A robust cubic reaction-diffusion system for gene propagation

DOI10.1016/S0895-7177(04)90537-7zbMath1065.92030MaRDI QIDQ1765039

Bronwyn H. Bradshaw-Hajek, Philip Broadbridge

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

Fisher's equationReaction-diffusion equationsExact solutionsChanging gene frequenciesGene propagationHuxley's equation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Genetics and epigenetics (92D10)

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Uses Software

• PDETWO

Cites Work

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• Exact solutions for logistic reaction-diffusion equations in biology
• A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
• Explicit solutions of Fisher's equation for a special wave speed
• Continuous selective models
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Huxley and Fisher equations for gene propagation: An exact solution
• New similarity reductions of the Boussinesq equation
• General Software for Two-Dimensional Nonlinear Partial Differential Equations
• Analytic solutions of the Nagumo equation
• Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

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