Journal of applied mathematics & informatics

  • 제6권2호
  • /
  • Pages.455-466
  • /
  • 1999
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON A CERTAIN FINITE DIFFERENCE SCHEME FOR A MODEL FOR DIFFUSION OF BIOLOGICAL POPULATIONS

  • 발행 : 1999.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this note we present a numerical scheme for finding an approxximate solution of an equation which can be viewed as a model for spatial diffusion of age-depednent biological populations. Discretization of the model yields a linear system with a block tridi-agonal matrix. Our main concern will be discussion of stability for this scheme by examining the eigenvalues of the block tridiagonal matrix. Numerical results are presented.

키워드

참고문헌

  1. Grune and stratton Some remarks on changing populations: The kinetire of cell proliferation H.Von Foerster
  2. Arch. Rational Mech. Anal. v.54 Nonlinear age dependent population dynamics M.E.Gurtin;R.C.MacCamy
  3. J. Differential Equations v.48 Some questions and open problems in cotinuum mechanics and population dynamics M.E.Gurtin
  4. Soc. Ind. Appl. Math. Mathematical theories of populations: Demographics, Genetics and Epidemics F.Hoppenstadt
  5. J. Differential Equations v.39 A population model with nonlinear diffusion R.C.MacCamy
  6. SIAM J. Appl. Math. v.32 A nonlinear age-dependent model of single species population dynamics K.E.Swick