The minimal invasion speed of two competing species in homogeneous environment

IF 0.4 Q4 MATHEMATICS, APPLIED
Xu Li, Tingting Zhang, Qiming Zhang
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引用次数: 0

Abstract

Biological invasion has become an important element of global changes. In this paper, we use a reaction-diffusion system to discuss the minimal invasion speed of two competing species in the homogeneous environment. The general condition for the minimum invasion speed is obtained by applying the theory of propagation dynamics. Then the explicit conditions are derived by constructing upper solutions. The analytical results are corroborated by simulations of the considered reaction-diffusion system. Our results reveal the impact of the diffusion rate, growth rate, competitiveness of the species, as well as the carrying capacity of the environment, on the invasion speed, which provides an effective method for preventing biological invasion and controlling existing biological invasion.
同质环境中两个竞争物种的最小入侵速度
生物入侵已成为全球变化的一个重要因素。本文利用反应扩散系统来讨论两个竞争物种在均质环境中的最小入侵速度。通过应用传播动力学理论,我们得到了最小入侵速度的一般条件。然后,通过构建上解导出了显式条件。对所考虑的反应-扩散系统的模拟证实了分析结果。我们的结果揭示了扩散速率、生长速率、物种竞争力以及环境承载力对入侵速度的影响,为防止生物入侵和控制现有生物入侵提供了有效方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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