A Finite Difference Approximation for a Coupled System of Nonlinear Size-Structured Populations

Abstract

We study a quasilinear nonlocal hyperbolic initial-boundary value problem that models the evolution of N size-structured subpopulations competing for common resources. We develop an implicit finite difference scheme to approximate the solution of this model. The convergence of this approximation to a unique bounded variation weak solution is obtained. The numerical results for a special case of this model suggest that when subpopulations are closed under reproduction, one subpopulation survives and the others go to extinction. Moreover, in the case of open reproduction, survival of more than one population is possible.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA453957

Entities

People

  • A. S. Ackleh
  • H. Thomas Banks
  • K. Deng

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Competition
  • Computations
  • Convergence
  • Dynamics
  • Education
  • Equations
  • Extinction
  • Information Operations
  • Intervals
  • Inverse Problems
  • Mathematics
  • Method Of Characteristics
  • North Carolina

Fields of Study

  • Mathematics

Readers

  • Aquatic Ecology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)