Class information for:
Level 2: CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1877 6010 23.6 49%


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
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
1877 2             CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED 6010
3912 1                   TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL 1882
8797 1                   CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM 1216
13969 1                   CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION 801
14670 1                   CURRENT DENSITY FILAMENT//GUNN EFFECT//HIGH FIELD DOMAIN 756
16026 1                   NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM 677
21865 1                   NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS 402
25647 1                   PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS 276

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 CROSS DIFFUSION authKW 407701 2% 61% 132
2 TRAVELING WAVE FRONTS authKW 406982 2% 83% 96
3 SPREADING SPEED authKW 383524 2% 80% 94
4 REACTION DIFFUSION SYSTEMS authKW 266222 4% 23% 224
5 REACTION DIFFUSION EQUATIONS authKW 253691 4% 22% 232
6 NONLOCAL DISPERSAL authKW 248961 1% 98% 50
7 TRAVELING WAVES authKW 203152 4% 18% 223
8 MINIMAL WAVE SPEED authKW 150533 1% 87% 34
9 NONLOCAL DIFFUSION authKW 141202 1% 52% 53
10 REACTION DIFFUSION authKW 113023 3% 14% 157

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 103798 52% 1% 3122
2 Mathematics 51033 40% 0% 2413
3 Mathematical & Computational Biology 5431 6% 0% 348
4 Physics, Mathematical 5126 9% 0% 526
5 Biology 1178 5% 0% 279
6 Physics, Multidisciplinary 1102 8% 0% 474
7 Mathematics, Interdisciplinary Applications 840 3% 0% 189
8 Physics, Fluids & Plasmas 698 3% 0% 191
9 Physics, Condensed Matter 357 6% 0% 379
10 Mechanics 224 3% 0% 192

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 UR BIOSTAT PROC SPATIAUX 546 58922 0% 55% 21
2 MATH 35970 29% 0% 1762
3 LATP 28275 1% 10% 54
4 ESCUELA UNIV INGN TECN CIVIL 27648 0% 78% 7
5 PARTIAL DIFFERENTIAL EQUAT 25982 0% 32% 16
6 MATH STAT 22396 9% 1% 562
7 INRIA PROJECT NUMED 20315 0% 100% 4
8 WU WEN TSUN 20315 0% 100% 4
9 YY TSENG FUNCT ANAL 19750 0% 32% 12
10 NONLINEAR STUDIES COMPUTAT 18689 0% 41% 9

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 JOURNAL OF DIFFERENTIAL EQUATIONS 98359 6% 5% 374
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 39703 2% 7% 116
3 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 38466 1% 13% 58
4 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 34099 2% 5% 129
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 32906 3% 4% 155
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 30943 2% 4% 143
7 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 29695 4% 2% 267
8 JOURNAL OF MATHEMATICAL BIOLOGY 29288 2% 5% 116
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 18163 5% 1% 277
10 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 16841 2% 4% 93

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 CROSS DIFFUSION 407701 2% 61% 132 Search CROSS+DIFFUSION Search CROSS+DIFFUSION
2 TRAVELING WAVE FRONTS 406982 2% 83% 96 Search TRAVELING+WAVE+FRONTS Search TRAVELING+WAVE+FRONTS
3 SPREADING SPEED 383524 2% 80% 94 Search SPREADING+SPEED Search SPREADING+SPEED
4 REACTION DIFFUSION SYSTEMS 266222 4% 23% 224 Search REACTION+DIFFUSION+SYSTEMS Search REACTION+DIFFUSION+SYSTEMS
5 REACTION DIFFUSION EQUATIONS 253691 4% 22% 232 Search REACTION+DIFFUSION+EQUATIONS Search REACTION+DIFFUSION+EQUATIONS
6 NONLOCAL DISPERSAL 248961 1% 98% 50 Search NONLOCAL+DISPERSAL Search NONLOCAL+DISPERSAL
7 TRAVELING WAVES 203152 4% 18% 223 Search TRAVELING+WAVES Search TRAVELING+WAVES
8 MINIMAL WAVE SPEED 150533 1% 87% 34 Search MINIMAL+WAVE+SPEED Search MINIMAL+WAVE+SPEED
9 NONLOCAL DIFFUSION 141202 1% 52% 53 Search NONLOCAL+DIFFUSION Search NONLOCAL+DIFFUSION
10 REACTION DIFFUSION 113023 3% 14% 157 Search REACTION+DIFFUSION Search REACTION+DIFFUSION

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 WANG, ZC , LI, WT , RUAN, SG , (2016) EXISTENCE, UNIQUENESS AND STABILITY OF PYRAMIDAL TRAVELING FRONTS IN REACTION-DIFFUSION SYSTEMS.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 10. P. 1869 -1908 47 96% 1
2 WU, SL , SHI, ZX , YANG, FY , (2013) ENTIRE SOLUTIONS IN PERIODIC LATTICE DYNAMICAL SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 10. P. 3505-3535 50 100% 4
3 (2017) INTRODUCTION: THE ROLE OF ADVECTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 245. ISSUE 1161. P. 1 -+ 57 78% 0
4 XU, ZQ , XIAO, DM , (2016) SPREADING SPEEDS AND UNIQUENESS OF TRAVELING WAVES FOR A REACTION DIFFUSION EQUATION WITH SPATIO-TEMPORAL DELAYS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 1. P. 268 -303 42 100% 1
5 HAMEL, F , (2016) BISTABLE TRANSITION FRONTS IN R-N.ADVANCES IN MATHEMATICS. VOL. 289. ISSUE . P. 279 -344 47 80% 2
6 WANG, ZC , NIU, HL , RUAN, SG , (2017) ON THE EXISTENCE OF AXISYMMETRIC TRAVELING FRONTS IN LOTKA-VOLTERRA COMPETITION-DIFFUSION SYSTEMS IN R-3.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 22. ISSUE 3. P. 1111 -1144 43 96% 0
7 GUO, JS , WU, CH , (2012) RECENT DEVELOPMENTS ON WAVE PROPAGATION IN 2-SPECIES COMPETITION SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 17. ISSUE 8. P. 2713 -2724 43 100% 8
8 ZHANG, GB , MA, RY , (2014) SPREADING SPEEDS AND TRAVELING WAVES FOR A NONLOCAL DISPERSAL EQUATION WITH CONVOLUTION-TYPE CROSSING-MONOSTABLE NONLINEARITY.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 65. ISSUE 5. P. 819 -844 42 100% 1
9 BU, ZH , WANG, ZC , LIU, NW , (2016) ASYMPTOTIC BEHAVIOR OF PULSATING FRONTS AND ENTIRE SOLUTIONS OF REACTION-ADVECTION-DIFFUSION EQUATIONS IN PERIODIC MEDIA.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 28. ISSUE . P. 48 -71 38 97% 1
10 FANG, J , ZHAO, XQ , (2015) BISTABLE TRAVELING WAVES FOR MONOTONE SEMIFLOWS WITH APPLICATIONS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 9. P. 2243 -2288 32 97% 17

Classes with closest relation at Level 2


Rank Class id link
1 560 PERMANENCE//GLOBAL STABILITY//PREDATOR PREY SYSTEM
2 3627 PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE
3 2400 CHEMICAL OSCILLATIONS//NONLINEAR PHYS CHEM UNIT//OSCILLATING CHEMICAL REACTION
4 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
5 4183 STRAY VOLTAGE//MILKLINES//MILKING MACHINES
6 3989 HOMOTOPIC MAPPING//CLIMATE STUDIES CHINA METEOROL ADM//VARIATIONAL ITERATION
7 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
8 4017 APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS
9 1806 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//TIME VARYING DELAY
10 1489 SPIRAL WAVE//T WAVE ALTERNANS//OPTICAL MAPPING

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