Existence of Traveling Waves for Ratio-dependent Predator-prey System with Nonlocal Diffusion

American Journal of Applied Mathematics ◽

10.11648/j.ajam.20200805.11 ◽

2020 ◽

Vol 8 (5) ◽

pp. 236

Author(s):

Ke Li ◽

Hongmei Cheng

Keyword(s):

Traveling Waves ◽

Nonlocal Diffusion ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Existence and stability of traveling waves for Leslie-Gower predator-prey system with nonlocal diffusion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017236 ◽

2017 ◽

Vol 37 (10) ◽

pp. 5433-5454 ◽

Author(s):

Hongmei Cheng ◽

◽

Rong Yuan ◽

Keyword(s):

Traveling Waves ◽

Nonlocal Diffusion ◽

Predator Prey ◽

Prey System ◽

Existence And Stability

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Traveling waves of some Holling–Tanner predator–prey system with nonlocal diffusion

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.049 ◽

2018 ◽

Vol 338 ◽

pp. 12-24 ◽

Author(s):

Hongmei Cheng ◽

Rong Yuan

Keyword(s):

Traveling Waves ◽

Nonlocal Diffusion ◽

Predator Prey ◽

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A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect

Journal of Systems Science and Complexity ◽

10.1007/s11424-011-8198-x ◽

2011 ◽

Vol 24 (6) ◽

pp. 1118-1129 ◽

Author(s):

Zuxiong LI

Keyword(s):

Impulsive Effect ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Permanence for a delayed discrete ratio-dependent -species predator–prey system with Holling-type II functional response

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2010.11.085 ◽

2010 ◽

Author(s):

Rongxiu Liu ◽

Jianguo Gao

Keyword(s):

Functional Response ◽

Type Ii ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Type Ii Functional Response

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Global dynamics of a ratio-dependent predator-prey system

Journal of Mathematical Biology ◽

10.1007/s002850100097 ◽

2001 ◽

Vol 43 (3) ◽

pp. 268-290 ◽

Author(s):

Dongmei Xiao ◽

Shigui Ruan

Keyword(s):

Global Dynamics ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Dynamics of a diffusive Leslie–Gower predator–prey system with ratio-dependent Holling III functional response

Advances in Difference Equations ◽

10.1186/s13662-019-2018-3 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Xiaoyuan Chang ◽

Jimin Zhang

Keyword(s):

Functional Response ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Holling Iii Functional Response

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Stationary distribution and extinction of a stochastic ratio-dependent predator–prey system with stage structure for the predator

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.123310 ◽

2020 ◽

Vol 545 ◽

pp. 123310

Author(s):

Xin Zhao ◽

Zhijun Zeng

Keyword(s):

Stationary Distribution ◽

Stage Structure ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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Modeling the Effect of Prey Refuge on a Ratio-Dependent Predator–Prey System with the Allee Effect

Bulletin of Mathematical Biology ◽

10.1007/s11538-018-0394-6 ◽

2018 ◽

Vol 80 (3) ◽

pp. 626-656 ◽

Author(s):

Maitri Verma ◽

A. K. Misra

Keyword(s):

Allee Effect ◽

Prey Refuge ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent

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On the dynamics of one-prey-n-predator impulsive reaction-diffusion predator–prey system with ratio-dependent functional response

Journal of Biological Dynamics ◽

10.1080/17513758.2018.1485974 ◽

2018 ◽

Vol 12 (1) ◽

pp. 551-576 ◽

Author(s):

Zijian Liu ◽

Lei Zhang ◽

Ping Bi ◽

Jianhua Pang ◽

Bing Li ◽

...

Keyword(s):

Functional Response ◽

Reaction Diffusion ◽

Predator Prey ◽

Prey System ◽

Ratio Dependent ◽

Impulsive Reaction

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Spatiotemporal pattern formation of a ratio-dependent invasion-diffusion predator-prey system with disease in the predator

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2017.1367526 ◽

2019 ◽

Vol 22 (2) ◽

pp. 101-120

Author(s):

Chenglin Li

Keyword(s):

Pattern Formation ◽

Spatiotemporal Pattern ◽

Predator Prey ◽

Spatiotemporal Pattern Formation ◽

Prey System ◽

Ratio Dependent

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