Open AccessCritical traveling wave solution in the Meinhardt type model
Author(s) -
Vladimir Sobolev
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1745/1/012113
Subject(s) - traveling wave , ode , mathematics , mathematical analysis , type (biology) , dimension (graph theory) , singular perturbation , transformation (genetics) , chemistry , pure mathematics , ecology , biochemistry , gene , biology
The traveling waves problem for the singularly perturbed semilinear parabolic equations is considered in the paper. It is shown that the corresponding problem for a singularly perturbed ODE system can be reduced to a certain problem of lower dimension using a splitting transformation based on the technique of slow and fast integral manifolds. The Meinhardt model is considered as an example.