Bounds on the total particle number for species governed by reaction- diffusion equations in the infinite spatial domain

DOI10.1007/BF02463270zbMath0291.92003OpenAlexW4253494626MaRDI QIDQ1211424

Gerald Rosen

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02463270

Mathematics Subject Classification ID

Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05)

Related Items

On the Fisher and the cubic-polynomial equations for the propagation of species properties, Bounds on the total population for species governed by reaction-diffusion equations in arbitrary two-dimensional regions, Integral bounds for solutions of nonlinear reaction-diffusion equations

Cites Work

• Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations
• Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
• On nonlinear diffusion equations