Class information for:
Level 1: POSITIVE PERIODIC SOLUTION//PERMANENCE//GLOBAL ATTRACTIVITY

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
2916 1                   POSITIVE PERIODIC SOLUTION//PERMANENCE//GLOBAL ATTRACTIVITY 2144

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POSITIVE PERIODIC SOLUTION authKW 1499927 9% 54% 189
2 PERMANENCE authKW 1153814 11% 32% 243
3 GLOBAL ATTRACTIVITY authKW 967397 8% 39% 170
4 NICHOLSONS BLOWFLIES MODEL authKW 605436 2% 94% 44
5 ALMOST PERIODIC SOLUTION authKW 564656 6% 32% 121
6 LOTKA VOLTERRA SYSTEM authKW 432061 3% 47% 63
7 STOCHASTIC PERMANENCE authKW 400855 1% 91% 30
8 COINCIDENCE DEGREE authKW 345343 4% 26% 89
9 POSITIVE ALMOST PERIODIC SOLUTION authKW 250641 1% 95% 18
10 FEEDBACK CONTROLS authKW 206472 1% 59% 24

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 71676 72% 0% 1538
2 Mathematics 14139 36% 0% 765
3 Mathematical & Computational Biology 6265 10% 0% 219
4 Mathematics, Interdisciplinary Applications 3870 10% 0% 215
5 Biology 1294 8% 0% 162
6 Mechanics 364 6% 0% 119
7 Physics, Mathematical 262 4% 0% 81
8 Computer Science, Software Engineering 251 3% 0% 64
9 Engineering, General 173 3% 0% 58
10 Computer Science, Interdisciplinary Applications 158 3% 0% 64

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GUIZHOU ECON SYST SIMULAT 44846 1% 15% 20
2 MATH OR SECT 33593 0% 57% 4
3 MINIST SCI TRAINING 33069 0% 75% 3
4 MATH 29418 44% 0% 944
5 CHINA MATH 29396 0% 100% 2
6 MATH PHYS INFORMAT ENGN 27945 2% 5% 36
7 FURONG 19596 0% 67% 2
8 SUNSHINE 19332 0% 26% 5
9 KLVE 18894 0% 43% 3
10 GUANGXI UNIV COMPLEX SYST OPTIMIZAT BIG 18888 0% 21% 6

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 90897 6% 5% 125
2 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 59852 2% 8% 50
3 ADVANCES IN DIFFERENCE EQUATIONS 45722 4% 4% 86
4 DISCRETE DYNAMICS IN NATURE AND SOCIETY 36601 3% 3% 75
5 APPLIED MATHEMATICS AND COMPUTATION 34293 10% 1% 204
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 20316 8% 1% 173
7 JOURNAL OF MATHEMATICAL BIOLOGY 17895 3% 2% 54
8 ABSTRACT AND APPLIED ANALYSIS 13165 3% 1% 63
9 MATHEMATICAL BIOSCIENCES 11100 2% 2% 49
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 10528 4% 1% 94

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POSITIVE PERIODIC SOLUTION 1499927 9% 54% 189 Search POSITIVE+PERIODIC+SOLUTION Search POSITIVE+PERIODIC+SOLUTION
2 PERMANENCE 1153814 11% 32% 243 Search PERMANENCE Search PERMANENCE
3 GLOBAL ATTRACTIVITY 967397 8% 39% 170 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
4 NICHOLSONS BLOWFLIES MODEL 605436 2% 94% 44 Search NICHOLSONS+BLOWFLIES+MODEL Search NICHOLSONS+BLOWFLIES+MODEL
5 ALMOST PERIODIC SOLUTION 564656 6% 32% 121 Search ALMOST+PERIODIC+SOLUTION Search ALMOST+PERIODIC+SOLUTION
6 LOTKA VOLTERRA SYSTEM 432061 3% 47% 63 Search LOTKA+VOLTERRA+SYSTEM Search LOTKA+VOLTERRA+SYSTEM
7 STOCHASTIC PERMANENCE 400855 1% 91% 30 Search STOCHASTIC+PERMANENCE Search STOCHASTIC+PERMANENCE
8 COINCIDENCE DEGREE 345343 4% 26% 89 Search COINCIDENCE+DEGREE Search COINCIDENCE+DEGREE
9 POSITIVE ALMOST PERIODIC SOLUTION 250641 1% 95% 18 Search POSITIVE+ALMOST+PERIODIC+SOLUTION Search POSITIVE+ALMOST+PERIODIC+SOLUTION
10 FEEDBACK CONTROLS 206472 1% 59% 24 Search FEEDBACK+CONTROLS Search FEEDBACK+CONTROLS

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 1



rank cluster_id2 link
1 1052 PREDATOR PREY SYSTEM//PREDATOR PREY MODEL//STAGE STRUCTURE
2 34674 TOXIN DETERMINED FUNCTIONAL RESPONSE//CLOUD DENSITY//EXTENDED BEDDINGTON DEANGELIS FUNCTIONAL RESPONSE
3 14860 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
4 11981 CHEMOSTAT//CHEMOSTAT MODEL//VARIABLE YIELD
5 33358 FELLER CONTINUITY//REGIME SWITCHING DIFFUSIONS//STRONG FELLER CONTINUITY
6 11519 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
7 9070 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
8 14466 RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
9 1705 EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION
10 7512 DIFFERENCE EQUATIONS//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS//SYSTEM OF DIFFERENCE EQUATIONS

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