학술논문
Linear vs. nonlinear speed selection of the front propagation into unstable states
Document Type
Working Paper
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Abstract
In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary condition for this long-standing problem from a new point of view. Moreover, our results can also reveal the essence of the linearly selected problem for the monostable dynamical system from the observation of the decay rate of the minimal traveling wave solution.
Comment: We have decided to divide the content of our original manuscript arXiv:2207.03371 into three separate papers for clarity and focus: arXiv:2409.12463, arXiv:2408.10481, and arXiv:2408.10480. To avoid redundancy and potential confusion, we would like to withdraw the submission arXiv:2207.03371
Comment: We have decided to divide the content of our original manuscript arXiv:2207.03371 into three separate papers for clarity and focus: arXiv:2409.12463, arXiv:2408.10481, and arXiv:2408.10480. To avoid redundancy and potential confusion, we would like to withdraw the submission arXiv:2207.03371