论文标题

开放式异质环境中捕食者捕集系统的动力学

Dynamics of a predator-prey system in open advective heterogeneous environments

论文作者

Wang, Qi

论文摘要

在本文中,我们研究了分散和对流对捕食者捕集模型动力学的影响。更确切地说,我们表明,半平整稳态的线性稳定性取决于分散率,捕食者的死亡率和对流率。我们指出的是,与同质的内在增长率和承载能力相比,本文中的情况更为复杂。这项工作对Nie等人提出的一个开放问题进行了调查。在\ cite {nww}中,通过考虑一个更一般的模型,然后可以将其视为其工作的进一步发展\ cite {nww}。

In this paper, we investigate the effect of dispersal and advection on the dynamics of a predator-prey model. More precisely, we show that the linear stability of the semi-trivial steady state is determined by the dispersal rate, the mortality rate of the predator and the advection rate. We point out that compared to homogeneous intrinsic growth rate and carrying capacity, the case in this paper is more complicated. This work gives a investigation to an open problem proposed by Nie et al. in \cite{NWW} by considering a more general model, and then, can be seen as a further development of their work \cite{NWW}.

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