A LESLIE-GOWER PREDATOR-PREY MODEL WITH A FREE BOUNDARY

YUNFENG LIU; ZHIMING GUO; MOHAMMAD EL SMAILY; LIN WANG

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A LESLIE-GOWER PREDATOR-PREY MODEL WITH A FREE BOUNDARY

机译：具有自由边界的Leslie-Gower捕食者 - 猎物模型

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摘要

In this paper, we consider a Leslie-Gower predator-prey model in one-dimensional environment. We study the asymptotic behavior of two species evolving in a domain with a free boundary. Sucient conditions for spreading success and spreading failure are obtained. We also derive sharp criteria for spreading and vanishing of the two species. Finally, when spreading is successful, we show that the spreading speed is between the minimal speed of traveling wavefront solutions for the predator-prey model on the whole real line (without a free boundary) and an elliptic problem that follows from the original model.

机译：在本文中，我们考虑了一维环境中的Leslie-Gower捕食者 - 猎物模型。我们研究了一个自由边界在域中发展的两种物种的渐近行为。获得了展开成功和扩散失败的成功条件。我们还导出了两种物种的蔓延和消失的急剧标准。最后，当扩展成功时，我们表明，扩展速度是在整个实际线上的捕食者 - 猎物模型的最小速度（没有自由边界）和原始模型的椭圆问题。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第7期|2063-2084|共22页
作者
YUNFENG LIU; ZHIMING GUO; MOHAMMAD EL SMAILY; LIN WANG;
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作者单位

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China Department of Mathematics and Statistics University of New Brunswick Fredericton NB Canada;

School of Mathematics and Information Science Guangzhou University Guangzhou 510006 China;

Department of Mathematics and Statistics University of New Brunswick Fredericton NB Canada;

Department of Mathematics and Statistics University of New Brunswick Fredericton NB Canada;

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正文语种 eng
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关键词
Free boundary; Leslie-Gower; biological invasive; predator-prey; spreading-vanishing dichotomy;

机译：自由边界;Leslie-Gower;生物侵入性;捕食者猎物;传播消失的二分法;

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专利

1. A Free Boundary Problem for the Predator-Prey Model with Double Free Boundaries [J] . Wang Mingxin, Zhao Jingfu Journal of dynamics and differential equations . 2017,第3期

机译：具有双自由边界的捕食者-食饵模型的自由边界问题。
2. DYNAMICS FOR THE DIFFUSIVE LESLIE-GOWER MODEL WITH DOUBLE FREE BOUNDARIES [J] . Wang Mingxin, Zhang Qianying Discrete and continuous dynamical systems . 2018,第5期

机译：具有双自由边界的扩散莱斯利-戈夫模型的动力学
3. BIFURCATIONS ANALYSIS OF LESLIE-GOWER PREDATOR-PREY MODELS WITH NONLINEAR PREDATOR-HARVESTING [J] . Changrong Zhu, Lei Kong Discrete and continuous dynamical systems . 2017,第5期

机译：具有非线性捕食者捕获的莱斯利-戈德捕食者-种群模型的分叉分析
4. Leslie-Gower Predator-Prey Model with Stage-Structure, Beddington-DeAngelis Functional Response, and Anti-Predator Behavior [C] . U. Salamah, A. Suryanto, W.M. Kusumawinahyu Symposium on Biomathematics . 2018

机译：Leslie-Gower捕食者 - 猎物模型，床堆结构，Beddington-Deangelis功能反应和抗捕食者行为
5. Regularity of solutions and the free boundary for a class of Bernoulli-type parabolic free boundary problems with variable coefficients. [D] . Backing, Thomas H. 2016

机译：一类具有可变系数的伯努利型抛物线型自由边界问题的解的正则性和自由边界。
6. Global Hopf Bifurcation on Two-Delays Leslie-Gower Predator-Prey System with a Prey Refuge [O] . Qingsong Liu, Yiping Lin, Jingnan Cao 2014

机译：带有食饵避难所的两时滞莱斯利-高尔捕食者-食饵系统的全局Hopf分叉
7. A Free Boundary Problem for a Leslie-Gower Predator-Prey Model in Higher Dimensions and Heterogeneous Environment [O] . Shiwen Niu, Hongmei Cheng 2020

机译：高尺寸和异构环境中Leslie-Gower捕食者 - 猎物模型的自由边界问题

A LESLIE-GOWER PREDATOR-PREY MODEL WITH A FREE BOUNDARY

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