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Stability Regions in Predator-Prey Systems with Constant-Rate Prey Harvesting.

机译：具有常速率捕食收获的捕食者 - 食饵系统的稳定域。

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摘要

The authors analyze the global behavior of a predator-prey system, modelled by a pair of nonlinear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, the authors characterize the theoretically possible structures and transitions. With the aid of a computer simulation the authors construct examples to show which of these transitions can be realized in a biologically plausible model. (Author)

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作者
Brauer, F.; Soudack, A. C.;
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年度 1979
页码 1-40
总页数 40
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Biometry; Ecology; Balance; Stability; Differential equations; Predator prey problems; Catastrophe theory; Harvesting;

机译：生物统计学;生态学;平衡;稳定性;微分方程;捕食者捕食问题;突变理论;收获;

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1. Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge [J] . Ji L., Wu C. Nonlinear analysis. Real world applications . 2010,第4期

机译：定性捕食与恒定食饵避难的捕食者—食饵模型的定性分析
2. Hopf Bifurcation of a Delayed Predator-Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting [J] . Zhang Fengrong, Zhang Xinhong, Li Yan, International journal of bifurcation and chaos in applied sciences and engineering . 2018,第14期

机译：延迟捕食者 - 猎物模型的Hopf分叉与不稳定的死亡率和恒定率猎物收获
3. Stability and distribution of predator-prey systems: local and regional mechanisms and patterns [J] . Lampert Adam, Hastings Alan Ecology letters . 2016,第3期

机译：捕食者－猎物系统的稳定性和分布：地方和区域机制与模式
4. Prey growth for the Smith and Ratio-dependent based stability of a Predator-prey system with Holling Ⅲ [C] . WeiWei Zheng, ErDong Han, Lin Xiao International congress on mathematical biology;ICMB2011 . 2011

机译：具有HollingⅢ型捕食者-食饵系统的Smith增长和基于比率的稳定性。
5. Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria. [D] . Jiang, Zhuo. 2017

机译：种内猎物竞争对捕食者－猎物平衡稳定性的非局部影响。
6. Global Stability of Predator-Prey System with Alternative Prey [O] . Banshidhar Sahoo 2013

机译：具有替代猎物的捕食者－食饵系统的全局稳定性
7. Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges [O] . Fengde Chen, Yumin Wu, Zhaozhi Ma 2012

机译：具有一类功能反应和猎物refugbes的捕食者 - 猎物系统的无稳定性性能

Stability Regions in Predator-Prey Systems with Constant-Rate Prey Harvesting.

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