Extinction in a generalized Lotka-Volterra predator-prey model

Azmy S.Ackleh; David F.Marshall; Henry E.Heatherly

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Extinction in a generalized Lotka-Volterra predator-prey model

机译：广义Lotka-Volterra捕食被捕食模型的灭绝。

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In this paper we discuss the asymptotic behavior of a predator-prey model with distributed growth and mortality rates. We exhibit simple criteria on the parameters which guarantee that all subpopulations but one predator-prey pair are driven to extinction ast→∞. Finally, we present numerical simulations to illustrate the theoretical results.

机译：在本文中，我们讨论了具有分布增长和死亡率的捕食者－食饵模型的渐近行为。我们在参数上展示了简单的标准，以确保除一个捕食者-猎物对之外的所有亚种群都被驱动灭绝ast→∞。最后，我们提供数值模拟来说明理论结果。

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《International journal of stochastic analysis》 |2000年第3期|共11页
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Azmy S.Ackleh; David F.Marshall; Henry E.Heatherly;
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中图分类应用数学;
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1. The Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System [J] . Yin Fancheng, Yu Xiaoyan Mathematical Problems in Engineering . 2015,第Pta21期

机译：广义多种群随机Lotka-Volterra捕食者－食饵系统的平稳分布和灭绝
2. Control Schemes to Reduce Risk of Extinction in the Lotka-Volterra Predator-Prey Model [J] . Jessica Li Journal of Applied Mathematics and Physics . 2014,第7期

机译：降低Lotka-Volterra捕食者－猎物模型灭绝风险的控制方案
3. A mean extinction-time estimate for a stochastic Lotka-Volterra predator-prey model [J] . De La Hoz F., Vadillo F. Applied mathematics and computation . 2012,第1期

机译：随机Lotka-Volterra捕食者-食饵模型的平均灭绝时间估计
4. The stationary distribution and extinction of the n-dimensional stochastic Lotka-Volterra predator-prey system [C] . Xiaoyan Yu, Lei Liu International Conference on Intelligent Control and Information Processing . 2015

机译：n维随机Lotka-Volterra捕食者－食饵系统的平稳分布和灭绝
5. Nonlinear stochastic systems and controls: Lotka-Volterra type models, permanence and extinction, optimal harvesting strategies, and numerical methods for systems under partial observations [D] . Tran, Ky Quan. 2016

机译：非线性随机系统和控制：Lotka-Volterra类型模型，持久性和灭绝，最优收获策略以及部分观测下系统的数值方法
6. Spatially induced speciation prevents extinction: the evolution of dispersal distance in oscillatory predator-prey models. [O] . N J Savill, P Hogeweg 1998

机译：空间诱发的物种形成可防止灭绝：在振荡的捕食者－猎物模型中扩散距离的演变。
7. Extinction in a generalized Lotka-Volterra predator-prey model [O] . Azmy S. Ackleh, David F. Marshall, Henry E. Heatherly 2000

机译：广义Lotka-Volterra捕食被捕食模型的灭绝。

Extinction in a generalized Lotka-Volterra predator-prey model

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