Class information for:
Level 1: POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
834 3022 22.5 56%


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
834 1                   POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM 3022

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 POSITIVE PERIODIC SOLUTION authKW 1521961 7% 67% 226
2 PERMANENCE authKW 1362251 10% 43% 314
3 PREDATOR PREY SYSTEM authKW 1179153 7% 55% 212
4 COINCIDENCE DEGREE authKW 858669 6% 51% 168
5 GLOBAL ATTRACTIVITY authKW 659630 6% 39% 167
6 PREDATOR PREY MODEL authKW 595504 5% 39% 153
7 STAGE STRUCTURE authKW 570734 5% 41% 138
8 PERIODIC SOLUTION authKW 458756 13% 12% 381
9 RATIO DEPENDENT authKW 442878 2% 80% 55
10 HOPF BIFURCATION authKW 402558 10% 13% 296

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 87636 67% 0% 2021
2 Mathematics 12758 29% 0% 871
3 Mathematical & Computational Biology 12147 12% 0% 358
4 Mathematics, Interdisciplinary Applications 9946 13% 0% 403
5 Biology 2546 9% 0% 266
6 Mechanics 1138 8% 0% 232
7 Physics, Mathematical 1133 6% 0% 183
8 Ecology 370 5% 0% 152
9 Engineering, General 265 3% 0% 84
10 Computer Science, Software Engineering 216 2% 0% 74

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 INFORMAT SERV OCEAN SCI GRP 65653 0% 50% 13
2 GUIZHOU ECON SYST SIMULAT 56870 1% 22% 26
3 SUNSHINE 43059 0% 47% 9
4 MINIST SCI TRAINING 40410 0% 100% 4
5 MATH 39349 43% 0% 1288
6 KLVE 36078 0% 71% 5
7 POLYDISCIPLINARY OUARZAZATE 32326 0% 80% 4
8 MATH BIOL ECOL 28850 0% 29% 10
9 MATH SCI COMP TECHNOL 25825 1% 8% 33
10 MATH OR SECT 23088 0% 57% 4

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 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 173824 7% 8% 206
2 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 119722 3% 15% 81
3 DISCRETE DYNAMICS IN NATURE AND SOCIETY 63782 4% 5% 116
4 APPLIED MATHEMATICS AND COMPUTATION 53154 10% 2% 304
5 ADVANCES IN DIFFERENCE EQUATIONS 38246 3% 4% 90
6 MATHEMATICAL BIOSCIENCES 18810 3% 2% 76
7 JOURNAL OF MATHEMATICAL BIOLOGY 18304 2% 3% 65
8 ABSTRACT AND APPLIED ANALYSIS 18054 3% 2% 89
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 17131 6% 1% 190
10 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 14656 2% 3% 50

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 POSITIVE PERIODIC SOLUTION 1521961 7% 67% 226 Search POSITIVE+PERIODIC+SOLUTION Search POSITIVE+PERIODIC+SOLUTION
2 PERMANENCE 1362251 10% 43% 314 Search PERMANENCE Search PERMANENCE
3 PREDATOR PREY SYSTEM 1179153 7% 55% 212 Search PREDATOR+PREY+SYSTEM Search PREDATOR+PREY+SYSTEM
4 COINCIDENCE DEGREE 858669 6% 51% 168 Search COINCIDENCE+DEGREE Search COINCIDENCE+DEGREE
5 GLOBAL ATTRACTIVITY 659630 6% 39% 167 Search GLOBAL+ATTRACTIVITY Search GLOBAL+ATTRACTIVITY
6 PREDATOR PREY MODEL 595504 5% 39% 153 Search PREDATOR+PREY+MODEL Search PREDATOR+PREY+MODEL
7 STAGE STRUCTURE 570734 5% 41% 138 Search STAGE+STRUCTURE Search STAGE+STRUCTURE
8 PERIODIC SOLUTION 458756 13% 12% 381 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
9 RATIO DEPENDENT 442878 2% 80% 55 Search RATIO+DEPENDENT Search RATIO+DEPENDENT
10 HOPF BIFURCATION 402558 10% 13% 296 Search HOPF+BIFURCATION Search HOPF+BIFURCATION

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 YU, SB , (2014) GLOBAL STABILITY OF A MODIFIED LESLIE-GOWER MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 38 88% 7
2 SHI, CL , LI, Z , CHEN, FD , (2012) EXTINCTION IN A NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAY AND FEEDBACK CONTROLS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 13. ISSUE 5. P. 2214-2226 34 97% 19
3 CHEN, FD , HAN, MA , LI, Z , (2013) INFLUENCE OF FEEDBACK CONTROLS ON AN AUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAYS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 14. ISSUE 1. P. 402 -413 32 100% 13
4 LIN, YH , XIE, XD , CHEN, FD , LI, TT , (2016) CONVERGENCES OF A STAGE-STRUCTURED PREDATOR-PREY MODEL WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE II SCHEMES.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 32 100% 0
5 XIE, XD , XUE, YL , WU, RX , ZHAO, L , (2016) EXTINCTION OF A TWO SPECIES COMPETITIVE SYSTEM WITH NONLINEAR INTER-INHIBITION TERMS AND ONE TOXIN PRODUCING PHYTOPLANKTON.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 28 97% 2
6 ZHOU, TJ , ZHANG, XL , XIANG, MH , WU, ZH , (2016) PERMANENCE AND ALMOST PERIODIC SOLUTION OF A PREDATOR-PREY DISCRETE SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSE.INTERNATIONAL JOURNAL OF BIOMATHEMATICS. VOL. 9. ISSUE 3. P. - 32 97% 0
7 XIE, XD , XUE, YL , CHEN, JH , LI, TT , (2016) PERMANENCE AND GLOBAL ATTRACTIVITY OF A NONAUTONOMOUS MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH HOLLING-TYPE II SCHEMES AND A PREY.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 32 94% 0
8 XU, CJ , WU, YS , LU, L , (2014) PERMANENCE AND GLOBAL ATTRACTIVITY IN A DISCRETE LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH DELAYS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 35 85% 2
9 RUAN, S , (2009) ON NONLINEAR DYNAMICS OF PREDATOR-PREY MODELS WITH DISCRETE DELAY.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 4. ISSUE 2. P. 140 -188 41 73% 46
10 CHEN, FD , LI, Z , CHEN, XX , LAITOCHOVA, J , (2007) DYNAMIC BEHAVIORS OF A DELAY DIFFERENTIAL EQUATION MODEL OF PLANKTON ALLELOPATHY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 206. ISSUE 2. P. 733 -754 33 100% 25

Classes with closest relation at Level 1


Rank Class id link
1 23346 ECO EPIDEMIOLOGICAL MODEL//ECO EPIDEMIOLOGICAL SYSTEM//ECO EPIDEMIOLOGY
2 6866 CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT
3 20532 ALLEE EFFECT//GRP ECOL MATEMAT//COMPONENT ALLEE EFFECT
4 14292 STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS
5 20569 TOXIN PRODUCING PHYTOPLANKTON//PARADOX OF PLANKTON//ZHEJIANG PROV WATER ENVIRONM MARINE BIO
6 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
7 8427 STATE DEPENDENT DELAY//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
8 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
9 23869 LIFE HISTORY OMNIVORY//BIOMASS OVERCOMPENSATION//PHYSIOLOGICALLY STRUCTURED POPULATION MODELS
10 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION

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