Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms

Zhang ZQ; Hou ZT

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Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms

机译：具有多个利用（或收获）条件的比率依赖型捕食者－食饵系统的四个正周期解的存在

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摘要

In this paper, we investigate a non-autonomous ratio-dependent predator-prey model with exploited terms. By means of using coincidence degree theory, we establish the existence of at least four positive periodic solutions for the above model.

机译：在本文中，我们研究了具有被利用项的非自治比率依赖的捕食者-捕食者模型。通过使用符合度理论，我们为上述模型建立了至少四个正周期解的存在。

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《Nonlinear analysis. Real world applications》 |2010年第3期|共12页
作者
Zhang ZQ; Hou ZT;
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正文语种 eng
中图分类数学分析;
关键词
Predator-prey model; Ratio-dependent; Multiple exploited terms; Four positive periodic solutions; Coincidence degree theory;

机译：捕食者－食饵模型;比率依赖;多被利用项;四个正周期解;重合度理论;

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专利

1. Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms [J] . Zhang ZQ, Hou ZT Nonlinear analysis. Real world applications . 2010,第3期

机译：具有多个利用（或收获）条件的比率依赖型捕食者－食饵系统的四个正周期解的存在
2. Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms and Holling III type functional response [J] . Fengying Wei Communications in Nonlinear Science and Numerical Simulation . 2011,第4期

机译：具有收获项和Holling III型功能性反应的捕食者－食饵系统的多个正周期解的存在
3. Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms [J] . Zhang Chunhua, Zhang Yuying, Chen Xiaoxing Communications in Mathematical Biology and Neuroscience . 2015,第1期

机译：具有收获条件的脉冲非自治Lotka-Volterra捕食者－食饵系统的多个正概周期解的存在性
4. Existence of Positive Periodic Solution of a Ratio-Dependent Predator-Prey System with Time Delays [C] . Xinyi Chen International Conference on Electronics, Network and Computer Engineering . 2016

机译：与时间延迟的比例依赖捕食者 - 猎物系统正周期解的存在
5. Existence and bifurcation of multiple positive solutions for some semilinear elliptic equations. [D] . Zhao, Xuejin. 1998

机译：一类半线性椭圆型方程的多个正解的存在性和分歧。
6. Existence and exponential stability of positive almost periodic solution for Nicholson’s blowflies models on time scales [O] . Yongkun Li, Bing Li -1

机译：Nicholson的son蝇模型在时间尺度上的正周期解的存在性和指数稳定性
7. Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms [O] . Yongzhi Liao, Yongkun Li, Xiaoyan Dou 2012

机译：收获条款的Gilpin-Ayala竞争捕食者 - 猎物系统多种正周期解决方案

Existence of four positive periodic solutions for a ratio-dependent predator-prey system with multiple exploited (or harvesting) terms

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