期刊文献+

具有双边状态反馈脉冲控制的食饵–捕食者模型的动力分析

Dynamic Analysis of Prey-Predator Model with Two State-Feedback Impulse Controls
下载PDF
导出
摘要 为进行害虫的防治,本文在具有Smith增长且具有Beddington-DeAngelis型功能反应的食饵–捕食者系统的基础上加入双边状态反馈脉冲控制,从而得到新的模型,并证明了其双边阶一周期解的存在性。同时,也对所得的理论结果通过数值模拟进行验证。 In order to control insect pests, a model with two state-feedback impulse controls is applied to the predator-predator system with Smith growth function and Beddington-DeAngelis type functional response. We also prove the existence of order-1 periodic solution. At the same time, the theoretical results are verified by numerical simulation.
作者 杨韶宇 张蒙
出处 《应用数学进展》 2024年第6期2666-2674,共9页 Advances in Applied Mathematics
  • 相关文献

参考文献4

二级参考文献28

  • 1张树文,陈兰荪.具有脉冲效应和综合害虫控制的捕食系统[J].系统科学与数学,2005,25(3):264-275. 被引量:30
  • 2TANG Sanyi’Cheke Robert A,XIAO Yanni. Effects of predator and prey dispersal on success or failureof biological control[J]. Bulletin of Mathematical Biology.2009,71:2025-2047. 被引量:1
  • 3MENG Xinzhu’CHEN Lansun,CHENG Huidong. Two profitless delays for the SEIRS epidemic diseasemodel with nonlinear incidence and pulse vaccination[J]. Appl. Math. Comput. ,2007,186 (1) : 16-529. 被引量:1
  • 4LIU Bing, ZHANG Yujuan,CHEN Lansun. Dynamic complexities of a Holling I predator prey model concern-ing periodic biological and chemical control[J]. Chaos . Solitons and Fractals . 2004,22(1) : 123-134. 被引量:1
  • 5MENG Xinzhu,CHEN Lansun,LI Qingxue. The dynamics of a impulsive delay predator-prey model withvariable coefficients[J]. Appl. Math. Comput. ,2008,198 (1):61-374. 被引量:1
  • 6LIU Bing,ZHANG Yi,CHEN Lansun. Dynamic complexities of a Holling I predator-prey model concern-ing periodic biological and chemical control[J]. Chaos,Solitons and Fractals.2004 .22(1) : 123-134. 被引量:1
  • 7JIANG Guirong,LU Qishao,PENG Linping. Impulsive ecological control of a stage-structured pest man-agement system[J]. Mathematical Bioscience and Engineering,2005,2(2) :329-344. 被引量:1
  • 8DOnofrio A. Pulse vaccination strategy in the SIR epidemic model:global asymptotic stable eradication inpresence of vaccine failures[J]. Mathematical and Computer Modelling? 2002.36 ; 473-489. 被引量:1
  • 9JIAO Jianjun, Meng Xinzhu.CHEN Lansun. A stage-structured Holling mass defence predator-prey mod-el with impulsive perturbations on predators[J]. Appl. Math. Comput. ?2007 .189(2) : 1448-1458. 被引量:1
  • 10NIE Linfeif PENG Jigen,TENG Zhidong, HU Lin. Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsinve effects [J]. Journal of Computational andApplied Mathematics,2009,224:544-555. 被引量:1

共引文献12

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