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Bounds on the total population for species governed by reaction-diffusion equations in arbitrary two-dimensional regions

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Publication:1213402
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DOI10.1007/BF02463493zbMath0295.92014OpenAlexW4243834733WikidataQ52881914 ScholiaQ52881914MaRDI QIDQ1213402

Gerald Rosen, Richard G. Fizell

Publication date: 1975

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463493


Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)


Related Items

On the Fisher and the cubic-polynomial equations for the propagation of species properties, A temporal study of diffusion effects on a population modelled by quadratic growth, Integral bounds for solutions of nonlinear reaction-diffusion equations, Effects of diffusion on the stability of the equilibrium in multi-species ecological systems



Cites Work

  • Bounds on the total particle number for species governed by reaction- diffusion equations in the infinite spatial domain
  • Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations
  • Restrictions on the applicability of Volterra's ecological equations
  • On nonlinear diffusion equations
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