Class information for:
Level 3: PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
355 34946 28.5 54%


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
560 2             PERMANENCE//GLOBAL STABILITY//PREDATOR PREY SYSTEM 14490
1877 2             CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED 6010
2260 2             ACTIVE PARTICLES//BRANCHING PROCESS//TUMOR GROWTH 4674
2400 2             CHEMICAL OSCILLATIONS//NONLINEAR PHYS CHEM UNIT//OSCILLATING CHEMICAL REACTION 4217
2519 2             REVERSE FLOW REACTOR//CHEMICAL ENGINEERING SCIENCE//KINETIC OSCILLATIONS 3825
3627 2             PIGMENT PATTERN//GROWING DOMAIN//XANTHOPHORE 1223
4183 2             STRAY VOLTAGE//MILKLINES//MILKING MACHINES 507

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 PERMANENCE authKW 434875 2% 83% 604
2 GLOBAL STABILITY authKW 294472 2% 49% 687
3 HOPF BIFURCATION authKW 258165 2% 37% 808
4 PREDATOR PREY MODEL authKW 230406 1% 82% 324
5 JOURNAL OF MATHEMATICAL BIOLOGY journal 229160 2% 34% 782
6 PREDATOR PREY SYSTEM authKW 227437 1% 82% 317
7 MATHEMATICAL & COMPUTATIONAL BIOLOGY WoSSC 187418 14% 5% 4764
8 MATHEMATICS, APPLIED WoSSC 175002 29% 2% 10013
9 GLOBAL ATTRACTIVITY authKW 165647 1% 67% 285
10 STAGE STRUCTURE authKW 162852 1% 74% 251

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 Mathematical & Computational Biology 187418 14% 5% 4764
2 Mathematics, Applied 175002 29% 2% 10013
3 Biology 63509 13% 2% 4392
4 Mathematics 29826 14% 1% 4863
5 Mathematics, Interdisciplinary Applications 17370 5% 1% 1918
6 Physics, Mathematical 16678 7% 1% 2354
7 Ecology 16412 9% 1% 3041
8 Evolutionary Biology 9787 4% 1% 1356
9 Engineering, Chemical 3515 6% 0% 1967
10 Physics, Fluids & Plasmas 2983 3% 1% 981

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 MATH 107690 21% 2% 7481
2 MATH STAT 52376 6% 3% 2101
3 PL MATH 38338 4% 3% 1347
4 AGR ECOL UNIT 29946 0% 47% 74
5 MATH BIOL 27341 0% 19% 171
6 MATH SCI 22851 4% 2% 1545
7 MATH INFORMAT SCI 22067 1% 6% 461
8 INTERDISCIPLINARY PROGRAM PL MATH 16013 0% 74% 25
9 NONLINEAR PHYS CHEM UNIT 15722 0% 41% 44
10 EVOLUT ECOL PROGRAM 15299 0% 28% 64

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 JOURNAL OF MATHEMATICAL BIOLOGY 229160 2% 34% 782
2 MATHEMATICAL BIOSCIENCES 158189 2% 24% 750
3 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 122419 2% 24% 590
4 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 107117 1% 47% 261
5 MATHEMATICAL BIOSCIENCES AND ENGINEERING 102451 1% 40% 297
6 BULLETIN OF MATHEMATICAL BIOLOGY 90503 1% 21% 508
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 78446 1% 23% 394
8 THEORETICAL POPULATION BIOLOGY 71375 1% 21% 390
9 JOURNAL OF THEORETICAL BIOLOGY 63149 3% 8% 893
10 JOURNAL OF BIOLOGICAL SYSTEMS 56216 1% 33% 194

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 PERMANENCE 434875 2% 83% 604 Search PERMANENCE Search PERMANENCE
2 GLOBAL STABILITY 294472 2% 49% 687 Search GLOBAL+STABILITY Search GLOBAL+STABILITY
3 HOPF BIFURCATION 258165 2% 37% 808 Search HOPF+BIFURCATION Search HOPF+BIFURCATION
4 PREDATOR PREY MODEL 230406 1% 82% 324 Search PREDATOR+PREY+MODEL Search PREDATOR+PREY+MODEL
5 PREDATOR PREY SYSTEM 227437 1% 82% 317 Search PREDATOR+PREY+SYSTEM Search PREDATOR+PREY+SYSTEM
6 GLOBAL ATTRACTIVITY 165647 1% 67% 285 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
7 STAGE STRUCTURE 162852 1% 74% 251 Search STAGE+STRUCTURE Search STAGE+STRUCTURE
8 EPIDEMIC MODEL 159259 1% 54% 342 Search EPIDEMIC+MODEL Search EPIDEMIC+MODEL
9 POSITIVE PERIODIC SOLUTION 152971 1% 72% 244 Search POSITIVE+PERIODIC+SOLUTION Search POSITIVE+PERIODIC+SOLUTION
10 PERIODIC SOLUTION 120094 2% 21% 666 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION

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 LOWENGRUB, JS , FRIEBOES, HB , JIN, F , CHUANG, YL , LI, X , MACKLIN, P , WISE, SM , CRISTINI, V , (2010) NONLINEAR MODELLING OF CANCER: BRIDGING THE GAP BETWEEN CELLS AND TUMOURS.NONLINEARITY. VOL. 23. ISSUE 1. P. R1 -R91 276 62% 130
2 IMBIHL, R , ERTL, G , (1995) OSCILLATORY KINETICS IN HETEROGENEOUS CATALYSIS.CHEMICAL REVIEWS. VOL. 95. ISSUE 3. P. 697-733 199 81% 701
3 VENTURINO, E , (2016) ECOEPIDEMIOLOGY: A MORE COMPREHENSIVE VIEW OF POPULATION INTERACTIONS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 11. ISSUE 1. P. 49 -90 104 93% 5
4 YUAN, L , LIU, Y , YANG, T , LIU, HM , GAO, QY , (2014) OSCILLATIONS AND PATTERN FORMATION IN SULFUR-CONTAINED REACTION SYSTEMS.PROGRESS IN CHEMISTRY. VOL. 26. ISSUE 4. P. 529 -544 134 90% 0
5 SCHUTH, F , HENRY, BE , SCHMIDT, LD , (1993) OSCILLATORY REACTIONS IN HETEROGENEOUS CATALYSIS.ADVANCES IN CATALYSIS, VOL 39. VOL. 39. ISSUE . P. 51-127 180 89% 216
6 PUJO-MENJOUET, L , (2016) BLOOD CELL DYNAMICS: HALF OF A CENTURY OF MODELLING.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 11. ISSUE 1. P. 92 -115 148 72% 0
7 SUN, GQ , (2016) MATHEMATICAL MODELING OF POPULATION DYNAMICS WITH ALLEE EFFECT.NONLINEAR DYNAMICS. VOL. 85. ISSUE 1. P. 1 -12 63 77% 13
8 SCIANNA, M , BELL, CG , PREZIOSI, L , (2013) A REVIEW OF MATHEMATICAL MODELS FOR THE FORMATION OF VASCULAR NETWORKS.JOURNAL OF THEORETICAL BIOLOGY. VOL. 333. ISSUE . P. 174 -209 137 55% 33
9 BELLOMO, N , LI, NK , MAINI, PK , (2008) ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES. VOL. 18. ISSUE 4. P. 593 -646 99 68% 164
10 TAYLOR, AF , (2002) MECHANISM AND PHENOMENOLOGY OF AN OSCILLATING CHEMICAL REACTION.PROGRESS IN REACTION KINETICS AND MECHANISM. VOL. 27. ISSUE 4. P. 247-325 151 59% 79

Classes with closest relation at Level 3


Rank Class id link
1 669 EXPERIMENTAL EVOLUTION//EVOLUTIONARY BIOLOGY//EVOLUTION
2 460 POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS
3 197 CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL
4 244 MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP
5 484 SPATIAL SOLITONS//DISCRETE BREATHERS//PHYSICS, MATHEMATICAL
6 319 SURFACE SCIENCE//LOW INDEX SINGLE CRYSTAL SURFACES//CHEMISTRY, PHYSICAL
7 485 LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED
8 445 COMPLEX NETWORKS//PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS//ECONOPHYSICS
9 579 BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS
10 15 ECOLOGY//FORESTRY//BIODIVERSITY CONSERVATION

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