On a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response and diffusion

被引：22

作者：

Chen, Fengde ^{[1
]}

Shi, Jinlin ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonautonomous; diffusion; delay; predator-prey; permanence; Holling type functional response;

D O I：

10.1016/j.amc.2007.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-species periodic ratio-dependent predator-prey model with Holling type functional response and diffusion is investigated. Three different sets of sufficient conditions (one set is diffusive independent and the other two sets are diffusive dependent) which ensure the permanence of the system and a set of sufficient condition which ensure the extinction of the predator species are obtained. Examples together with their numeric simulations show the feasibility of the main results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：358 / 369

页数：12

共 50 条

[21] Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling type III functional response
Liu, Guirong
Yan, Jurang
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4341 - 4348
[22] Permanence for a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
Chen, Jiangbin
Yu, Shengbin
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[23] Permanence of a Delayed Ratio-dependent Predator-prey Model with Prey Dispersal
Li, Zuxiong
Chen, Lansun
Huang, Jianmin
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 897 - 901
[24] Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse
Dai, Binxiang
Su, Hua
Hu, Dianwang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 126 - 134
[25] Dynamical analysis of a ratio-dependent predator-prey model with Holling III type functional response and nonlinear harvesting in a random environment
Lan, Guijie
Fu, Yingjie
Wei, Chunjin
Zhang, Shuwen
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[26] Permanency in predator-prey models of Leslie type with ratio-dependent simplified Holling type-IV functional response
Amirabad, H. Qolizadeh
RabieiMotlagh, O.
MohammadiNejad, H. M.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 157 : 63 - 76
[27] Bifurcation analysis of a diffusive predator–prey model with ratio-dependent Holling type III functional response
Jun Zhou
Nonlinear Dynamics, 2015, 81 : 1535 - 1552
[28] Dynamics of a predator-prey model with Allee effect on prey and ratio-dependent functional response
Flores, Jose D.
Gonzalez-Olivares, Eduardo
ECOLOGICAL COMPLEXITY, 2014, 18 : 59 - 66
[29] Turing instability for a ratio-dependent predator-prey model with diffusion
Aly, Shaban
Kim, Imbunm
Sheen, Dongwoo
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) : 7265 - 7281
[30] Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
Yang, Jinghui
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008

← 1 2 3 4 5 →