Class information for:
Level 1: STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14292 779 22.5 52%


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
14292 1                   STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS 779

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 STOCHASTIC PERMANENCE authKW 740530 3% 82% 23
2 STOCHASTICALLY ULTIMATE BOUNDEDNESS authKW 395232 1% 92% 11
3 MOMENT BOUNDEDNESS authKW 352765 2% 75% 12
4 PERSISTENCE IN MEAN authKW 338767 1% 79% 11
5 ITOS FORMULA authKW 293167 5% 20% 37
6 PERSISTENT IN MEAN authKW 288627 1% 82% 9
7 KOLMOGOROV TYPE SYSTEM authKW 274377 1% 100% 7
8 STOCHASTIC PERTURBATIONS authKW 265714 3% 34% 20
9 LEVY NOISE authKW 263382 3% 27% 25
10 PATHWISE ESTIMATION authKW 250856 1% 80% 8

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 14882 55% 0% 425
2 Mathematics 3526 30% 0% 232
3 Mathematical & Computational Biology 2214 10% 0% 78
4 Mathematics, Interdisciplinary Applications 1729 11% 0% 86
5 Statistics & Probability 1271 10% 0% 80
6 Automation & Control Systems 920 7% 0% 58
7 Biology 526 8% 0% 62
8 Mechanics 273 7% 0% 58
9 Engineering, General 229 5% 0% 36
10 Physics, Mathematical 177 5% 0% 38

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 FO T TOURISM 78393 0% 100% 2
2 GUANGXI UNIV COMPLEX SYST OPTIMIZAT BIG 58786 1% 25% 6
3 STAT MODELLING SCI 57595 3% 6% 25
4 BIT BIIFR D 39197 0% 100% 1
5 CIENCIAS BRISICAS 39197 0% 100% 1
6 DIPARTIMENTO ECUACIONES DIFERENCIALES ANAL NUME 39197 0% 100% 1
7 ECUAC DIFERENCIALS ANAL NUMER 39197 0% 100% 1
8 MEASURING OPTOELECT ENGN 39197 0% 100% 1
9 MYKOLA PRATSLOVYTYL 39197 0% 100% 1
10 PLURIDISCIPLINAIRE RECH PL 39197 0% 100% 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 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 10183 2% 2% 12
2 ADVANCES IN DIFFERENCE EQUATIONS 9689 3% 1% 23
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7109 8% 0% 62
4 JOURNAL OF BIOLOGICAL SYSTEMS 6727 1% 2% 10
5 ABSTRACT AND APPLIED ANALYSIS 5095 3% 1% 24
6 APPLIED MATHEMATICS AND COMPUTATION 4684 6% 0% 46
7 JOURNAL OF MATHEMATICAL BIOLOGY 4301 2% 1% 16
8 NATURAL RESOURCE MODELING 4232 1% 2% 5
9 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 4046 2% 1% 16
10 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 3789 2% 1% 19

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 STOCHASTIC PERMANENCE 740530 3% 82% 23 Search STOCHASTIC+PERMANENCE Search STOCHASTIC+PERMANENCE
2 STOCHASTICALLY ULTIMATE BOUNDEDNESS 395232 1% 92% 11 Search STOCHASTICALLY+ULTIMATE+BOUNDEDNESS Search STOCHASTICALLY+ULTIMATE+BOUNDEDNESS
3 MOMENT BOUNDEDNESS 352765 2% 75% 12 Search MOMENT+BOUNDEDNESS Search MOMENT+BOUNDEDNESS
4 PERSISTENCE IN MEAN 338767 1% 79% 11 Search PERSISTENCE+IN+MEAN Search PERSISTENCE+IN+MEAN
5 ITOS FORMULA 293167 5% 20% 37 Search ITOS+FORMULA Search ITOS+FORMULA
6 PERSISTENT IN MEAN 288627 1% 82% 9 Search PERSISTENT+IN+MEAN Search PERSISTENT+IN+MEAN
7 KOLMOGOROV TYPE SYSTEM 274377 1% 100% 7 Search KOLMOGOROV+TYPE+SYSTEM Search KOLMOGOROV+TYPE+SYSTEM
8 STOCHASTIC PERTURBATIONS 265714 3% 34% 20 Search STOCHASTIC+PERTURBATIONS Search STOCHASTIC+PERTURBATIONS
9 LEVY NOISE 263382 3% 27% 25 Search LEVY+NOISE Search LEVY+NOISE
10 PATHWISE ESTIMATION 250856 1% 80% 8 Search PATHWISE+ESTIMATION Search PATHWISE+ESTIMATION

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 LIU, Q , CHEN, QM , (2015) DYNAMICS OF STOCHASTIC DELAY LOTKA-VOLTERRA SYSTEMS WITH IMPULSIVE TOXICANT INPUT AND LEVY NOISE IN POLLUTED ENVIRONMENTS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 256. ISSUE . P. 52 -67 36 88% 1
2 LIU, M , (2015) SURVIVAL ANALYSIS OF A COOPERATION SYSTEM WITH RANDOM PERTURBATIONS IN A POLLUTED ENVIRONMENT.NONLINEAR ANALYSIS-HYBRID SYSTEMS. VOL. 18. ISSUE . P. 100 -116 32 94% 1
3 LIU, M , WANG, K , (2010) PERSISTENCE AND EXTINCTION OF A STOCHASTIC SINGLE-SPECIE MODEL UNDER REGIME SWITCHING IN A POLLUTED ENVIRONMENT.JOURNAL OF THEORETICAL BIOLOGY. VOL. 264. ISSUE 3. P. 934-944 32 97% 11
4 LIU, M , WANG, K , WU, Q , (2011) SURVIVAL ANALYSIS OF STOCHASTIC COMPETITIVE MODELS IN A POLLUTED ENVIRONMENT AND STOCHASTIC COMPETITIVE EXCLUSION PRINCIPLE.BULLETIN OF MATHEMATICAL BIOLOGY. VOL. 73. ISSUE 9. P. 1969-2012 31 86% 34
5 LIU, Q , (2015) ASYMPTOTIC PROPERTIES OF A STOCHASTIC N-SPECIES GILPIN-AYALA COMPETITIVE MODEL WITH LEVY JUMPS AND MARKOVIAN SWITCHING.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 26. ISSUE 1-3. P. 1 -10 22 100% 5
6 LIU, M , WANG, K , (2012) PERSISTENCE AND EXTINCTION OF A SINGLE-SPECIES POPULATION SYSTEM IN A POLLUTED ENVIRONMENT WITH RANDOM PERTURBATIONS AND IMPULSIVE TOXICANT INPUT.CHAOS SOLITONS & FRACTALS. VOL. 45. ISSUE 12. P. 1541-1550 29 85% 7
7 LIU, M , WANG, K , (2016) SURVIVAL ANALYSIS OF A STOCHASTIC SINGLE-SPECIES POPULATION MODEL WITH JUMPS IN A POLLUTED ENVIRONMENT.INTERNATIONAL JOURNAL OF BIOMATHEMATICS. VOL. 9. ISSUE 1. P. - 26 87% 0
8 LIU, M , WANG, K , (2013) PERSISTENCE AND EXTINCTION OF A STOCHASTIC SINGLE-SPECIES POPULATION MODEL IN A POLLUTED ENVIRONMENT WITH IMPULSIVE TOXICANT INPUT.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 28 85% 0
9 ZOU, XL , WANG, K , (2015) OPTIMAL HARVESTING FOR A STOCHASTIC N-DIMENSIONAL COMPETITIVE LOTKA-VOLTERRA MODEL WITH JUMPS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 20. ISSUE 2. P. 683 -701 21 100% 2
10 LIU, M , WANG, K , (2011) SURVIVAL ANALYSIS OF A STOCHASTIC COOPERATION SYSTEM IN A POLLUTED ENVIRONMENT.JOURNAL OF BIOLOGICAL SYSTEMS. VOL. 19. ISSUE 2. P. 183 -204 25 93% 8

Classes with closest relation at Level 1


Rank Class id link
1 10405 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
2 834 POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM
3 37426 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//LYAPUNOV TYPE THEOREMS
4 6866 CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT
5 2065 EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION
6 4663 MARKOVIAN JUMP SYSTEMS//MARKOV JUMP SYSTEMS//MARKOV JUMP LINEAR SYSTEMS
7 23346 ECO EPIDEMIOLOGICAL MODEL//ECO EPIDEMIOLOGICAL SYSTEM//ECO EPIDEMIOLOGY
8 30114 STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS
9 21954 GROWTH FRAGMENTATION EQUATIONS//STEADY SIZE DISTRIBUTIONS//CELL DIVISION EQUATION
10 19552 SINGULAR STOCHASTIC CONTROL//PAIRS TRADING//OPTIMAL STOPPING

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