Discontinuous stationary solutions to certain reaction-diffusion systems

نویسندگان

چکیده

Systems consisting of a single ordinary differential equation coupled with one reaction-diffusion in bounded domain and the Neumann boundary conditions are studied case particular nonlinearities from Brusselator model, Gray-Scott Oregonator model certain predator-prey model. It is shown that considered systems have both smooth discontinuous stationary solutions, however, only ones can be stable.

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ژورنال

عنوان ژورنال: Partial Differential Equations And Applications

سال: 2022

ISSN: ['2662-2971', '2662-2963']

DOI: https://doi.org/10.1007/s42985-022-00188-x