期刊文献+

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 被引量:1

Dynamics of a Single Population Model with Instantaneous and Non-instantaneous Birth Pulse in a Polluted Environment
下载PDF
导出
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. 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.
作者 焦建军 李利梅 Jiao Jianjun;Li Limei(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;School of Continuing Education,Guizhou University of Finance and Economics,Guiyang 550025,China)
出处 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2018年第4期1-6,共6页 Journal of Nanjing Normal University(Natural Science Edition)
基金 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)
关键词 环境毒素 瞬时脉冲出生 非瞬时脉冲出生 灭绝 持久 environmental toxin instantaneous birth pulse noninstantaneous birth pulse extinct permanence
  • 相关文献

参考文献3

二级参考文献12

  • 1Lakshmikantham V, Bainov D D, Simeonov P. Theory of Impulsive Differential Equations [ M ]. Singapor: World Scientific, 1989.
  • 2JIAO Jian-jun, PANG Guo-ping, CHEN Lan-sun, et al. A Delayed Stage-Structured Predator-Prey Model with Impulsive Stocking on Prey and Continuous Harvesting on Predator [J]. Applied Mathematics and Computation, 2008, 195 ( 1 ) : 316-325.
  • 3JIAO Jian-jun, CHEN Lan-sun. Global Attractivity of a Stage-Structure Variable Coefficients Predator-Prey System with Time Delay and hnpulsive Perturbations on Predators [ J ]. International Journal of Biomathematics, 2008, 1 (2) : 197-208.
  • 4JIAO Jian-jun, YANG Xiao-song, CHEN Lan-sun, et al. Effect of Delayed Response in Growth on the Dynamics of a Chemostat Model with Impulsive Input [J]. Chaos, Solitons and Fractals, 2009, 42(4) : 2280-2287.
  • 5DONG Ling-zhen, CHEN Lan-sun, SUN Li-hua. Extinction and Permanence of the Predator-Prey System with Stocking of Prey and Harvesting of Predator hnpulsively [ J]. Math Meth Appl Sci, 2006, 29: 415-425.
  • 6Clark C W. Mathematical Bioeconomies [ M]. 2nd ed. New York: Wiley, 1990.
  • 7KUANG Yang. Delay Differential Equation with Application in Population Dynamics [ M ]. New York : Academic Press, 1987 : 67-70.
  • 8JIAO Jian-jun, CHEN Lan-sun, LONG Wen. Pulse Fishing Policy for a Stage-Structured Model with State-Dependent Harvesting [J]. Journal of Biological System, 2007, 15(3) : 409416.
  • 9Jury E L. Inners and Stability of Dynamics System [ M]. New York: Wiley, 1974.
  • 10张茜,刘兵,石丽云.在脉冲污染环境中具有阶段结构的捕食食饵Gompertz模型的动力学性质[J].生物数学学报,2010,25(2):299-307. 被引量:6

共引文献21

同被引文献6

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部