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

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


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Clarivate Analytics published the InCites Journal Citations Report for 2017. The JCR Impact Factor of Advances in Electrical and Computer Engineering is 0.699, and the JCR 5-Year Impact Factor is 0.674.

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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
Click to see author's profile in See more information about the author on SCOPUS SCOPUS, See more information about the author on IEEE Xplore IEEE Xplore, See more information about the author on Web of Science Web of Science

Download PDF pdficon (906 KB) | Citation | Downloads: 672 | Views: 3,168

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

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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.

[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 7] [SCOPUS Times Cited 13]

[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 60] [SCOPUS Times Cited 68]

[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 132] [SCOPUS Times Cited 146]

[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 107] [SCOPUS Times Cited 114]

[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 13] [SCOPUS Times Cited 11]

[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 270] [SCOPUS Times Cited 289]

[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.

References Weight

Web of Science® Citations for all references: 589 TCR
SCOPUS® Citations for all references: 641 TCR

Web of Science® Average Citations per reference: 42 ACR
SCOPUS® Average Citations per reference: 46 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 2019-02-11 08:02 in 57 seconds.

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Faculty of Electrical Engineering and Computer Science
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