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  • 标题:Global attractivity of a discrete cooperative system incorporating harvesting
  • 本地全文:下载
  • 作者:Fengde Chen ; Huiling Wu ; Xiangdong Xie
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:268
  • DOI:10.1186/s13662-016-0996-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A discrete cooperative model incorporating harvesting that takes the form x ( k + 1 ) = x ( k ) exp { r 1 − E q − b 1 x ( k ) − a 1 x ( k ) y ( k ) + k 1 } , y ( k + 1 ) = y ( k ) exp { r 2 − b 2 y ( k ) − a 2 y ( k ) x ( k ) + k 2 } $$ egin{aligned}& x(k+1) = x(k) xp iggl{ r_)-Eq-b_)x(k)- rac {a_)x(k)}{y(k)+k_)} iggr} , \& y(k+1) = y(k) xp iggl{ r_,-b_,y(k)- rac{a_,y(k)}{x(k)+k_,} iggr} nd{aligned}$$ is proposed and studied in this paper. By using the iterative method and the comparison principle of difference equations, a set of sufficient conditions which ensure the global attractivity of the interior equilibrium of the system is obtained. Numeric simulations show the feasibility of the main result.
  • 关键词:global attractivity ; cooperation ; equilibrium ; iterative method
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