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.