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Analysis of institutional authors

Tello, J. I.Corresponding Author

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June 9, 2019
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Article

Stabilization in a two-species chemotaxis system with a logistic source

Publicated to: NONLINEARITY. 25 (5): 1413-1425 - 2012-05-01 25(5), DOI: 10.1088/0951-7715/25/5/1413

Authors:

Tello, JI; Winkler, M
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Affiliations

Univ Paderborn, Inst Math - Author
Univ Politecn Madrid, EUI - Author

Abstract

We study a system of three partial differential equations modelling the spatio-temporal behaviour of two competitive populations of biological species both of which are attracted chemotactically by the same signal substance. More precisely, we consider the initial-boundary value problem for {u(t) = d(1)Delta u - chi(1)del . (u del w) + mu(1)u(1 - u - a(1)v), x is an element of Omega, t > 0, v(t) = d(2)Delta v - chi(2)del . (v del w) + mu(2)v(1 - a(2)u - v), x is an element of Omega, t > 0, -Delta w + lambda w = u + v, x is an element of Omega, t > 0, under homogeneous Neumann boundary conditions in a bounded domain Omega subset of R-n, n >= 1, with smooth boundary. When 0 <= a(1) < 1 and 0 <= a(2) < 1, this system possesses a uniquely determined spatially homogeneous positive equilibrium (u(star), v(star)). We show that given any such a(1) and a(2) and any positive diffusivities d(1) and d(2) and cross-diffusivities chi(1) and chi(2), this steady state is globally asymptotically stable within a certain nonempty range of the logistic growth coefficients mu(1) and mu(2).
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Keywords

Blow-upModel

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal NONLINEARITY due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2012, it was in position 17/55, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 12.08. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 13, 2025)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 8.59 (source consulted: FECYT Mar 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-24, the following number of citations:

  • WoS: 185
  • Scopus: 183
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-24:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 21 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/15744/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 446
  • Downloads: 834
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Germany.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (TELLO DEL CASTILLO, JOSE IGNACIO) .

the author responsible for correspondence tasks has been TELLO DEL CASTILLO, JOSE IGNACIO.

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Awards linked to the item

The first author is partly supported by project MTM2009-13655 MICINN (Spain).
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