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Volume 27, Issue 2
Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response

Yijie Meng & Shiwu Xiao

DOI: 10.4208/jpde.v27.n2.3

J. Part. Diff. Eq., 27 (2014), pp. 125-135.

Published online: 2014-06

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  • Abstract
In this paper, we study a class of reaction-diffusion systemswith Beddington-DeAngelis function response. The global asymptotic convergence is established by using the comparison principle and the method of monotone iterations, which is via successive improvement of upper-lower solutions function.
  • Keywords

Predator-prey diffusion system asymptotic behavior Beddington-DeAngelis function

  • AMS Subject Headings

35B35, 35K51

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yijie_meng@sina.com (Yijie Meng)

xshiwu@sina.com (Shiwu Xiao)

  • BibTex
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  • TXT
@Article{JPDE-27-125, author = {Meng , Yijie and Xiao , Shiwu}, title = {Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {2}, pages = {125--135}, abstract = { In this paper, we study a class of reaction-diffusion systemswith Beddington-DeAngelis function response. The global asymptotic convergence is established by using the comparison principle and the method of monotone iterations, which is via successive improvement of upper-lower solutions function.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n2.3}, url = {http://global-sci.org/intro/article_detail/jpde/5130.html} }
TY - JOUR T1 - Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response AU - Meng , Yijie AU - Xiao , Shiwu JO - Journal of Partial Differential Equations VL - 2 SP - 125 EP - 135 PY - 2014 DA - 2014/06 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n2.3 UR - https://global-sci.org/intro/article_detail/jpde/5130.html KW - Predator-prey diffusion system KW - asymptotic behavior KW - Beddington-DeAngelis function AB - In this paper, we study a class of reaction-diffusion systemswith Beddington-DeAngelis function response. The global asymptotic convergence is established by using the comparison principle and the method of monotone iterations, which is via successive improvement of upper-lower solutions function.
Yijie Meng & Shiwu Xiao. (2019). Global Asymptotic Behavior of a Predator-prey Diffusion System with Beddington-DeAngelis Function Response. Journal of Partial Differential Equations. 27 (2). 125-135. doi:10.4208/jpde.v27.n2.3
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