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10.1186/s40064-015-1618-y

http://scihub22266oqcxt.onion/10.1186/s40064-015-1618-y
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C4759445!4759445!26933625
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suck abstract from ncbi


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pmid26933625      Springerplus 2016 ; 5 (ä): ä
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  • Neimark-Sacker bifurcation of a two-dimensional discrete-time predator-prey model #MMPMID26933625
  • Khan AQ
  • Springerplus 2016[]; 5 (ä): ä PMID26933625show ga
  • In this paper, we study the dynamics and bifurcation of a two-dimensional discrete-time predator-prey model in the closed first quadrant \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}_+^2$$\end{document}R+2. The existence and local stability of the unique positive equilibrium of the model are analyzed algebraically. It is shown that the model can undergo a Neimark-Sacker bifurcation in a small neighborhood of the unique positive equilibrium and an invariant circle will appear. Some numerical simulations are presented to illustrate our theocratical results and numerically it is shown that the unique positive equilibrium of the system is globally asymptotically stable.
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