Generalized Beddington model with the host subject to the Allee Effect

被引:3
作者
Ufuktepe, U. [1 ]
Kapcak, S. [2 ]
机构
[1] Amer Univ Middle East, Dept Math & Statict, Egaila, Kuwait
[2] Amer Univ Middle East, Egaila, Kuwait
关键词
host-parasitoid; predator-prey; beddington model; allee effect; discrete dynamical systems; HETEROGENEITY; DYNAMICS;
D O I
10.1515/phys-2015-0055
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the stability and invariant manifolds of generalized Beddington model with the host population subject to the Allee effect. We obtain the condition for the existence of the fixed points and investigate the stability of the system.
引用
收藏
页码:428 / 434
页数:7
相关论文
共 10 条
[1]  
Elaydi S., 2008, DISCRETE CHAOS APPL
[2]   Host-parasitoid population dynamics [J].
Hassell, MP .
JOURNAL OF ANIMAL ECOLOGY, 2000, 69 (04) :543-566
[3]   HETEROGENEITY AND THE DYNAMICS OF HOST PARASITOID INTERACTIONS [J].
HASSELL, MP ;
PACALA, SW .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1990, 330 (1257) :203-220
[4]  
HASSELL MP, 1988, ANN ZOOL FENN, V25, P55
[5]   AGGREGATION OF PREDATORS AND INSECT PARASITES AND ITS EFFECT ON STABILITY [J].
HASSELL, MP ;
MAY, RM .
JOURNAL OF ANIMAL ECOLOGY, 1974, 43 (02) :567-594
[6]  
Hone A. N. W., 2010, Journal of Biological Dynamics, V4, P594, DOI 10.1080/17513750903528192
[7]   A host-parasitoid interaction with Allee effects on the host [J].
Jang, Sophia R-J ;
Diamond, Sandra L. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (01) :89-103
[8]   Stability and invariant manifolds of a generalized Beddington host-parasitoid model [J].
Kapcak, Sinan ;
Ufuktepe, Unal ;
Elaydi, Saber .
JOURNAL OF BIOLOGICAL DYNAMICS, 2013, 7 (01) :233-253
[10]  
Nicholson AJ., 1935, Proceedings of the Zoological Society of London, V3, P551