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A note on positive non-constant steady-state solutions to a reaction-diffusion model |
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| Authors: | Wei Dong |
| Affiliation: | a Hebei University of Engineering, Handan, Hebei 056038, China b School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, China c School of Science, Shandong Jianzhu University, Jinan, Shandong 250101, China |
| Abstract: | 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. |
| Keywords: | A reaction-diffusion model Feedback effect Positive steady states Non-existence |
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