Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting
Year: 2025
Type: article
Abstract: In this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied. Next, some sufficient conditions for spreading and for vanishing are given. Then, by introducing a one-parameter family of initial data σ ϕ \sigma \phi with σ ≥ 0 \sigma \ge 0 and ϕ \phi being a compactly supported function, we obtain a threshold value σ * {\sigma }^{* } such that spreading happens when σ > σ * \sigma \gt {\sigma }^{* } , vanishing happens when σ ≤ σ * \sigma \le {\sigma }^{* } . Finally, we prove the existence and uniqueness of T T -periodic traveling semi-wave. Moreover, when spreading persists, we use the proved T T -periodic traveling semi-wave to estimate the asymptotic speed of the free boundaries.
Source: Advances in Nonlinear Analysis
Authors: Yanglei Li, Xuemei Han, Ningkui Sun
Institution: Shandong Normal University
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: gold
Estimated APC paid: $1,469
OpenAlex ID: W4413169390