Perturbations On Prey Predator Equilibria: An In Silico Approach Effect of Epidemics on Prey-Predator System

被引:0
|
作者
Paul, Anupama [1 ]
Aiswaria, Lakshmi K. G. [1 ]
Anitha, V. R. [1 ]
Reshma, P. [1 ]
Reshmi, Nair L. R. [1 ]
Vidya, Vinodini M. D. [1 ]
Manojkumar, T. K. [1 ]
机构
[1] Indian Inst Informat Technol & Management Kerala, Adv Sch Computat Sci, Trivandrum 695581, Kerala, India
关键词
epidemics; z-shaped function; linear beahviour; three species model; STABILITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Traditional models state that both prey and predator population depend each other and they follow same cycle indefinitely until an external force is used. In this manuscript the effect of epidemics on two/three species prey-predator system under the influence of epidemics is studied using time delay models. A z-shaped function in prey-predator mathematical model to find the effect of epidemics is introduced. After the epidemics both prey and predators showed a constant rate of change in population. In three species model the second predator and prey species are not directly dependent so the effect of less number of prey species affects the second predator gradually so it does not show large variations whereas it keeps a linear behavior.
引用
收藏
页码:428 / 432
页数:5
相关论文
共 50 条
  • [41] The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator
    Zhang, SW
    Dong, LZ
    Chen, LS
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 631 - 643
  • [42] Influence of prey reserve in a prey-predator fishery
    Kar, Tapan Kumar
    Misra, Swarnakamal
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (09) : 1725 - 1735
  • [43] Impact of predator dormancy on prey-predator dynamics
    Freire, Joana G.
    Gallas, Marcia R.
    Gallas, Jason A. C.
    [J]. CHAOS, 2018, 28 (05)
  • [44] A prey-predator model with microparasite infection in the predator
    Maiti, A.
    Bera, S. P.
    Samanta, G. P.
    [J]. JOURNAL OF BIOLOGICAL SYSTEMS, 2008, 16 (02) : 219 - 239
  • [45] Analysis of a prey-predator model with disease in prey
    Li, Jianjun
    Gao, Wenjie
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 4024 - 4035
  • [46] The phenotype space approach to prey-predator coevolution
    Lemke, N
    [J]. THEORY IN BIOSCIENCES, 1998, 117 (04) : 321 - 333
  • [47] A COMPUTATIONAL APPROACH TO SOLVE THE NONLINEAR BIOLOGICAL PREY-PREDATOR SYSTEM
    Saeed, T.
    Guirao, Juan L. G.
    Sabir, Zulqurnain
    Alsulami, Hamed H.
    Guerrero Sanchez, Yolanda
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (10)
  • [48] ON VARMA PREY-PREDATOR PROBLEM
    WILLSON, AJ
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 1980, 42 (04) : 599 - 600
  • [49] DISCRETE PREY-PREDATOR MODEL
    GENTIL, S
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (20): : 973 - 975
  • [50] Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
    Mahapatra, G. S.
    Santra, P. K.
    Bonyah, Ebenezer
    [J]. COMPLEXITY, 2021, 2021