Class information for:
Level 1: TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3912 1882 27.0 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
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

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 TRAVELING WAVE FRONTS authKW 1246472 5% 82% 94
2 SPREADING SPEED authKW 1225161 5% 80% 94
3 NONLOCAL DISPERSAL authKW 795253 3% 98% 50
4 TRAVELING WAVES authKW 507006 10% 16% 197
5 MINIMAL WAVE SPEED authKW 480864 2% 87% 34
6 NONLOCAL DIFFUSION authKW 451147 3% 52% 53
7 TRAVELING WAVE SOLUTIONS authKW 319587 5% 22% 90
8 INTEGRODIFFERENCE EQUATIONS authKW 310201 1% 68% 28
9 REACTION DIFFUSION EQUATIONS authKW 308068 8% 13% 143
10 NONLOCAL DELAY authKW 270380 1% 83% 20

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 47828 63% 0% 1180
2 Mathematics 22896 48% 0% 898
3 Mathematical & Computational Biology 5090 10% 0% 184
4 Physics, Mathematical 1405 8% 0% 155
5 Biology 1351 8% 0% 154
6 Mathematics, Interdisciplinary Applications 575 4% 0% 83
7 Mechanics 183 4% 0% 84
8 Ecology 122 4% 0% 75
9 Evolutionary Biology 28 1% 0% 23
10 Physics, Fluids & Plasmas 11 1% 0% 22

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 170752 1% 53% 20
2 LATP 90529 3% 10% 54
3 INRIA PROJECT NUMED 64893 0% 100% 4
4 EQUIPE BIOSP 43259 0% 67% 4
5 MATH MARSEILLEUMR 7373 37078 0% 57% 4
6 UMR CNRS UMPA 5669 36501 0% 75% 3
7 PL MATH COMPLEX SYST 36495 0% 38% 6
8 MATH STAT 30255 19% 1% 361
9 CULTURE INFORMAT SCI 25944 0% 20% 8
10 CAMS 24573 1% 8% 19

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 48599 8% 2% 147
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 47633 4% 4% 71
3 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 44797 2% 8% 35
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 24442 4% 2% 71
5 JOURNAL OF MATHEMATICAL BIOLOGY 24269 3% 3% 59
6 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20882 4% 2% 69
7 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 17046 3% 2% 51
8 NONLINEARITY 15025 3% 2% 55
9 MATHEMATICAL MODELLING OF NATURAL PHENOMENA 14002 1% 4% 23
10 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 9134 2% 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 TRAVELING WAVE FRONTS 1246472 5% 82% 94 Search TRAVELING+WAVE+FRONTS Search TRAVELING+WAVE+FRONTS
2 SPREADING SPEED 1225161 5% 80% 94 Search SPREADING+SPEED Search SPREADING+SPEED
3 NONLOCAL DISPERSAL 795253 3% 98% 50 Search NONLOCAL+DISPERSAL Search NONLOCAL+DISPERSAL
4 TRAVELING WAVES 507006 10% 16% 197 Search TRAVELING+WAVES Search TRAVELING+WAVES
5 MINIMAL WAVE SPEED 480864 2% 87% 34 Search MINIMAL+WAVE+SPEED Search MINIMAL+WAVE+SPEED
6 NONLOCAL DIFFUSION 451147 3% 52% 53 Search NONLOCAL+DIFFUSION Search NONLOCAL+DIFFUSION
7 TRAVELING WAVE SOLUTIONS 319587 5% 22% 90 Search TRAVELING+WAVE+SOLUTIONS Search TRAVELING+WAVE+SOLUTIONS
8 INTEGRODIFFERENCE EQUATIONS 310201 1% 68% 28 Search INTEGRODIFFERENCE+EQUATIONS Search INTEGRODIFFERENCE+EQUATIONS
9 REACTION DIFFUSION EQUATIONS 308068 8% 13% 143 Search REACTION+DIFFUSION+EQUATIONS Search REACTION+DIFFUSION+EQUATIONS
10 NONLOCAL DELAY 270380 1% 83% 20 Search NONLOCAL+DELAY Search NONLOCAL+DELAY

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 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
3 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 48 96% 4
4 HAMEL, F , (2016) BISTABLE TRANSITION FRONTS IN R-N.ADVANCES IN MATHEMATICS. VOL. 289. ISSUE . P. 279 -344 47 80% 2
5 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
6 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
7 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
8 BAO, XX , (2017) TIME PERIODIC TRAVELING FRONTS OF PYRAMIDAL SHAPES FOR PERIODIC LOTKA-VOLTERRA COMPETITION-DIFFUSION SYSTEM.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 35. ISSUE . P. 292 -311 39 98% 0
9 SHEN, WX , SHEN, ZW , (2017) TRANSITION FRONTS IN NONLOCAL EQUATIONS WITH TIME HETEROGENEOUS IGNITION NONLINEARITY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 37. ISSUE 2. P. 1013 -1037 38 100% 0
10 YANG, FY , LI, WT , WANG, ZC , (2015) TRAVELING WAVES IN A NONLOCAL DISPERSAL SIR EPIDEMIC MODEL.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 23. ISSUE . P. 129 -147 39 98% 2

Classes with closest relation at Level 1


Rank Class id link
1 25647 PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS
2 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING
3 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
4 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
5 34275 NONLINEAR INTEGRO PARTIAL DIFFERENTIAL EQUATION//EPIDEMIC SYSTEMS//INTEGRAL NONLOCAL TERM
6 20532 ALLEE EFFECT//GRP ECOL MATEMAT//COMPONENT ALLEE EFFECT
7 20569 TOXIN PRODUCING PHYTOPLANKTON//PARADOX OF PLANKTON//ZHEJIANG PROV WATER ENVIRONM MARINE BIO
8 17607 CNRS URA 765//DEPARTURE FROM PARTIAL EQUILIBRIUM//FINITE MEMORY EFFECT
9 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
10 36081 INGN ERVORIOS//ADAPTIVE IMPLICIT METHOD//CONVOLUTIONAL INTEGRAL

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