Dynamics of Fractional Holling Type-II Predator-Prey Model with Prey Refuge and Additional Food to Predator

被引：16

作者：

Baishya, Chandrali ^{[1
]}

机构：

[1] Tumkur Univ, Dept Studies & Res Math, Tumkur 572103, Karnataka, India

来源：

JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2021年 / 10卷 / 02期

关键词：

Fractional predator-prey model; Holling Type-II functional response; Prey-refuge; Additional food to predator; Trapezoidal based homotopy perturbation method; VARIATIONAL ITERATION METHOD; STAGE STRUCTURE; STABILITY; SYSTEM; CONSEQUENCES;

D O I：

10.5890/JAND.2021.06.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Prey refuge and additional food provided to predator help in balancing the population in ecology. In this paper, we have analysed a fractional Holling Type-II predator-prey model with prey refuge and additional food to predator. Existence and uniqueness of solution is established with the help of existing theory of fractional calculus. Sufficient conditions for existence and stability of equilibrium points are derived. Effect of prey refuge and quality of additional food to predator on balancing the population is crucially analyzed. Theoretical results are supported by numerical simulations. (C) 2021 L&H Scientific Publishing, LLC. All rights reserved.

引用

页码：315 / 328

页数：14

共 52 条

[1] Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
Ahmed, E.
El-Sayed, A. M. A.
El-Saka, H. A. A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 542 - 553
[2] [Anonymous], 2006, NONPERTURBATIVE METH
[3] [Anonymous], 2002, MATH BIOL
[4] COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE
ARDITI, R
GINZBURG, LR
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) : 311 - 326
[5] Baishya C., INT J MATH ARCH, V9, P252
[6] Banshidhar Sahoo Banshidhar Sahoo, 2012, International Journal of Plant Research, V2, P47, DOI 10.5923/j.plant.20120201.07
[7] Quantifying food limitation of arthropod predators in the field
Bilde, T
Toft, S
[J]. OECOLOGIA, 1998, 115 (1-2) : 54 - 58
[8] Omnivory in terrestrial arthropods: Mixing plant and prey diets
Coll, M
Guershon, M
[J]. ANNUAL REVIEW OF ENTOMOLOGY, 2002, 47 : 267 - 297
[9] A predator-prey system with a stage structure for the prey
Cui, Jing'an
Takeuchi, Yasuhiro
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2006, 44 (11-12) : 1126 - 1132
[10] A mathematical model on fractional Lotka-Volterra equations
Das, S.
Gupta, P. K.
[J]. JOURNAL OF THEORETICAL BIOLOGY, 2011, 277 (01) : 1 - 6

← 1 2 3 4 5 6 →