Positive steady state of a food chain system with diffusion

Jing Liu; Xiaodong Liu; Sining Zheng; Yanping Lin

Positive steady state of a food chain system with diffusion

Jing Liu, Xiaodong Liu, Sining Zheng, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

This paper deals positive steady state for predator-prey microorganisms in a flow reactor with diffusion and flow. The coexistence conditions for the predator-prey populations are established. The main method used here is the fixed point index theory.

Original language	English
Pages (from-to)	667-676
Number of pages	10
Journal	Discrete and Continuous Dynamical Systems- Series A
Issue number	SUPPL.
Publication status	Published - 1 Sept 2007
Externally published	Yes

Keywords

Coexistence
Diffusion
Fixed point index
Food chain
Micro-organism
Nutrient
Predator-prey
Steady state

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

@article{db6bd5c074e3481eb156fd90cdb33234,

title = "Positive steady state of a food chain system with diffusion",

abstract = "This paper deals positive steady state for predator-prey microorganisms in a flow reactor with diffusion and flow. The coexistence conditions for the predator-prey populations are established. The main method used here is the fixed point index theory.",

keywords = "Coexistence, Diffusion, Fixed point index, Food chain, Micro-organism, Nutrient, Predator-prey, Steady state",

author = "Jing Liu and Xiaodong Liu and Sining Zheng and Yanping Lin",

year = "2007",

month = sep,

day = "1",

language = "English",

pages = "667--676",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "SUPPL.",

}

TY - JOUR

T1 - Positive steady state of a food chain system with diffusion

AU - Liu, Jing

AU - Liu, Xiaodong

AU - Zheng, Sining

AU - Lin, Yanping

PY - 2007/9/1

Y1 - 2007/9/1

N2 - This paper deals positive steady state for predator-prey microorganisms in a flow reactor with diffusion and flow. The coexistence conditions for the predator-prey populations are established. The main method used here is the fixed point index theory.

AB - This paper deals positive steady state for predator-prey microorganisms in a flow reactor with diffusion and flow. The coexistence conditions for the predator-prey populations are established. The main method used here is the fixed point index theory.

KW - Coexistence

KW - Diffusion

KW - Fixed point index

KW - Food chain

KW - Micro-organism

KW - Nutrient

KW - Predator-prey

KW - Steady state

UR - http://www.scopus.com/inward/record.url?scp=84878042544&partnerID=8YFLogxK

M3 - Journal article

SN - 1078-0947

SP - 667

EP - 676

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - SUPPL.

ER -

Positive steady state of a food chain system with diffusion

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this