A note on positive non-constant steady-state solutions to a reaction-diffusion model

作者：Dong, Wei; Wei, Zhongli; Pang, Changci^*

来源：Applied Mathematics and Computation, 2010, 217(8): 4234-4238.

DOI：10.1016/j.amc.2010.10.038

• A reaction-diffusion model
• Feedback effect
• Positive steady states
• Non-existence

In the present paper, we investigate a reaction-diffusion system with feedback effect subject to the homogeneous Neumann boundary condition and study the positive steady-state solutions. We establish a priori estimates for positive steady-state solutions and derive some results for non-existence of positive non-constant steady-state solutions. Our analysis complements the existing results on this model.

• 出版日期2010-12-15
• 单位山东大学; 河北工程大学; 山东建筑大学