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Coexistence and bistability of a competition model with mixed dispersal strategy
Nonlinear Analysis: Real World Applications ( IF 2 ) Pub Date : 2020-06-17 , DOI: 10.1016/j.nonrwa.2020.103175
Yan’e Wang , Hua Nie , Jianhua Wu

In this paper, we investigate a Lotka–Volterra competition model with Danckwerts boundary conditions in a one-dimensional habitat where one species assumes pure random diffusion while another one undergoes mixed movement (both random and directed movements). We focus on the joint influence of advection rate, intrinsic growth rate and interspecific competition coefficient on the competition outcomes. It turns out that there exist some critical curves which separate the stable region of the semitrivial steady states from the unstable one. The locations of these curves determine whether coexistence or bistability occurs. More precisely, there are various tradeoffs between advection rate, intrinsic growth rate and interspecific competition coefficient that allow the transition of competition outcomes including competition exclusion, coexistence and bistability. We illustrate our results in various parameter spaces.



中文翻译:

具有混合分散策略的竞争模型的共存性和双稳定性

在本文中,我们研究了一维生境中具有Danckwerts边界条件的Lotka–Volterra竞争模型,其中一个物种呈现纯随机扩散,而另一物种则经历混合运动(随机运动和定向运动)。我们关注对流速率,内在增长率和种间竞争系数对竞争结果的共同影响。事实证明,存在一些临界曲线,这些临界曲线将半平凡稳态的稳定区域与不稳定状态分开。这些曲线的位置确定是共存还是双稳。更确切地说,对流速率,内在增长率和种间竞争系数之间存在各种折衷,这使得包括竞争排斥,共存和双稳。我们在各种参数空间中说明我们的结果。

更新日期:2020-06-17
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