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Effect of diffusion and spatially varying risk on the dynamics and equilibrium density of a predator-prey system
Xu, CL; Li, ZZ
2002-11-07
Source PublicationJOURNAL OF THEORETICAL BIOLOGY   Impact Factor & Quartile Of Published Year  The Latest Impact Factor & Quartile
ISSN0022-5193
Volume219Issue:1Pages:73-82
AbstractStarting from natural planktonic systems, we present a new mechanism involving spatial heterogeneity, and develop a new spatial structure model of planktonic predation systems. Firstly, the effect of diffusion on the dynamics of the system is investigated. We find that diffusion of only prey or both prey and predator between different patches with different predation risk may stabilize the dynamics, depending on the flow rate. Only a medium flow rate can lead to the stability of the system. Too large a rate can cause the system to approach the non-spatial limit case of a well-mixed system. Too large a rate can cause the system to approach the non-spatial limit case as a well-mixed system, which is characterized by its strongly oscillatory dynamics. When only prey diffuse, the smaller the parameter f (the proportion of the patchy volume with larger predation risk to the total volume), the more stable the system. If both populations can diffuse, however, only medium and very small f values may stabilize the system. Also, the response of the spatially averaged equilibrium densities of the system to the increasing of the flow rate is examined. With increasing flow rate, the spatial-averaged equilibrium density of prey decreases, while that of predator depends on which species can diffuse. For the case of prey diffusion only, it first remains unchanged and then slightly decreases, while it increases for the case of combinations as the flow rate increases. Our results are, qualitatively, determined by the spatially heterogeneous mechanism that we propose, and further regulated by top-down forces. Of practical importance, the results reported here indicate that which species diffuse plays a key role in the ways in which diffusion influences the dynamics and the spatial-average equilibrium densities of the system responses to the flow rate's increasing. (C) 2002 Elsevier Science Ltd. All rights reserved.
Subject AreaLife Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
PublisherELSEVIER
DOI10.1006/yjtbi.3110
Publication PlaceLONDON
Indexed BySCIE ; PubMed ; MEDLINE ; BIOSIS
Language英语
First Inst
WOS IDWOS:000179557000007
SubtypeArticle
PMID 12392976
BIOSIS IDBIOSIS:PREV200300046289
DepartmentLanzhou Univ, State Key Lab Arid Agroecol, Lanzhou 730000, Gansu, Peoples R China
Citation statistics
Document Type期刊论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/114072
Collection生命科学学院
Corresponding AuthorXu, CL
Affiliation
Lanzhou Univ, State Key Lab Arid Agroecol, Lanzhou 730000, Gansu, Peoples R China
Recommended Citation
GB/T 7714
Xu, CL,Li, ZZ. Effect of diffusion and spatially varying risk on the dynamics and equilibrium density of a predator-prey system[J]. JOURNAL OF THEORETICAL BIOLOGY,2002,219(1):73-82.
APA Xu, CL,&Li, ZZ.(2002).Effect of diffusion and spatially varying risk on the dynamics and equilibrium density of a predator-prey system.JOURNAL OF THEORETICAL BIOLOGY,219(1),73-82.
MLA Xu, CL,et al."Effect of diffusion and spatially varying risk on the dynamics and equilibrium density of a predator-prey system".JOURNAL OF THEORETICAL BIOLOGY 219.1(2002):73-82.
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