Asymptotic Behavior of the Fractional Order three Species Prey-Predator Model

被引：22

作者：

Sambath, M. ^{[1
]}

Ramesh, P. ^{[1
]}

Balachandran, K. ^{[2
]}

机构：

[1] Periyar Univ, Dept Math, Salem 636011, India

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 7-8期

关键词：

boundedness; existence and uniqueness; fractional dynamical system; stability; prey-predator model;

D O I：

10.1515/ijnsns-2017-0273

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, we introduce fractional order predator-prey model with infected predator. First, we prove different mathematical results like existence, uniqueness, non-negativity and boundedness of the solutions of fractional order dynamical system. Further, we investigate the local and global stability of all feasible equilibrium points of the system. Numerical results are illustrated as several examples.

引用

页码：721 / 733

页数：13

共 50 条

[41] Positive solutions of a prey-predator model with predator saturation and competition
Wang, Mingxin
Wu, Qiang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 708 - 718
[42] DYNAMICAL COMPLEXITY OF A PREY-PREDATOR MODEL WITH NONLINEAR PREDATOR HARVESTING
Gupta, R. P.
Chandra, Peeyush
Banerjee, Malay
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (02): : 423 - 443
[43] Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest
Xie, Yingkang
Wang, Zhen
Meng, Bo
Huang, Xia
APPLIED MATHEMATICS LETTERS, 2020, 106
[44] A predator-prey fractional model with disease in the prey species
Domínguez-Alemán I.
Domínguez-Alemán I.
Hernández-Gómez J.C.
Ariza-Hernández F.J.
Mathematical Biosciences and Engineering, 2024, 21 (03) : 3713 - 3741
[45] Asymptotic behavior of an age-structured prey-predator system with distributed delay
Yuan, Yuan
Fu, Xianlong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 317 : 121 - 152
[46] Qualitative Analysis of the Discretization of a Continuous Fractional Order Prey-Predator Model with the Effects of Harvesting and Immigration in the Population
Uddin, Md. Jasim
Sohel Rana, Sarker Md.
COMPLEXITY, 2024, 2024
[47] Dynamic Analysis and Optimal Control of a Fractional Order Singular Leslie-Gower Prey-Predator Model
Ma, Linjie
Liu, Bin
ACTA MATHEMATICA SCIENTIA, 2020, 40 (05) : 1525 - 1552
[48] QUALITATIVE ANALYSIS OF A DIFFUSIVE PREY-PREDATOR MODEL WITH TROPHIC INTERACTIONS OF THREE LEVELS
Li, Huiling
Pang, Peter Y. H.
Wang, Mingxin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (01): : 127 - 152
[49] DYNAMICS OF ANTI-PREDATOR BEHAVIOR AND EFFECT OF FEAR ON PREY-PREDATOR MODEL
Prasad, K. Durga
Sasmal, Sourav Kumar
JOURNAL OF BIOLOGICAL SYSTEMS, 2022, 30 (04) : 887 - 912
[50] 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

← 1 2 3 4 5 →