Dynamical analysis for a fractional-order prey–predator model with Holling III type functional response and discontinuous harvest

2020 ◽  
Vol 106 ◽  
pp. 106342 ◽  
Author(s):  
Yingkang Xie ◽  
Zhen Wang ◽  
Bo Meng ◽  
Xia Huang
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Dynamical Analysis ◽  
Predator Model

scholarly journals Dynamical Analysis of a Class of Prey-Predator Model with Beddington-DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-18 ◽  
Author(s):  
Feifei Bian ◽  
Wencai Zhao ◽  
Yi Song ◽  
Rong Yue
Keyword(s):  
Periodic Solutions ◽  
Functional Response ◽  
Regime Switching ◽  
Sufficient Conditions ◽  
Stochastic Perturbation ◽  
Dynamical Analysis ◽  
Positive Periodic Solutions ◽  
Noise Perturbation ◽  
Predator Model ◽  
Predator System

A stochastic prey-predator system in a polluted environment with Beddington-DeAngelis functional response is proposed and analyzed. Firstly, for the system with white noise perturbation, by analyzing the limit system, the existence of boundary periodic solutions and positive periodic solutions is proved and the sufficient conditions for the existence of boundary periodic solutions and positive periodic solutions are derived. And then for the stochastic system, by introducing Markov regime switching, the sufficient conditions for extinction or persistence of such system are obtained. Furthermore, we proved that the system is ergodic and has a stationary distribution when the concentration of toxicant is a positive constant. Finally, two examples with numerical simulations are carried out in order to illustrate the theoretical results.

Stage Structure and Refuge Effects in the Dynamical Analysis of a Fractional Order Rosenzweig-MacArthur Prey-Predator Model

2019 ◽  
Vol 5 (1) ◽  
pp. 49-64 ◽  
Author(s):  
Mahmoud Moustafa ◽  
Mohd Hafiz Mohd ◽  
Ahmad Izani Ismail ◽  
Farah Aini Abdullah
Keyword(s):  
Fractional Order ◽  
Stage Structure ◽  
Dynamical Analysis ◽  
Predator Model

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System

Dynamical analysis of a fractional-order foot-and-mouth disease model

2021 ◽  
Vol 15 (1) ◽  
pp. 65-82
Author(s):  
Tinashe B. Gashirai ◽  
Senelani D. Hove-Musekwa ◽  
Steady Mushayabasa
Keyword(s):  
Fractional Order ◽  
Disease Model ◽  
Foot And Mouth Disease ◽  
Mouth Disease ◽  
Dynamical Analysis ◽  
Foot And Mouth

Dynamical analysis of the improper fractional-order 2D-SCLMM and its DSP implementation

2021 ◽  
Vol 136 (5) ◽  
Author(s):  
Tianming Liu ◽  
Santo Banerjee ◽  
Huizhen Yan ◽  
Jun Mou
Keyword(s):  
Fractional Order ◽  
Dynamical Analysis ◽  
Dsp Implementation
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