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Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls
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  • 作者:Qin Yue (1)

    1. College of Finance and Mathematics
    ; West Anhui University ; Liuan ; Anhui ; 237000 ; P.R. China
  • 关键词:permanence ; Leslie ; Gower model ; Beddington ; DeAngelis functional response ; feedback controls
  • 刊名:Advances in Difference Equations
  • 出版年:2015
  • 出版时间:December 2015
  • 年:2015
  • 卷:2015
  • 期:1
  • 全文大小:1,269 KB
  • 参考文献:1. Leslie, PH (1948) Some further notes on the use of matrices in population mathematics. Biometrika 35: pp. 213-245 CrossRef
    2. Leslie, PH (1958) A stochastic model for studying the properties of certain biological systems by numerical methods. Biometrika 45: pp. 16-31 CrossRef
    3. Aziz-Alaoui, MA, Daher Okiye, M (2003) Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes. Appl. Math. Lett. 16: pp. 1069-1075 CrossRef
    4. Yu, S (2012) Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes. Discrete Dyn. Nat. Soc. 2012:
    5. Zhu, Y, Wang, K (2011) Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes. J. Math. Anal. Appl. 384: pp. 400-408 CrossRef
    6. Yu, S, Chen, F (2014) Almost periodic solution of a modified Leslie-Gower predator-prey model with Holling-type II schemes and mutual interference. Int. J. Biomath. 7: CrossRef
    7. Yu, S (2014) Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response. Adv. Differ. Equ. 2014: CrossRef
    8. Pal, P, Mandal, P (2014) Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect. Math. Comput. Simul. 97: pp. 123-146 CrossRef
    9. Zhang, Z (2013) Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response. J. Appl. Math. 2013:
    10. Zhang, K, Li, J, Yu, A (2014) Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls. Abstr. Appl. Anal. 2014:
    11. Chen, F, Yang, J, Chen, L (2010) Note on the persistent property of a feedback control system with delays. Nonlinear Anal., Real World Appl. 11: pp. 1061-1066 CrossRef
    12. Chen, F, Yang, J, Chen, L, Xie, X (2009) On a mutualism model with feedback controls. Appl. Math. Comput. 214: pp. 581-587 CrossRef
    13. Wu, H, Yu, S (2013) Permanence, extinction, and almost periodic solution of a Nicholson鈥檚 blowflies model with feedback control and time delay. Discrete Dyn. Nat. Soc. 2013:
    14. Chen, F, Li, Z, Huang, Y (2007) Note on the permanence of a competitive system with infinite delay and feedback controls. Nonlinear Anal., Real World Appl. 8: pp. 680-687 CrossRef
  • 刊物主题:Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
  • 出版者:Springer International Publishing
  • ISSN:1687-1847
文摘
A modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response and feedback controls is studied. By applying the differential inequality theory, sufficient conditions which guarantee the permanence of the system are obtained. Our results improve the main results of Zhang et al. (Abstr. Appl. Anal. 2014:252579, 2014). One example is presented to verify our main results.

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