Dynamically consistent discrete Lotka–Volterra competition systems

References

• Anguelov , R. and Lubuma , J.M.-S. 2003 . Nonstandard finite difference method by nonlocal approximation . Math. Comput. Simulat. , 61 : 465 – 475 .
   Web of Science ®Google Scholar
• Cushing , J.M. , LeVarge , S. , Chitnis , N. and Henson , S.M. 2004 . Some discrete competition models and the competitive exclusion principle . J. Differ. Equ. Appl. , 10 : 1139 – 1151 .
   Web of Science ®Google Scholar
• Liu , P. and Elaydi , S.N. 2001 . Discrete competitive and cooperative models of Lotka-Volterra type . J. Comput. Anal. Appl. , 3 : 53 – 73 .
   Web of Science ®Google Scholar
• Mickens , R.E. 2005 . Dynamic consistency: A fundamental principle for constructing NSFD schemes for differential equations . J. Differ. Equ. Appl. , 11 : 645 – 653 .
   Web of Science ®Google Scholar
• Smith , H.L. 1998 . Planar competitive and cooperative difference equations . J. Differ. Equ. Appl. , 3 : 335 – 357 .
   Google Scholar
• Wu Roeger , L.-I. 2009 . Nonstandard finite difference schemes for differential equations with n+1 distinct fixed-points . J. Differ. Equ. Appl. , 15 : 133 – 151 .
   Web of Science ®Google Scholar
• Wu Roeger , L.-I. Dynamically consistent finite difference schemes for the differential equation dy/dt = bnyn+bn − 1 yn − 1 +…+b 1 y+b 0 . J. Differ. Equ. Appl. , (to appear)
   Google Scholar