Functional and Numerical Response in Prey-Predator System

被引:4
作者
Abu Hasan, Y. [1 ]
Alebraheem, J. [2 ]
机构
[1] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
[2] Majmaah Univ, Al Zufli Coll Sci, Dept Math, Al Majmaah, Saudi Arabia
来源
SYMPOSIUM ON BIOMATHEMATICS | 2015年 / 1651卷
关键词
predator-prey model; function response; numerical response; INTERFERENCE; DEPENDENCE; DYNAMICS;
D O I
10.1063/1.4914425
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Two of the important terms describing the relationship in a prey-predator system of equations are the functional and numerical responses. The standard functional response used by theoretical and field ecologists is the Holling type-2 functional response. This function was later modified to take into account predator interference as a result of an increase in predator density. In this paper, we introduce a model that can take into account the predator interactions through the numerical response, without modifying the Holling functional response. The correctness of the model and its dynamical behaviour is discussed. Comparisons are made with model with a standard response.
引用
收藏
页码:3 / 11
页数:9
相关论文
共 16 条
  • [1] Dynamics of a two predator-one prey system
    Alebraheem, Jawdat
    Abu Hasan, Yahya
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2014, 33 (03) : 767 - 780
  • [2] COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE
    ARDITI, R
    GINZBURG, LR
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) : 311 - 326
  • [3] MUTUAL INTERFERENCE BETWEEN PARASITES OR PREDATORS AND ITS EFFECT ON SEARCHING EFFICIENCY
    BEDDINGTON, JR
    [J]. JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) : 331 - 340
  • [4] DeAngeles D., 1999, ECOLOGY, V56, P881
  • [5] Effect of time delay on a harvested predator-prey model
    Gazi N.H.
    Bandyopadhyay M.
    [J]. Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 263 - 280
  • [6] Holling C. S., 1959, Canadian Entomologist, V91, P385
  • [7] HOLLING C. S., 1959, CANADIAN ENT, V91, P293
  • [8] A direct, experimental test of resource vs. consumer dependence: Comment
    Jensen, Christopher X. J.
    Jeschke, Jonathan M.
    Ginzburg, Lev R.
    [J]. ECOLOGY, 2007, 88 (06) : 1600 - 1602
  • [9] Functional responses modified by predator density
    Kratina, Pavel
    Vos, Matthijs
    Bateman, Andrew
    Anholt, Bradley R.
    [J]. OECOLOGIA, 2009, 159 (02) : 425 - 433
  • [10] Li J., 2013, P ROYAL SOC B, V280, P1