impulsive differential equations[M]. Singapore:World Scientific,1989.

备注/Memo

备注/Memo:
收稿日期:2018-04-22.
基金项目:国家自然科学基金项目(11761019,11361014)、贵州省高层次创新型人才项目(20164035)、贵州省微分-差分动力系统应用科技创新人才团队(20175658)、贵州财经大学与商务部联合基金项目(2016SWBZD18).
通讯联系人:焦建军,博士,教授,研究方向:生物数学. E-mail:jiaojianjun05@126.com
更新日期/Last Update: 2018-12-30