Class information for:
Level 1: SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25451 281 21.7 57%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
176 2             MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED 22137
25451 1                   SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING 281

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 SPREADING VANISHING DICHOTOMY authKW 1853047 6% 95% 18
2 GLOBAL FAST SOLUTION authKW 869331 3% 100% 8
3 SPREADING AND VANISHING authKW 869331 3% 100% 8
4 GLOBAL SLOW SOLUTION authKW 760665 2% 100% 7
5 FREE BOUNDARY authKW 628028 22% 9% 62
6 DIFFUSIVE LOGISTIC EQUATION authKW 517755 3% 53% 9
7 INVASIVE POPULATION authKW 484054 2% 64% 7
8 NODAL DOMAINS authKW 391182 4% 30% 12
9 COMPETITION DIFFUSION SYSTEM authKW 347723 3% 40% 8
10 OPTIMAL REGULARITY OF LIMITING PROFILES authKW 325999 1% 100% 3

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 9541 72% 0% 203
2 Mathematics 5316 59% 0% 166
3 Physics, Mathematical 79 5% 0% 15
4 Mechanics 30 5% 0% 13
5 Mathematical & Computational Biology 28 2% 0% 6
6 Mathematics, Interdisciplinary Applications 15 2% 0% 6
7 Physics, Fluids & Plasmas 3 1% 0% 4
8 Computer Science, Cybernetics 2 0% 0% 1
9 Biology 2 1% 0% 4
10 Automation & Control Systems 1 1% 0% 2

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 ADV STUDIES MATH SCITAMA KU 108666 0% 100% 1
2 DM2S SFME MTMS 108666 0% 100% 1
3 ENS CACHAN BRETAGNECNRS 108666 0% 100% 1
4 ENS RENNESIRMAR 108666 0% 100% 1
5 MATH ANALYSE NUMER 108666 0% 100% 1
6 MATH GUISEPPE PEANO 108666 0% 100% 1
7 DIPARTIMENTO MATEMAT GIUSEPPE PEANO 66545 2% 9% 7
8 THEORET MECH SECT 61120 1% 19% 3
9 BIOL WAVE 54332 0% 50% 1
10 MATH ANAL NUMER 54332 0% 50% 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 16217 6% 1% 16
2 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 9905 5% 1% 15
3 JOURNAL OF DIFFERENTIAL EQUATIONS 5433 7% 0% 19
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 4353 3% 1% 8
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 3930 4% 0% 11
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 3588 7% 0% 20
7 INTERFACES AND FREE BOUNDARIES 3003 1% 1% 3
8 JOURNAL OF SPECTRAL THEORY 2856 1% 1% 2
9 EUROPEAN JOURNAL OF APPLIED MATHEMATICS 2667 1% 1% 4
10 JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 2549 1% 1% 4

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 SPREADING VANISHING DICHOTOMY 1853047 6% 95% 18 Search SPREADING+VANISHING+DICHOTOMY Search SPREADING+VANISHING+DICHOTOMY
2 GLOBAL FAST SOLUTION 869331 3% 100% 8 Search GLOBAL+FAST+SOLUTION Search GLOBAL+FAST+SOLUTION
3 SPREADING AND VANISHING 869331 3% 100% 8 Search SPREADING+AND+VANISHING Search SPREADING+AND+VANISHING
4 GLOBAL SLOW SOLUTION 760665 2% 100% 7 Search GLOBAL+SLOW+SOLUTION Search GLOBAL+SLOW+SOLUTION
5 FREE BOUNDARY 628028 22% 9% 62 Search FREE+BOUNDARY Search FREE+BOUNDARY
6 DIFFUSIVE LOGISTIC EQUATION 517755 3% 53% 9 Search DIFFUSIVE+LOGISTIC+EQUATION Search DIFFUSIVE+LOGISTIC+EQUATION
7 INVASIVE POPULATION 484054 2% 64% 7 Search INVASIVE+POPULATION Search INVASIVE+POPULATION
8 NODAL DOMAINS 391182 4% 30% 12 Search NODAL+DOMAINS Search NODAL+DOMAINS
9 COMPETITION DIFFUSION SYSTEM 347723 3% 40% 8 Search COMPETITION+DIFFUSION+SYSTEM Search COMPETITION+DIFFUSION+SYSTEM
10 OPTIMAL REGULARITY OF LIMITING PROFILES 325999 1% 100% 3 Search OPTIMAL+REGULARITY+OF+LIMITING+PROFILES Search OPTIMAL+REGULARITY+OF+LIMITING+PROFILES

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 MONOBE, H , WU, CH , (2016) ON A FREE BOUNDARY PROBLEM FOR A REACTION-DIFFUSION-ADVECTION LOGISTIC MODEL IN HETEROGENEOUS ENVIRONMENT.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 11. P. 6144 -6177 34 89% 0
2 ZHOU, L , ZHANG, S , LIU, ZH , (2016) A REACTION-DIFFUSION-ADVECTION EQUATION WITH A FREE BOUNDARY AND SIGN-CHANGING COEFFICIENT.ACTA APPLICANDAE MATHEMATICAE. VOL. 143. ISSUE 1. P. 189 -216 29 88% 2
3 WANG, MX , ZHANG, Y , (2016) THE TIME-PERIODIC DIFFUSIVE COMPETITION MODELS WITH A FREE BOUNDARY AND SIGN-CHANGING GROWTH RATES.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. VOL. 67. ISSUE 5. P. - 34 85% 0
4 WANG, MX , SHENG, WJ , ZHANG, Y , (2016) SPREADING AND VANISHING IN A DIFFUSIVE PREY-PREDATOR MODEL WITH VARIABLE INTRINSIC GROWTH RATE AND FREE BOUNDARY.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 309 -329 25 89% 0
5 CHEN, QL , LI, FQ , WANG, F , (2016) THE DIFFUSIVE COMPETITION PROBLEM WITH A FREE BOUNDARY IN HETEROGENEOUS TIME-PERIODIC ENVIRONMENT.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 433. ISSUE 2. P. 1594 -1613 26 72% 2
6 WU, CH , (2015) THE MINIMAL HABITAT SIZE FOR SPREADING IN A WEAK COMPETITION SYSTEM WITH TWO FREE BOUNDARIES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 3. P. 873 -897 20 100% 5
7 CAO, JF , LI, WT , YANG, FY , (2017) DYNAMICS OF A NONLOCAL SIS EPIDEMIC MODEL WITH FREE BOUNDARY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 22. ISSUE 2. P. 247 -266 26 76% 0
8 WANG, MX , ZHANG, Y , (2015) TWO KINDS OF FREE BOUNDARY PROBLEMS FOR THE DIFFUSIVE PREY-PREDATOR MODEL.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 24. ISSUE . P. 73 -82 19 100% 1
9 CHEN, QL , LI, FQ , WANG, F , (2016) A DIFFUSIVE LOGISTIC PROBLEM WITH A FREE BOUNDARY IN TIME-PERIODIC ENVIRONMENT: FAVORABLE HABITAT OR UNFAVORABLE HABITAT.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 21. ISSUE 1. P. 13 -35 20 91% 0
10 ZHAO, YG , WANG, MX , (2016) ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A NONLINEAR STEFAN PROBLEM WITH DIFFERENT MOVING PARAMETERS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 31. ISSUE . P. 166 -178 20 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
2 18570 UNIQUE CONTINUATION//STRONG UNIQUE CONTINUATION//SIZE ESTIMATES
3 19740 ISOSPECTRALITY//LAPLACE SPECTRUM//ISOSPECTRAL
4 3912 TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL
5 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
6 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
7 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
8 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
9 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
10 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN

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