Project Details
Description
This project is concerned with the interaction and stability of traveling wave solutions for lattice dynamical systems and reaction-diffusion equations. We plan to use the weighted energy estimate, comparison theorem, spectrum analysis and the technique of Evans function to study the stability problem of traveling wave solutions. In addition, we look for the existence and properties of different entire solutions originating from multiple traveling fronts, which can exhibit new characteristic behaviors in the front dynamics.
| Status | Finished |
|---|---|
| Effective start/end date | 1/08/19 → 31/07/20 |
Keywords
- weighted energy estimate
- comparison theorem
- spectrum analysis
- Evans function
- entire solution
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Research output
- 3 Article
-
Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate
Yang, Y., Zou, L., Zhou, J. & Hsu, C. H., Jun 2020, In: Nonlinear Analysis: Real World Applications. 53, 103065.Research output: Contribution to journal › Article › peer-review
26 Scopus citations -
Stability analysis of traveling wave solutions for lattice reaction-diffusion equations
Hsu, C. H. & Lin, J. J., 5 May 2020, In: Discrete and Continuous Dynamical Systems - Series B. 25, 5, p. 1757-1774 18 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Scopus citations -
Traveling waves for a nonlocal dispersal vaccination model with general incidence
Zhou, J., Yang, Y. & Hsu, C. H., 2020, In: Discrete and Continuous Dynamical Systems - Series B. 25, 4, p. 1469-1495 27 p.Research output: Contribution to journal › Article › peer-review
Open Access16 Scopus citations