Bifurcation and stability of a Mimura–Tsujikawa model with nonlocal delay effect |
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| Authors: | Dong Li Shangjiang Guo |
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| Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China |
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| Abstract: | In this paper, we investigate a Mimura–Tsujikawa model with nonlocal delay effect under the homogeneous Neumann boundary condition. By using Lyapunov–Schmidt reduction, we investigate the existence, multiplicity, stability, and Hopf bifurcation of nontrivial steady‐state solutions bifurcating from the nonzero steady‐state solution. Moreover, we illustrate our general results by applications to models with a one‐dimensional spatial domain. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | Mimura– Tsujikawa model nonlocal delay effect steady‐state solutions Hopf bifurcation |
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