Stability analysis and nonstandard Grünwald-Letnikov scheme for a fractional order predator-prey model with ratio-dependent functional response

Mapping Intimacies ◽

10.1063/1.5016645 ◽

2017 ◽

Cited By ~ 4

Author(s):

Agus Suryanto ◽

Isnani Darti

Keyword(s):

Stability Analysis ◽

Functional Response ◽

Fractional Order ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Bifurcation and Stability Analysis of a Diffusive Predator-Prey Model with Ratio-Dependent Type III Functional Response

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2017.09.008 ◽

2017 ◽

Vol 6 (3) ◽

pp. 393-407

Author(s):

M. Sivakumar ◽

K. Balachandran

Keyword(s):

Stability Analysis ◽

Functional Response ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Bifurcation And Stability ◽

Dependent Type

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Dynamical analysis of a ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in a random environment

Advances in Difference Equations ◽

10.1186/s13662-018-1625-8 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 5

Author(s):

Guijie Lan ◽

Yingjie Fu ◽

Chunjin Wei ◽

Shuwen Zhang

Keyword(s):

Functional Response ◽

Random Environment ◽

Dynamical Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Nonlinear Harvesting ◽

Ratio Dependent

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A fractional-order predator–prey model with Beddington–DeAngelis functional response and time-delay

The Journal of Analysis ◽

10.1007/s41478-018-0092-7 ◽

2018 ◽

Vol 27 (2) ◽

pp. 525-538 ◽

Cited By ~ 1

Author(s):

Rajivganthi Chinnathambi ◽

Fathalla A. Rihan ◽

Hebatallah J. Alsakaji

Keyword(s):

Time Delay ◽

Functional Response ◽

Fractional Order ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model

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Permanence and periodicity of a delayed ratio-dependent predator–prey model with Holling type functional response and stage structure

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.008 ◽

2009 ◽

Vol 233 (2) ◽

pp. 173-187 ◽

Cited By ~ 19

Author(s):

Zuxiong Li ◽

Lansun Chen ◽

Jianmin Huang

Keyword(s):

Functional Response ◽

Stage Structure ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Holling Type Functional Response

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Global Asymptotical Stability for a Diffusive Predator-Prey Model with Ratio-Dependent Holling Type III Functional Response

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0370-x ◽

2017 ◽

Cited By ~ 2

Author(s):

Wensheng Yang ◽

Xuepeng Li

Keyword(s):

Functional Response ◽

Asymptotical Stability ◽

Global Asymptotical Stability ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Multiplicity of periodic solutions for a delayed ratio-dependent predator–prey model with monotonic functional response and harvesting terms

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.07.046 ◽

2014 ◽

Vol 244 ◽

pp. 878-894 ◽

Cited By ~ 2

Author(s):

Yong-Hong Fan ◽

Lin-Lin Wang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.009 ◽

2011 ◽

Vol 218 (8) ◽

pp. 4341-4348 ◽

Cited By ~ 6

Author(s):

Guirong Liu ◽

Jurang Yan

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Positive Periodic Solutions ◽

Neutral Delay ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.10.023 ◽

2018 ◽

Vol 106 ◽

pp. 193-200 ◽

Cited By ~ 8

Author(s):

Z. Lajmiri ◽

R. Khoshsiar Ghaziani ◽

Iman Orak

Keyword(s):

Stability Analysis ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Bifurcation And Stability

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Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.017 ◽

2017 ◽

Vol 314 ◽

pp. 193-198 ◽

Cited By ~ 10

Author(s):

Subhas Khajanchi ◽

Sandip Banerjee

Keyword(s):

Functional Response ◽

Stage Structure ◽

Prey Refuge ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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Multiplicity of periodic solutions for a delayed ratio-dependent predator-prey model with Holling type III functional response and harvesting terms

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.11.009 ◽

2010 ◽

Vol 365 (2) ◽

pp. 525-540 ◽

Cited By ~ 9

Author(s):

Yong-Hong Fan ◽

Lin-Lin Wang

Keyword(s):

Periodic Solutions ◽

Functional Response ◽

Predator Prey ◽

Type Iii ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

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