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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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SCOPUS published the CiteScore for 2021, computed by using an improved methodology, counting the citations received in 2018-2021 and dividing the sum by the number of papers published in the same time frame. The CiteScore of Advances in Electrical and Computer Engineering for 2021 is 2.5, the same as for 2020 but better than all our previous results.

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Simulation Analyses of Behaviours of Spatially Extended Predator-Prey Systems with Random Fluctuations

ISHIKAWA, M. See more information about ISHIKAWA, M. on SCOPUS See more information about ISHIKAWA, M. on IEEExplore See more information about ISHIKAWA, M. on Web of Science
 
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Download PDF pdficon (906 KB) | Citation | Downloads: 1,114 | Views: 4,486

Author keywords
spatio-temporal pattern, predator-prey systems, stochastic reaction diffusion systems, plankton dynamics, numerical simulations

References keywords
pattern(7), formation(7), temporal(4), spatio(4), petrovskii(4), malchow(4), dynamics(4)
No common words between the references section and the paper title.

About this article
Date of Publication: 2008-04-02
Volume 8, Issue 1, Year 2008, On page(s): 2 - 6
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2008.01001
Web of Science Accession Number: 000259903500001
SCOPUS ID: 77955613114

Abstract
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We often observe some kind or another of random fluctuations in physical, chemical and social phenomena to a greater or lesser extent. The analysis of influence of such fluctuations on phenomena is very important as a basic problem in various fields including design and planning of controlled systems in control engineering and analysis of option pricing in economics. In this paper, focusing on biological communities, we study the influence of the random fluctuations on predator-prey systems with diffusion. Noting that interaction of phytoplankton and zooplankton is the basis of a food chain in the lake and the ocean, we consider the two-species predator-prey systems consists of phytoplankton and zooplankton. We analyze the influence of the random fluctuations on the spatio-temporal patterns generated by phytoplankton and zooplankton by the numerical simulations.


References | Cited By  «-- Click to see who has cited this paper

[1] Walgraef D., Spatio-Temporal Pattern Formation, Springer-Verlag, 1997.
[CrossRef]


[2] Murray J. D., Mathematical Biology I, II, Springer-Verlag, 2001.

[3] Meinhardt H., Algorithmic Beauty of Sea Shells, 3rd ed., Springer-Verlag, 2003.

[4] Meinhardt H., Models of Biological Pattern Formation, Academic Press, 1982.

[5] Mansour M. B. A., Traveling Wave Solutions of a Nonlinear Reaction-diffusion-chemotaxis Model for Bacterial Pattern Formation, Applied Mathematical Modelling, 32 (2), pp. 240-247, 2008.
[CrossRef] [Web of Science Times Cited 21] [SCOPUS Times Cited 21]


[6] Khain E. and Sander L. M., Dynamics and Pattern Formation in Invasive Tumor Growth, Physical Review Letters, 96 (18), art. no. 188103, 2006.
[CrossRef] [Web of Science Times Cited 82] [SCOPUS Times Cited 87]


[7] Vicsek T., Fluctuations and Scaling in Biology, Oxford Univ. Press, 2001.

[8] Gottelli N. J., A Primer of Ecology, Sinauer Associates, 2001.

[9] Petrovskii S. V. and Malchow H., Wave of Chaos: New Mechanism of Pattern Formation in Spatio-temporal Population Dynamics, Theoretical Population Biology 59, 157-174, 2001.
[CrossRef] [PubMed] [Web of Science Times Cited 170] [SCOPUS Times Cited 189]


[10] Petrovskii S. V. and Malchow H., A Minimal Model of Pattern Formation in a Prey-Predator System, Mathematical and Computer Modelling, 29, 49-63, 1999.
[CrossRef] [Web of Science Times Cited 149] [SCOPUS Times Cited 155]


[11] Medvinskii A. B., Petrovskii S. V. and Malchow H. et al., Spatio-temporal Pattern Formation, fractals, and Chaos in Conceptual Ecological Models as applied to Coupled Plankton-fish Dynamics, Physics-Uspekhi, 45 (1), pp.27-57, 2002.
[CrossRef] [Web of Science Times Cited 23] [SCOPUS Times Cited 23]


[12] Medvinsky A. B., Petrovskii S. V., I. A. Tikhonova, Malchow H. and Li B-L., Spatio-temporal Complexity of Plankton and Fish Dynamics, SIAM Review, 44, (3), pp.311-370, 2002.
[CrossRef] [Web of Science Times Cited 396] [SCOPUS Times Cited 427]


[13] Kallianpur G. and Xiong, J., Stochastic Differential Equations in Infinite Dimensional Spaces, IMS Lecture Notes-Monograph Series, Institute of Mathematical Statistics, Vol. 26, 1995.

[14] Mikosch T., Elementary Stochastic Calculus with Finance in View, World Scientific Publishing, 1998.
[CrossRef]


References Weight

Web of Science® Citations for all references: 841 TCR
SCOPUS® Citations for all references: 902 TCR

Web of Science® Average Citations per reference: 60 ACR
SCOPUS® Average Citations per reference: 64 ACR

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2024-04-17 19:54 in 60 seconds.




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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania


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