Volume 3, Issue 4
A Method for Numerical Analysis of a Lotka-Volterra Food Web Model

SETH ARMSTRONG AND JIANLONG HAN

Int. J. Numer. Anal. Mod. B, 3 (2012), pp. 442-459

Published online: 2012-03

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  • Abstract
We study the existence, uniqueness and continuous dependence on initial data of the solution for a Lotka-Volterra cascade model with one basal species and hierarchal predation. A uniquely solvable, stable, semi-implicit finite-difference scheme is proposed for this system that converges to the true solution uniformly in a finite interval.
  • AMS Subject Headings

37C75 65L12

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-3-442, author = {SETH ARMSTRONG AND JIANLONG HAN}, title = {A Method for Numerical Analysis of a Lotka-Volterra Food Web Model}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {4}, pages = {442--459}, abstract = {We study the existence, uniqueness and continuous dependence on initial data of the solution for a Lotka-Volterra cascade model with one basal species and hierarchal predation. A uniquely solvable, stable, semi-implicit finite-difference scheme is proposed for this system that converges to the true solution uniformly in a finite interval.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/294.html} }
TY - JOUR T1 - A Method for Numerical Analysis of a Lotka-Volterra Food Web Model AU - SETH ARMSTRONG AND JIANLONG HAN JO - International Journal of Numerical Analysis Modeling Series B VL - 4 SP - 442 EP - 459 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/294.html KW - Finite difference scheme KW - convergence AB - We study the existence, uniqueness and continuous dependence on initial data of the solution for a Lotka-Volterra cascade model with one basal species and hierarchal predation. A uniquely solvable, stable, semi-implicit finite-difference scheme is proposed for this system that converges to the true solution uniformly in a finite interval.
SETH ARMSTRONG AND JIANLONG HAN. (2012). A Method for Numerical Analysis of a Lotka-Volterra Food Web Model. International Journal of Numerical Analysis Modeling Series B. 3 (4). 442-459. doi:
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