期刊文献+

具有收获率和Crowley-Martin型功能反应的脉冲捕食系统的4个正概周期解

Four Positive Almost Periodic Solutions of an Impulsive Predator-prey System with Harvesting Terms and Crowley-Martin Functional Response
下载PDF
导出
摘要 研究了一类具有收获率和Crowley-Martin型功能反应的脉冲捕食系统的正概周期解.通过利用重合度理论延拓定理和不等式分析技巧,获得了该系统至少存在4个正概周期解的充分条件,推广和改进了早期文献的相关结果. This paper investigates the existence of positive almost periodic solutions for an impulses predator-prey system with Crowley-Martin functional response and harvesting terms.By using a continuation theorem through coincidence degree theory and inequality analysis technique,some sufficient conditions for the existence of at least four positive almost periodic solutions of the system are obtained,which generalize and improve the related results of early literature.
作者 姚晓洁 秦发金 YAO Xiaojie;QIN Fajin(College of Mathematics and Computer Science, Guangxi Science & Technology Normal University, Laibin, Guangxi 546199, China)
出处 《广西科技师范学院学报》 2017年第1期124-131,共8页 Journal of Guangxi Science & Technology Normal University
基金 广西高校科学技术研究项目(YB2014468) 广西教改项目(2015JGZ160)
关键词 收获率 Crowley-Martin型功能反应 脉冲捕食系统 4个正概周期解 重合度 Harvesting terms Crowley-Martin functional response impulsive predator-prey system four positive almost periodic solutions coincidence degree
  • 相关文献

参考文献10

二级参考文献90

  • 1付桂芳,马万彪.由微分方程所描述的微生物连续培养动力系统(I)[J].微生物学通报,2004,31(5):136-139. 被引量:16
  • 2徐瑞,郝飞龙.一个具有时滞和反馈控制的单种群模型的全局稳定性(英文)[J].生物数学学报,2005,20(1):1-6. 被引量:5
  • 3Pathak S,Maiti A,Samanta G P.Rich dynamics of a food chain model with Hassell-Varley type functional responses[J].Applied Mathematics and Computation,2009,208(2):303-317. 被引量:1
  • 4Upadhyay R K,Naji R K.Dynamics of a three species food chain model with Crowley-Martin type functional response[J].Chaos,Solitons and Fractals,2009,42(3):1337-1346. 被引量:1
  • 5Upadhyay R K,Raw S N,Rai V.Dynamical complexities in a tri-trophic hybrid food chain model with Holling typeⅡand Crowley-Martin functional responses[J].Nonlinear Analysis:Modelling and Control,2010,15(3):361-375. 被引量:1
  • 6Shi Xiangyun,Zhou Xueyong,Song Xinyu.Analysis of a stage-structured predator-prey model with Crowley-Martin function.[J].Journal of Applied Mathematics and Computing,2011,36(1-2):459-472. 被引量:1
  • 7Stanfer Hilger.Analysis on measure chains-a unified approach to continuous and discrete calsulus[J].Results in Mathematics,1990,18(1-2):18-56. 被引量:1
  • 8Zhuang Kejun.Periodic solutions for a three species predator-prey system on time scales[J].International Journal of Dynamical Systems and Differential Equations,2011,3(1/2):3-11. 被引量:1
  • 9Gaines R,Mawhin J.Coincidence Degree and Nonlinear Differential Equations[M].Berlin:Springer Verlag,1977. 被引量:1
  • 10Crowley P H, Martin E K. Fnctional responses and interference within and between year classes of a dragonfly population. Journal of the North American Benthological Society, 1989, 8(1): 211-221. 被引量:1

共引文献20

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