On a conjecture raised by Yuzo Hosono
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Publication:1739083
DOI10.1007/s10884-018-9651-5zbMath1408.35068OpenAlexW2792110150WikidataQ122905878 ScholiaQ122905878MaRDI QIDQ1739083
Publication date: 25 April 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-018-9651-5
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Second-order parabolic systems (35K40)
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Cites Work
- Unnamed Item
- Unnamed Item
- On sufficient conditions for a linearly determinate spreading speed
- The minimal speed of traveling fronts for the Lotka-Volterra competition system
- Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model
- Thresholds and travelling waves for the geographical spread of infection
- Convergence to pushed fronts
- The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.
- Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system
- Spreading speed and linear determinacy for two-species competition models
- Analysis of linear determinacy for spread in cooperative models
- Spreading speeds as slowest wave speeds for cooperative systems
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Propagation of frontal polymerization—crystallization waves
- Fisher wave fronts for the Lotka-Volterra competition model with diffusion
- Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium
- Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
- Problem on minimum wave speed for a Lotka-Volterra reaction-diffusion competition model
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