A delayed fractional order food chain model with fear effect and prey refuge

被引：0
|
作者：
Das, Meghadri [1 ]
Samanta, G.P. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah,711103, India
来源：
Mathematics and Computers in Simulation | 2020年 / 178卷
关键词：
A delayed fractional-order prey–predator system with fear (felt by prey) effect of predator on prey population incorporating prey refuge has been proposed. We consider a three species food chain system with Holling type I functional response for the predator population including prey refuge. The existence and uniqueness of the system is studied along with non-negativity and boundedness of the solutions of proposed system. Next; local stability of the equilibria has been studied for both delayed and non-delayed systems. We have also established that the non delayed system is globally stable under some parametric restrictions. Finally we have discussed the Hopf bifurcation due to time delay and other parameters both theoretically and numerically by the help of MATLAB and MAPLE. © 2020 International Association for Mathematics and Computers in Simulation (IMACS);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：218 / 245
相关论文
共 50 条
  • [1] A delayed fractional order food chain model with fear effect and prey refuge
    Das, Meghadri
    Samanta, G. P.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 178 : 218 - 245
  • [2] On the food chain model with prey refuge and fear effect
    Ali, Nijamuddin
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 2071 - 2086
  • [3] Analysis of a Tritrophic Food Chain Model with Fear Effect Incorporating Prey Refuge
    Saha, Sangeeta
    Samanta, G. P.
    FILOMAT, 2021, 35 (15) : 4971 - 4999
  • [4] Impact of predator incited fear and prey refuge in a fractional order prey predator model
    Barman, Dipesh
    Roy, Jyotirmoy
    Alrabaiah, Hussam
    Panja, Prabir
    Mondal, Sankar Prasad
    Alam, Shariful
    CHAOS SOLITONS & FRACTALS, 2021, 142
  • [5] Dynamics of a Delayed Predator-Prey Model with Prey Refuge, Allee Effect and Fear Effect
    Wei, Zhen
    Chen, Fengde
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (03):
  • [6] Predation fear and its carry-over effect in a fractional order prey-predator model with prey refuge
    Balci, Ercan
    CHAOS SOLITONS & FRACTALS, 2023, 175
  • [7] Impact of fear effect in a fractional-order predator–prey system incorporating constant prey refuge
    Chandan Maji
    Nonlinear Dynamics, 2022, 107 : 1329 - 1342
  • [8] Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect
    Parwaliya, Ankit
    Singh, Anuraj
    Kumar, Ajay
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024, 17 (05)
  • [9] Impact of Fear in a Delayed Predator–Prey System with Prey Refuge in Presence of Additional Food
    Sudeshna Mondal
    Samanta G.P.
    Biophysics, 2021, 66 (3) : 438 - 463
  • [10] Impact of fear effect in a fractional-order predator-prey system incorporating constant prey refuge
    Maji, Chandan
    NONLINEAR DYNAMICS, 2022, 107 (01) : 1329 - 1342
12345