Some fundamental issues of mathematical simulation in biology

DOI10.1134/S0965542518020136zbMath1393.35251OpenAlexW2793918395WikidataQ113785835 ScholiaQ113785835MaRDI QIDQ1644017

Valery N. Razzhevaikin

Publication date: 21 June 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518020136

zbMATH Keywords

reaction-diffusion equationsstructured systemsoverviewleader selectioncorrelation adaptometryevolutionary optimalitygenetic waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Linear first-order PDEs (35F05) Weak solutions to PDEs (35D30) Traveling wave solutions (35C07)

Cites Work

• Stabilization of solutions of the Cauchy problem for the reaction-nonlinear diffusion equation to a dominant equilibrium
• Multicomponent Gause's principle in models of biological communities
• Leader in a diffusion competition model
• Instability of stationary nonmonotone solutions of the reaction equation with diffusion depending on density
• Selection functionals in autonomous models of biological systems with a continuous age and spatial structure
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