论文标题
某些反应扩散系统的不连续的固定解决方案
Discontinuous stationary solutions to certain reaction-diffusion systems
论文作者
论文摘要
在一个有界域中和诺伊曼边界条件中的一个反应扩散方程组成的单个普通微分方程组成的系统，在Brusselator模型，灰色 - 科特模型，俄勒冈州模型和特定捕食者捕食者模型的情况下进行了研究。结果表明，所考虑的系统具有光滑和不连续的固定溶液，但是，只有不连续的解决方案才能稳定。
Systems consisting of a single ordinary differential equation coupled with one reaction-diffusion equation in a bounded domain and with the Neumann boundary conditions are studied in the case of particular nonlinearities from the Brusselator model, the Gray-Scott model, the Oregonator model and a certain predator-prey model. It is shown that the considered systems have the both smooth and discontinuous stationary solutions, however, only discontinuous ones can be stable.
