A Host-parasitoid Dynamics with Allee and Refuge effects

被引:0
|
作者
Kulahcioglu, Burcin [1 ]
Ufuktepe, Unal [2 ]
Kalampakas, Antonios [2 ]
机构
[1] Beykoz Univ, Fac Engn & Architecture, Istanbul, Turkiye
[2] Amer Univ Middle East, Coll Engn & Technol, Kuwait, Kuwait
来源
关键词
Discrete dynamical systems; Host-parasitoid; Nicholson; -Bailey; Bi; furcation; Allee effect; Refuge effect;
D O I
10.29020/nybg.ejpam.v16i2.4707
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We examine a discrete-time host-parasitoid model incorporating simultaneously an Allee and a refuge effect on the host. We investigate existence of a positive fixed point, local asymptotic stability, global stability of the fixed points and bifurcations. Numerical examples are given for verification of the theoretical results and we compare the model with existing data from the literature. 2020 Mathematics Subject Classifications: 92D25, 39A30, 92D30
引用
收藏
页码:736 / 750
页数:15
相关论文
共 50 条
  • [41] Host-parasitoid spatial dynamics in heterogeneous landscapes
    Hirzel, Alexandre H.
    Nisbet, Roger M.
    Murdoch, William W.
    OIKOS, 2007, 116 (12) : 2082 - 2096
  • [42] VARIABLE PARASITOID SEX-RATIOS AND THEIR EFFECT ON HOST-PARASITOID DYNAMICS
    HASSELL, MP
    WAAGE, JK
    MAY, RM
    JOURNAL OF ANIMAL ECOLOGY, 1983, 52 (03) : 889 - 904
  • [43] Evolution of host-parasitoid network through homeochaotic dynamics
    Ikegami, Takashi
    Kaneko, Kunihiko
    CHAOS, 1992, 2 (03) : 397 - 407
  • [44] Linking the coevolutionary and population dynamics of host-parasitoid interactions
    Fellowes, MDE
    Travis, JMJ
    POPULATION ECOLOGY, 2000, 42 (02) : 195 - 203
  • [45] The effects of a pool of dispersers on host-parasitoid systems
    Weisser, WW
    Jansen, VAA
    Hassell, MP
    JOURNAL OF THEORETICAL BIOLOGY, 1997, 189 (04) : 413 - 425
  • [46] The influence of local mate competition on host-parasitoid dynamics
    Meunier, J
    Bernstein, C
    ECOLOGICAL MODELLING, 2002, 152 (01) : 77 - 88
  • [47] Differential cannibalism and population dynamics in a host-parasitoid system
    Reed, DJ
    Begon, M
    Thompson, DJ
    OECOLOGIA, 1996, 105 (02) : 189 - 193
  • [48] Population dynamics of apparent competition in a host-parasitoid assemblage
    Bonsall, MB
    Hassell, MP
    JOURNAL OF ANIMAL ECOLOGY, 1998, 67 (06) : 918 - 929
  • [49] Host-parasitoid food webs: Dynamics, persistence, and invasion
    Wilson, HB
    Hassell, MP
    Godfray, HCJ
    AMERICAN NATURALIST, 1996, 148 (05): : 787 - 806
  • [50] On-off intermittency and irruptions in host-parasitoid dynamics
    Vissio, Gabriele
    Provenzale, Antonello
    JOURNAL OF THEORETICAL BIOLOGY, 2022, 546