Class information for:
Level 1: KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8973 1200 29.7 56%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
810 2             BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED 12005
8973 1                   KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS 1200

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 KELLER SEGEL MODEL authKW 1387872 5% 91% 60
2 LOGISTIC SOURCE authKW 1348560 4% 100% 53
3 CHEMOTAXIS authKW 1089454 38% 9% 452
4 KELLER SEGEL SYSTEM authKW 967526 3% 98% 39
5 KELLER SEGEL authKW 661558 2% 100% 26
6 CHEMOTAXIS MODEL authKW 448661 2% 77% 23
7 GLOBAL EXISTENCE authKW 442971 13% 11% 156
8 AGGREGATION EQUATION authKW 433894 2% 95% 18
9 ATTRACTION REPULSION authKW 431570 2% 81% 21
10 PARABOLIC ELLIPTIC SYSTEM authKW 358428 2% 78% 18

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 36640 69% 0% 823
2 Mathematics 10243 40% 0% 483
3 Mathematical & Computational Biology 2140 8% 0% 96
4 Physics, Mathematical 1201 9% 0% 113
5 Biology 457 6% 0% 74
6 Mathematics, Interdisciplinary Applications 104 3% 0% 31
7 Mechanics 28 3% 0% 33
8 Physics, Multidisciplinary 2 3% 0% 30
9 Literary Reviews 1 0% 0% 1
10 Computer Science, Interdisciplinary Applications 1 1% 0% 11

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FELIX KLEIN ZENTRUM MATH 95783 1% 47% 8
2 EQUIPE BANG 81421 0% 80% 4
3 PROJECT TEAM COFFEE 81421 0% 80% 4
4 FR 2964 37005 0% 36% 4
5 TEAM BANG 33925 0% 67% 2
6 FELIX KLEIN MATH 28621 0% 38% 3
7 ANALYSE PROBABILITES 25445 0% 100% 1
8 BQ 0021 25445 0% 100% 1
9 CAMILLE JORDAN MATH INFORMATUMR 5208 25445 0% 100% 1
10 CHOOL PL MATH 25445 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 34150 4% 3% 48
2 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 32644 4% 3% 47
3 JOURNAL OF MATHEMATICAL BIOLOGY 19298 4% 2% 42
4 JOURNAL OF DIFFERENTIAL EQUATIONS 18252 6% 1% 72
5 KINETIC AND RELATED MODELS 18063 1% 4% 16
6 NONLINEARITY 13108 3% 1% 41
7 DIFFERENTIAL AND INTEGRAL EQUATIONS 11846 2% 2% 19
8 COMMUNICATIONS IN MATHEMATICAL SCIENCES 11447 2% 3% 18
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 10397 3% 1% 37
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 10154 3% 1% 38

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 KELLER SEGEL MODEL 1387872 5% 91% 60 Search KELLER+SEGEL+MODEL Search KELLER+SEGEL+MODEL
2 LOGISTIC SOURCE 1348560 4% 100% 53 Search LOGISTIC+SOURCE Search LOGISTIC+SOURCE
3 CHEMOTAXIS 1089454 38% 9% 452 Search CHEMOTAXIS Search CHEMOTAXIS
4 KELLER SEGEL SYSTEM 967526 3% 98% 39 Search KELLER+SEGEL+SYSTEM Search KELLER+SEGEL+SYSTEM
5 KELLER SEGEL 661558 2% 100% 26 Search KELLER+SEGEL Search KELLER+SEGEL
6 CHEMOTAXIS MODEL 448661 2% 77% 23 Search CHEMOTAXIS+MODEL Search CHEMOTAXIS+MODEL
7 GLOBAL EXISTENCE 442971 13% 11% 156 Search GLOBAL+EXISTENCE Search GLOBAL+EXISTENCE
8 AGGREGATION EQUATION 433894 2% 95% 18 Search AGGREGATION+EQUATION Search AGGREGATION+EQUATION
9 ATTRACTION REPULSION 431570 2% 81% 21 Search ATTRACTION+REPULSION Search ATTRACTION+REPULSION
10 PARABOLIC ELLIPTIC SYSTEM 358428 2% 78% 18 Search PARABOLIC+ELLIPTIC+SYSTEM Search PARABOLIC+ELLIPTIC+SYSTEM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 BELLOMO, N , BELLOUQUID, A , TAO, Y , WINKLER, M , (2015) TOWARD A MATHEMATICAL THEORY OF KELLER-SEGEL MODELS OF PATTERN FORMATION IN BIOLOGICAL TISSUES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 25. ISSUE 9. P. 1663 -1763 128 74% 54
2 WANG, YL , (2016) A QUASILINEAR ATTRACTION REPULSION CHEMOTAXIS SYSTEM OF PARABOLIC-ELLIPTIC TYPE WITH LOGISTIC SOURCE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 259 -292 42 95% 2
3 LIN, K , MU, CL , GAO, Y , (2016) BOUNDEDNESS AND BLOW UP IN THE HIGHER-DIMENSIONAL ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH NONLINEAR DIFFUSION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 8. P. 4524 -4572 47 98% 0
4 WANG, YL , XIANG, ZY , (2016) GLOBAL EXISTENCE AND BOUNDEDNESS IN A KELLER-SEGEL-STOKES SYSTEM INVOLVING A TENSOR-VALUED SENSITIVITY WITH SATURATION: THE 3D CASE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 9. P. 4944 -4973 41 98% 1
5 WANG, LC , MU, CL , ZHENG, P , (2014) ON A QUASILINEAR PARABOLIC-ELLIPTIC CHEMOTAXIS SYSTEM WITH LOGISTIC SOURCE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 256. ISSUE 5. P. 1847 -1872 36 100% 20
6 ZHENG, P , MU, CL , HU, XG , (2015) BOUNDEDNESS AND BLOW-UP FOR A CHEMOTAXIS SYSTEM WITH GENERALIZED VOLUME-FILLING EFFECT AND LOGISTIC SOURCE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 5. P. 2299 -2323 40 100% 2
7 LI, X , WANG, YL , XIANG, ZY , (2016) GLOBAL EXISTENCE AND BOUNDEDNESS IN A 2D KELLER-SEGEL-STOKES SYSTEM WITH NONLINEAR DIFFUSION AND ROTATIONAL FLUX.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 14. ISSUE 7. P. 1889 -1910 36 97% 2
8 LI, X , XIANG, ZY , (2015) BOUNDEDNESS IN QUASILINEAR KELLER-SEGEL EQUATIONS WITH NONLINEAR SENSITIVITY AND LOGISTIC SOURCE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 8. P. 3503 -3531 36 100% 6
9 SHI, SJ , LIU, ZR , JIN, HY , (2017) BOUNDEDNESS AND LARGE TIME BEHAVIOR OF AN ATTRACTION-REPULSION CHEMOTAXIS MODEL WITH LOGISTIC SOURCE.KINETIC AND RELATED MODELS. VOL. 10. ISSUE 3. P. 855 -878 40 95% 0
10 XIANG, T , (2015) BOUNDEDNESS AND GLOBAL EXISTENCE IN THE HIGHER-DIMENSIONAL PARABOLIC-PARABOLIC CHEMOTAXIS SYSTEM WITH/WITHOUT GROWTH SOURCE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 12. P. 4275 -4323 36 97% 7

Classes with closest relation at Level 1


Rank Class id link
1 8602 FLOCKING//COLLECTIVE MOTION//CUCKER SMALE MODEL
2 4000 CELLULAR POTTS MODEL//HARVARD MIT HST ATHINOULA A MARTINOS BIOMED I//COMPLEX BIOSYST MODELING
3 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
4 15686 THERMISTOR PROBLEM//SEMICONDUCTOR DESIGN//CAPACITY SOLUTIONS
5 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
6 11367 ACTIVE PARTICLES//TUMOR IMMUNE SYSTEM INTERACTION//LIVING SYSTEMS
7 14798 PROTEUS MIRABILIS//BACTERIAL COLONY//MORGANELLA MORGANII
8 10993 MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS
9 4270 BACTERIAL CHEMOTAXIS//CHEMOTAXIS//CHEY
10 25656 BIOCONVECTION//GYROTACTIC MICROORGANISMS//GYROTAXIS

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