Class information for:
Level 1: CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8797 1216 23.2 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
8797 1                   CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM 1216

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 1955444 11% 60% 130
2 COEXISTENCE STATES authKW 404127 2% 62% 26
3 CROSS DIFFUSION SYSTEM authKW 402502 2% 70% 23
4 NON CONSTANT POSITIVE STEADY STATES authKW 351536 1% 100% 14
5 STEADY STATE BIFURCATION authKW 291386 2% 55% 21
6 STATIONARY PATTERN authKW 283253 2% 59% 19
7 POSITIVE STEADY STATE SOLUTIONS authKW 233710 1% 85% 11
8 REACTION DIFFUSION ADVECTION authKW 232427 1% 51% 18
9 REACTION DIFFUSION SYSTEMS authKW 217339 7% 10% 91
10 EVOLUTION OF DISPERSAL authKW 180768 1% 40% 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 35778 67% 0% 819
2 Mathematics 19559 55% 0% 664
3 Mathematical & Computational Biology 2296 8% 0% 100
4 Biology 463 6% 0% 75
5 Mathematics, Interdisciplinary Applications 224 4% 0% 43
6 Multidisciplinary Sciences 55 1% 0% 17
7 Physics, Mathematical 43 2% 0% 29
8 Computer Science, Software Engineering 22 1% 0% 18
9 Computer Science, Interdisciplinary Applications 16 2% 0% 20
10 Mechanics 9 2% 0% 25

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 UFR MI2S 78464 0% 63% 5
2 YY TSENG FUNCT ANAL 67849 1% 27% 10
3 MODELING SCI COMP CMCS MATHICSE SB 56495 0% 75% 3
4 PARTIAL DIFFERENTIAL EQUAT 40663 1% 18% 9
5 ABEEK 25110 0% 100% 1
6 ANTENNE DE BEAUVAIS 25110 0% 100% 1
7 CNRS MATH BORDEAUXUMR 5251 25110 0% 100% 1
8 CNRS UMR MAB INRIA FUTURS ANUBIS 5466 25110 0% 100% 1
9 DPTO ECUC DIFERENCIALES ANAL NUMER 25110 0% 100% 1
10 ECUACIONES DIFERENCIALES ANAL NUMERO 25110 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 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 34210 5% 2% 58
2 JOURNAL OF DIFFERENTIAL EQUATIONS 26332 7% 1% 87
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 21599 8% 1% 102
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 14104 9% 1% 109
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 13141 2% 2% 30
6 JOURNAL OF MATHEMATICAL BIOLOGY 11742 3% 1% 33
7 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 9288 3% 1% 31
8 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 7648 1% 2% 13
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7375 3% 1% 33
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 7192 3% 1% 31

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 1955444 11% 60% 130 Search CROSS+DIFFUSION Search CROSS+DIFFUSION
2 COEXISTENCE STATES 404127 2% 62% 26 Search COEXISTENCE+STATES Search COEXISTENCE+STATES
3 CROSS DIFFUSION SYSTEM 402502 2% 70% 23 Search CROSS+DIFFUSION+SYSTEM Search CROSS+DIFFUSION+SYSTEM
4 NON CONSTANT POSITIVE STEADY STATES 351536 1% 100% 14 Search NON+CONSTANT+POSITIVE+STEADY+STATES Search NON+CONSTANT+POSITIVE+STEADY+STATES
5 STEADY STATE BIFURCATION 291386 2% 55% 21 Search STEADY+STATE+BIFURCATION Search STEADY+STATE+BIFURCATION
6 STATIONARY PATTERN 283253 2% 59% 19 Search STATIONARY+PATTERN Search STATIONARY+PATTERN
7 POSITIVE STEADY STATE SOLUTIONS 233710 1% 85% 11 Search POSITIVE+STEADY+STATE+SOLUTIONS Search POSITIVE+STEADY+STATE+SOLUTIONS
8 REACTION DIFFUSION ADVECTION 232427 1% 51% 18 Search REACTION+DIFFUSION+ADVECTION Search REACTION+DIFFUSION+ADVECTION
9 REACTION DIFFUSION SYSTEMS 217339 7% 10% 91 Search REACTION+DIFFUSION+SYSTEMS Search REACTION+DIFFUSION+SYSTEMS
10 EVOLUTION OF DISPERSAL 180768 1% 40% 18 Search EVOLUTION+OF+DISPERSAL Search EVOLUTION+OF+DISPERSAL

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 LI, HX , LI, YL , YANG, WB , (2016) EXISTENCE AND ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A ONE-PREY AND TWO-COMPETING-PREDATORS SYSTEM WITH DIFFUSION.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 27. ISSUE . P. 261 -282 38 93% 1
2 JUN, Z , KIM, CG , (2014) POSITIVE SOLUTIONS FOR A LOTKA-VOLTERRA PREY-PREDATOR MODEL WITH CROSS-DIFFUSION OF FRACTIONAL TYPE.RESULTS IN MATHEMATICS. VOL. 65. ISSUE 3-4. P. 293 -320 38 95% 0
3 ZHANG, GH , WANG, WD , WANG, XL , (2012) COEXISTENCE STATES FOR A DIFFUSIVE ONE-PREY AND TWO-PREDATORS MODEL WITH B-D FUNCTIONAL RESPONSE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 387. ISSUE 2. P. 931-948 35 95% 7
4 KUTO, K , TSUJIKAWA, T , (2015) LIMITING STRUCTURE OF STEADY-STATES TO THE LOTKA-VOLTERRA COMPETITION MODEL WITH LARGE DIFFUSION AND ADVECTION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 258. ISSUE 5. P. 1801 -1858 32 89% 3
5 ZHOU, J , KIM, CG , (2014) POSITIVE SOLUTIONS FOR A LOTKA-VOLTERRA PREY-PREDATOR MODEL WITH CROSS-DIFFUSION AND HOLLING TYPE-II FUNCTIONAL RESPONSE.SCIENCE CHINA-MATHEMATICS. VOL. 57. ISSUE 5. P. 991 -1010 30 97% 1
6 WANG, YX , LI, WT , (2013) EFFECT OF CROSS-DIFFUSION ON THE STATIONARY PROBLEM OF A DIFFUSIVE COMPETITION MODEL WITH A PROTECTION ZONE.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 14. ISSUE 1. P. 224 -245 30 94% 10
7 LI, WT , WANG, YX , ZHANG, JF , (2012) STABILITY OF POSITIVE STATIONARY SOLUTIONS TO A SPATIALLY HETEROGENEOUS COOPERATIVE SYSTEM WITH CROSS-DIFFUSION.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 28 100% 0
8 (2017) INTRODUCTION: THE ROLE OF ADVECTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 245. ISSUE 1161. P. 1 -+ 41 56% 0
9 WEN, ZJ , QI, Y , (2015) NON-CONSTANT POSITIVE STEADY STATES FOR A STRONGLY COUPLED NONLINEAR REACTION-DIFFUSION SYSTEM ARISING IN POPULATION DYNAMICS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 45. ISSUE 4. P. 1333 -1355 24 100% 0
10 WANG, YX , LI, WT , (2013) EFFECTS OF CROSS-DIFFUSION AND HETEROGENEOUS ENVIRONMENT ON POSITIVE STEADY STATES OF A PREY-PREDATOR SYSTEM.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 14. ISSUE 2. P. 1235-1246 28 82% 8

Classes with closest relation at Level 1


Rank Class id link
1 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING
2 834 POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM
3 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
4 3912 TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL
5 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
6 16026 NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM
7 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
8 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
9 8973 KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS
10 20532 ALLEE EFFECT//GRP ECOL MATEMAT//COMPONENT ALLEE EFFECT

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