Permanence of a predator-prey discrete system with Holling-IV functional response and distributed delays

被引：7
作者：
Zhang, X. [1 ]
Wu, Z. [1 ]
Zhou, T. [1 ]
机构：
[1] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China
来源：
JOURNAL OF BIOLOGICAL DYNAMICS | 2016年 / 10卷 / 01期
关键词：
discrete-time predator-prey system; permanence; non-monotonic functional response; distributed delays; 92D25; 92B05; 39A22; MULTIPLE PERIODIC-SOLUTIONS; STAGE STRUCTURE; MODEL;
D O I：
10.1080/17513758.2015.1099750
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
A predator-prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator-prey system. Two examples are given to illustrate the feasibility of the obtained result.
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页码：1 / 17
页数：17
相关论文
共 27 条
[1]   A MATHEMATICAL MODEL FOR CONTINUOUS CULTURE OF MICROORGANISMS UTILIZING INHIBITORY SUBSTRATES [J].
ANDREWS, JF .
BIOTECHNOLOGY AND BIOENGINEERING, 1968, 10 (06) :707-+
[2]   TIME LAG IN POPULATION GROWTH RESPONSE OF ISOCHRYSIS GALBANA TO A VARIABLE NITRATE ENVIRONMENT [J].
CAPERON, J .
ECOLOGY, 1969, 50 (02) :188-&
[3]   ANALYSIS OF STABILITY FOR A DISCRETE RATIO-DEPENDENT PREDATOR-PREY SYSTEM [J].
Chen, Guangye ;
Teng, Zhidong ;
Hu, Zengyun .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2011, 42 (01) :1-26
[4]  
Chen L., 2008, DISCRETE DYN NAT SOC, V2008, P629
[5]   BIFURCATION AND CONTROL FOR A DISCRETE-TIME PREY-PREDATOR MODEL WITH HOLLING-IV FUNCTIONAL RESPONSE [J].
Chen, Qiaoling ;
Teng, Zhidong ;
Hu, Zengyun .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (02) :247-261
[6]   Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay [J].
Ding, Xiaohua ;
Lu, Chun ;
Liu, Mingzhu .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (03) :762-775
[7]   Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system [J].
Fan, M ;
Wang, K .
MATHEMATICAL AND COMPUTER MODELLING, 2002, 35 (9-10) :951-961
[8]   Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response [J].
Fan, YH ;
Li, WT .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (02) :357-374
[9]   On a Generalized Discrete Ratio-Dependent Predator-Prey System [J].
Fan, Yong-Hong ;
Wang, Lin-Lin .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[10]   Periodic solutions in a delayed predator-prey model with nonmonotonic functional response [J].
Fan, Yong-Hong ;
Wang, Lin-Lin .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :3275-3284
123