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arXiv · 2011.12705

Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay

Yonghui Zhou·Shuguan Ji
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Abstract

This paper is concerned with the globally exponential stability of traveling wave fronts for a class of population dynamics model with quiescent stage and delay. First, we establish the comparison principle of solutions for the population dynamics model. Then, by the weighted energy method combining comparison principle, the globally exponential stability of traveling wave fronts of the population dynamics model under the quasi-monotonicity conditions is established.

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Yonghui Zhou, Shuguan Ji. 2020-11-25. Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay. https://arxiv.org/abs/2011.12705

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