Class information for:
Level 2: PERMANENCE//HOPF BIFURCATION//PREDATOR PREY SYSTEM

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
376 3       MATHEMATICS, APPLIED//GLOBAL STABILITY//PERMANENCE 34459
887 2             PERMANENCE//HOPF BIFURCATION//PREDATOR PREY SYSTEM 11587
1052 1                   PREDATOR PREY SYSTEM//PREDATOR PREY MODEL//STAGE STRUCTURE 2912
2916 1                   POSITIVE PERIODIC SOLUTION//PERMANENCE//GLOBAL ATTRACTIVITY 2144
3830 1                   TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL 1937
8081 1                   STATE DEPENDENT DELAY//HOPF BIFURCATION//DELAY DIFFERENTIAL EQUATIONS 1318
9271 1                   CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM 1202
11981 1                   CHEMOSTAT//CHEMOSTAT MODEL//VARIABLE YIELD 968
14860 1                   CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION 771
26775 1                   PROPAGATION FAILURE//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS//SPATIALLY DISCRETE 266
38135 1                   IMPULSIVE SEMIDYNAMICAL SYSTEMS//ZHUKOVSKIJ STABILITY//IMPULSIVE DYNAMICAL SYSTEM 69

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PERMANENCE authKW 910518 4% 67% 502
2 HOPF BIFURCATION authKW 707464 7% 33% 782
3 PREDATOR PREY SYSTEM authKW 658307 3% 77% 314
4 PREDATOR PREY MODEL authKW 545379 3% 69% 290
5 POSITIVE PERIODIC SOLUTION authKW 462201 2% 70% 244
6 GLOBAL ATTRACTIVITY authKW 415118 2% 59% 259
7 PERIODIC SOLUTION authKW 388499 6% 21% 689
8 STAGE STRUCTURE authKW 351159 2% 61% 213
9 CROSS DIFFUSION authKW 275426 1% 65% 155
10 MATHEMATICS, APPLIED WoSSC 244365 57% 1% 6637

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 244365 57% 1% 6637
2 Mathematics 68416 34% 1% 3923
3 Mathematical & Computational Biology 43073 11% 1% 1330
4 Mathematics, Interdisciplinary Applications 24022 11% 1% 1241
5 Biology 11078 9% 0% 1079
6 Physics, Mathematical 7838 8% 0% 912
7 Mechanics 2687 6% 0% 729
8 Ecology 1273 5% 0% 565
9 Physics, Multidisciplinary 761 5% 0% 633
10 Engineering, General 485 2% 0% 244

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 112120 37% 1% 4309
2 AGR ECOL UNIT 71808 1% 38% 69
3 GUIZHOU ECON SYST SIMULAT 65003 0% 43% 56
4 MATH STAT 61016 11% 2% 1307
5 MATH ECONOMETR 47189 1% 14% 129
6 MATH INFORMAT SCI 44461 3% 4% 379
7 PL MATH 43520 7% 2% 820
8 DIPARTIMENTO MATEMAT GIUSEPPE PEANO 33031 0% 36% 34
9 UR BIOSTAT PROC SPATIAUX 546 30716 0% 54% 21
10 ZHEJIANG PROV WATER ENVIRONM MARINE BIO 30200 0% 65% 17

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 223532 4% 18% 456
2 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 140235 2% 29% 178
3 JOURNAL OF MATHEMATICAL BIOLOGY 91574 2% 12% 284
4 JOURNAL OF DIFFERENTIAL EQUATIONS 78616 4% 6% 465
5 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 66259 2% 12% 210
6 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 52472 1% 20% 96
7 APPLIED MATHEMATICS AND COMPUTATION 49342 5% 3% 572
8 MATHEMATICAL BIOSCIENCES 49228 2% 8% 240
9 DISCRETE DYNAMICS IN NATURE AND SOCIETY 47957 2% 9% 200
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 45704 5% 3% 606

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 PERMANENCE 910518 4% 67% 502 Search PERMANENCE Search PERMANENCE
2 HOPF BIFURCATION 707464 7% 33% 782 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
3 PREDATOR PREY SYSTEM 658307 3% 77% 314 Search PREDATOR+PREY+SYSTEM Search PREDATOR+PREY+SYSTEM
4 PREDATOR PREY MODEL 545379 3% 69% 290 Search PREDATOR+PREY+MODEL Search PREDATOR+PREY+MODEL
5 POSITIVE PERIODIC SOLUTION 462201 2% 70% 244 Search POSITIVE+PERIODIC+SOLUTION Search POSITIVE+PERIODIC+SOLUTION
6 GLOBAL ATTRACTIVITY 415118 2% 59% 259 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
7 PERIODIC SOLUTION 388499 6% 21% 689 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
8 STAGE STRUCTURE 351159 2% 61% 213 Search STAGE+STRUCTURE Search STAGE+STRUCTURE
9 CROSS DIFFUSION 275426 1% 65% 155 Search CROSS+DIFFUSION Search CROSS+DIFFUSION
10 COINCIDENCE DEGREE 244021 2% 52% 174 Search COINCIDENCE+DEGREE Search COINCIDENCE+DEGREE

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 2609 EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION
2 3598 DIFFERENCE EQUATIONS//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS//SYSTEM OF DIFFERENCE EQUATIONS
3 1749 LOGISTIC SOURCE//CHEMOTAXIS//KELLER SEGEL MODEL
4 757 ADAPTIVE DYNAMICS//EVOLUTIONARY GAME THEORY//EVOLUTION OF COOPERATION
5 1448 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//TIME VARYING DELAY
6 1723 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
7 1214 SPIRAL WAVE//BELOUSOV ZHABOTINSKY REACTION//EXCITABLE MEDIA
8 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
9 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
10 771 POSITIVE SOLUTION//FIXED POINT THEOREM//FRACTIONAL DIFFERENTIAL EQUATIONS

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