Class information for:
Level 3: MATHEMATICS, APPLIED//GLOBAL STABILITY//PERMANENCE

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
1723 2             OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION 6920
1749 2             LOGISTIC SOURCE//CHEMOTAXIS//KELLER SEGEL MODEL 6807
2609 2             EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION 3849
2849 2             JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS//NONMEM//VIRUS DYNAMICS 3193
3598 2             DIFFERENCE EQUATIONS//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS//SYSTEM OF DIFFERENCE EQUATIONS 1384
4073 2             ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP 719

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICS, APPLIED WoSSC 538273 50% 4% 17058
2 GLOBAL STABILITY authKW 535004 3% 63% 933
3 PERMANENCE authKW 492249 2% 85% 637
4 HOPF BIFURCATION authKW 408356 3% 44% 1026
5 GLOBAL ATTRACTIVITY authKW 301673 1% 87% 381
6 DIFFERENCE EQUATIONS authKW 296314 2% 45% 726
7 MATH address 285450 35% 3% 11891
8 OSCILLATION authKW 282725 4% 23% 1341
9 PERIODIC SOLUTION authKW 272512 3% 30% 997
10 PREDATOR PREY SYSTEM authKW 230917 1% 79% 321

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 538273 50% 4% 17058
2 Mathematical & Computational Biology 195640 14% 5% 4861
3 Mathematics 166957 31% 2% 10625
4 Biology 49505 11% 2% 3874
5 Mathematics, Interdisciplinary Applications 25799 7% 1% 2287
6 Physics, Mathematical 8192 5% 1% 1713
7 Statistics & Probability 3136 3% 1% 988
8 Computer Science, Interdisciplinary Applications 1870 3% 0% 917
9 Mechanics 1809 4% 0% 1238
10 Computer Science, Software Engineering 1372 2% 0% 674

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 285450 35% 3% 11891
2 MATH STAT 91345 8% 4% 2781
3 PL MATH 79091 6% 5% 1916
4 MATH SCI 45130 6% 3% 2146
5 MATH INFORMAT SCI 40760 2% 7% 630
6 AGR ECOL UNIT 30759 0% 43% 78
7 GUIZHOU ECON SYST SIMULAT 28470 0% 49% 64
8 MATH COMP SCI 25993 3% 3% 1073
9 MATH ECONOMETR 23021 0% 16% 156
10 MATH BIOL ECOL 22475 0% 79% 31

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF MATHEMATICAL BIOLOGY 210579 2% 31% 743
2 MATHEMATICAL BIOSCIENCES 185505 2% 25% 803
3 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 176870 2% 35% 562
4 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 167776 1% 55% 336
5 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 164999 2% 27% 677
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 151597 6% 9% 1902
7 MATHEMATICAL BIOSCIENCES AND ENGINEERING 135456 1% 43% 344
8 ADVANCES IN DIFFERENCE EQUATIONS 124301 2% 24% 570
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 123585 1% 28% 495
10 APPLIED MATHEMATICS AND COMPUTATION 102079 4% 8% 1422

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GLOBAL STABILITY 535004 3% 63% 933 Search GLOBAL+STABILITY Search GLOBAL+STABILITY
2 PERMANENCE 492249 2% 85% 637 Search PERMANENCE Search PERMANENCE
3 HOPF BIFURCATION 408356 3% 44% 1026 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
4 GLOBAL ATTRACTIVITY 301673 1% 87% 381 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
5 DIFFERENCE EQUATIONS 296314 2% 45% 726 Search DIFFERENCE+EQUATIONS Search DIFFERENCE+EQUATIONS
6 OSCILLATION 282725 4% 23% 1341 Search OSCILLATION Search OSCILLATION
7 PERIODIC SOLUTION 272512 3% 30% 997 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
8 PREDATOR PREY SYSTEM 230917 1% 79% 321 Search PREDATOR+PREY+SYSTEM Search PREDATOR+PREY+SYSTEM
9 PREDATOR PREY MODEL 206462 1% 74% 308 Search PREDATOR+PREY+MODEL Search PREDATOR+PREY+MODEL
10 EPIDEMIC MODEL 192693 1% 56% 377 Search EPIDEMIC+MODEL Search EPIDEMIC+MODEL

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 3



rank cluster_id2 link
1 474 ADAPTIVE DYNAMICS//ECOLOGY//EXPERIMENTAL EVOLUTION
2 199 MATHEMATICS, APPLIED//FIXED POINT//MATHEMATICS
3 167 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//PHYSICS, MATHEMATICAL
4 72 MATHEMATICS//MATHEMATICS, APPLIED//MATH
5 550 FRACTIONAL BROWNIAN MOTION//MALLIAVIN CALCULUS//STOCHASTIC DIFFERENTIAL EQUATIONS
6 399 COMPLEX NETWORKS//PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS//ECONOPHYSICS
7 587 PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS
8 393 METABOLOMICS//METABONOMICS//ATP SYNTHASE
9 274 INFLUENZA//RESPIRATORY SYNCYTIAL VIRUS//AVIAN INFLUENZA
10 415 STOCHASTIC RESONANCE//PHYSICAL REVIEW E//PHYSICS, MATHEMATICAL

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