Coexistence states of a predator-prey system with non-monotonic functional response

被引：32
|
作者：
Ko, Wonlyul [1 ]
Ryu, Kimun [1 ]
机构：
[1] Korea Univ, Dept Math & Informat, Chungnam 339700, South Korea
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 03期
关键词：
coexistence state; Monod-Haldane function; fixed point index; upper-lower solution; bifurcation theory; group defense; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; STEADY-STATES; GLOBAL BIFURCATION; GENERAL-CLASS; MODEL; DIFFUSION;
D O I：
10.1016/j.nonrwa.2006.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate sufficient and necessary conditions for coexistence states of a predator-prey interaction system between two species with non-monotonic functional response under Robin boundary conditions. In view of the results, there is a gap between these two conditions. In this case, we study the multiplicity, stability and some uniqueness of coexistence states depending on some parameters. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：769 / 786
页数：18
相关论文
共 50 条
  • [31] Stability and Coexistence of a Diffusive Predator-Prey System with Nonmonotonic Functional Response and Fear Effect
    Feng, Xiaozhou
    Sun, Hao
    Xiao, Yangfan
    Xiao, Feng
    COMPLEXITY, 2020, 2020
  • [32] Coexistence states of a Holling type-II predator-prey system
    Zhou, Jun
    Mu, Chunlai
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) : 555 - 563
  • [33] A nonautonomous diffusion predator-prey system with functional response
    Xiong, ZL
    ADVANCED TOPICS IN BIOMATHEMATICS, 1998, : 271 - 275
  • [34] Harvesting Analysis of a Predator-Prey System with Functional Response
    Wu, Ting
    ENERGY AND POWER TECHNOLOGY, PTS 1 AND 2, 2013, 805-806 : 1957 - 1961
  • [35] On a stochastic predator-prey system with modified functional response
    Lv, Jingliang
    Wang, Ke
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (02) : 144 - 150
  • [36] Functional response and prey defence level in an experimental predator-prey system
    Altwegg, R
    Eng, M
    Caspersen, S
    Anholt, BR
    EVOLUTIONARY ECOLOGY RESEARCH, 2006, 8 (01) : 115 - 128
  • [37] Coexistence and extinction of a periodic stochastic predator-prey model with general functional response
    Ji, Weiming
    Deng, Meiling
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [38] Coexistence states in a cross-diffusion system of a predator-prey model with predator satiation term
    Cintra, Willian
    Morales-Rodrigo, Cristian
    Suarez, Antonio
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 28 (11): : 2131 - 2159
  • [39] Predator-prey models with non-analytical functional response
    Kooij, Robert E.
    Zegeling, Andre
    CHAOS SOLITONS & FRACTALS, 2019, 123 : 163 - 172
  • [40] Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
    Ryu, Kimun
    Ko, Wonlyul
    Haque, Mainul
    NONLINEAR DYNAMICS, 2018, 94 (03) : 1639 - 1656
12345