Dynamic analysis of a fractional order prey-predator interaction with harvesting

被引：92
|
作者：
Javidi, M. [1 ]
Nyamoradi, N. [1 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 20-21期
关键词：
Dynamic analysis; Stability; Simulation; Prey-predator; Fractional derivative; STOCHASTIC-ANALYSIS; CALCULUS; MODEL; STABILITY; EQUATIONS;
D O I：
10.1016/j.apm.2013.04.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In recent years, prey-predator models appearing in various fields of mathematical biology have been proposed and studied extensively due to their universal existence and importance. In this paper, we introduce a fractional-order prey-predator model and deals with the mathematical behaviors of the model. The dynamical behavior of the system is investigated from the point of view of local stability. We also carry out a detailed analysis on the stability of equilibrium. Numerical simulations are presented to illustrate the results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：8946 / 8956
页数：11
相关论文
共 50 条
  • [31] EFFECT OF HARVESTING AND PREY REFUGE IN A PREY-PREDATOR SYSTEM
    Lv, Yunfei
    Zhang, Zhengyang
    Yuan, Rong
    JOURNAL OF BIOLOGICAL SYSTEMS, 2014, 22 (01) : 133 - 150
  • [32] A prey-predator fractional order model with fear effect and group defense
    Das, Meghadri
    Samanta, G. P.
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2021, 9 (01) : 334 - 349
  • [33] Asymptotic Behavior of the Fractional Order three Species Prey-Predator Model
    Sambath, M.
    Ramesh, P.
    Balachandran, K.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2018, 19 (7-8) : 721 - 733
  • [34] A prey-predator fractional order model with fear effect and group defense
    Meghadri Das
    G. P. Samanta
    International Journal of Dynamics and Control, 2021, 9 : 334 - 349
  • [35] Dynamical analysis and optimal harvesting of conformable fractional prey-predator system with predator immigration (vol 136, 542, 2021)
    Kaviya, R.
    Muthukumar, P.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (05):
  • [36] A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator
    Abdulghafour, Ahmed Sami
    Naji, Raid Kamel
    JOURNAL OF APPLIED MATHEMATICS, 2018, 2018
  • [37] Optimal harvesting and stability for a prey-predator model
    Belkhodja, K.
    Moussaoui, A.
    Alaoui, M. A. Aziz
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 39 : 321 - 336
  • [38] Harvesting of a prey-predator fishery in the presence of toxicity
    Das, Tapasi
    Mukherjee, R. N.
    Chaudhuri, K. S.
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (05) : 2282 - 2292
  • [39] Stability and bifurcation analysis for a fractional prey-predator scavenger model
    Alidousti, Javad
    APPLIED MATHEMATICAL MODELLING, 2020, 81 : 342 - 355
  • [40] Effect of fear and delay on a prey-predator model with predator harvesting
    Majumdar, Prahlad
    Mondal, Bapin
    Debnath, Surajit
    Sarkar, Susmita
    Ghosh, Uttam
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (08):
12345