Periodic oscillations in age-structured ratio-dependent predator–prey model with Michaelis–Menten type functional response

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2018.10.002 ◽

2019 ◽

Vol 389 ◽

pp. 51-63 ◽

Cited By ~ 5

Author(s):

Xiangming Zhang ◽

Zhihua Liu

Keyword(s):

Functional Response ◽

Periodic Oscillations ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent ◽

Age Structured

Download Full-text

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

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

A delayed-diffusive predator-prey model with a ratio-dependent functional response

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.04.034 ◽

2017 ◽

Vol 53 ◽

pp. 94-110 ◽

Cited By ~ 5

Author(s):

Ruizhi Yang ◽

Ming Liu ◽

Chunrui Zhang

Keyword(s):

Functional Response ◽

Predator Prey ◽

Predator Prey Model ◽

Prey Model ◽

Ratio Dependent

Download Full-text