Class information for:
Level 1: EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2065 2368 28.1 61%


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
2065 1                   EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION 2368

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 EPIDEMIC MODEL authKW 1592893 12% 44% 281
2 BASIC REPRODUCTION NUMBER authKW 1340865 10% 45% 231
3 BACKWARD BIFURCATION authKW 1034720 4% 76% 106
4 GLOBAL STABILITY authKW 882629 13% 22% 309
5 NONLINEAR INCIDENCE authKW 602772 3% 78% 60
6 PULSE VACCINATION authKW 543926 2% 94% 45
7 ENDEMIC EQUILIBRIUM authKW 533394 3% 65% 64
8 SIR EPIDEMIC MODEL authKW 415997 2% 73% 44
9 NONLINEAR INCIDENCE RATE authKW 408915 2% 77% 41
10 REPRODUCTION NUMBER authKW 371666 3% 37% 78

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 90563 36% 1% 849
2 Mathematics, Applied 27726 43% 0% 1019
3 Biology 20494 27% 0% 628
4 Mathematics, Interdisciplinary Applications 6203 12% 0% 283
5 Mathematics 1654 13% 0% 302
6 Physics, Mathematical 458 5% 0% 108
7 Mechanics 419 6% 0% 133
8 Computer Science, Software Engineering 395 3% 0% 82
9 Engineering, General 345 3% 0% 81
10 Computer Science, Interdisciplinary Applications 291 4% 0% 86

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 MODELLING BIOMED SYST GRP 99033 1% 59% 13
2 LIRIMA 55004 0% 53% 8
3 DIS MODELING 51781 1% 27% 15
4 COMP SCI STAT QUAL 51573 0% 100% 4
5 JIANGXI PROV NUMER SIMULAT EMULAT TECH 43420 0% 42% 8
6 ADV ENGN POLYTECH 40287 0% 63% 5
7 SCI JURID ECON SOCIALES SALE 38680 0% 100% 3
8 DIS MODELLING 34595 1% 19% 14
9 MATH PARALLEL SYST 34379 0% 67% 4
10 GUANGXI UNIV COMPLEX SYST OPTIMIZAT BIG 34371 0% 33% 8

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 MATHEMATICAL BIOSCIENCES AND ENGINEERING 235759 5% 16% 117
2 INTERNATIONAL JOURNAL OF BIOMATHEMATICS 131017 3% 14% 75
3 MATHEMATICAL BIOSCIENCES 119318 7% 5% 169
4 JOURNAL OF BIOLOGICAL SYSTEMS 77142 2% 10% 59
5 JOURNAL OF MATHEMATICAL BIOLOGY 68380 5% 5% 111
6 JOURNAL OF BIOLOGICAL DYNAMICS 59414 1% 16% 28
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 42219 3% 4% 75
8 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 36804 4% 3% 84
9 IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY 30751 1% 9% 26
10 BULLETIN OF MATHEMATICAL BIOLOGY 29288 3% 3% 75

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 EPIDEMIC MODEL 1592893 12% 44% 281 Search EPIDEMIC+MODEL Search EPIDEMIC+MODEL
2 BASIC REPRODUCTION NUMBER 1340865 10% 45% 231 Search BASIC+REPRODUCTION+NUMBER Search BASIC+REPRODUCTION+NUMBER
3 BACKWARD BIFURCATION 1034720 4% 76% 106 Search BACKWARD+BIFURCATION Search BACKWARD+BIFURCATION
4 GLOBAL STABILITY 882629 13% 22% 309 Search GLOBAL+STABILITY Search GLOBAL+STABILITY
5 NONLINEAR INCIDENCE 602772 3% 78% 60 Search NONLINEAR+INCIDENCE Search NONLINEAR+INCIDENCE
6 PULSE VACCINATION 543926 2% 94% 45 Search PULSE+VACCINATION Search PULSE+VACCINATION
7 ENDEMIC EQUILIBRIUM 533394 3% 65% 64 Search ENDEMIC+EQUILIBRIUM Search ENDEMIC+EQUILIBRIUM
8 SIR EPIDEMIC MODEL 415997 2% 73% 44 Search SIR+EPIDEMIC+MODEL Search SIR+EPIDEMIC+MODEL
9 NONLINEAR INCIDENCE RATE 408915 2% 77% 41 Search NONLINEAR+INCIDENCE+RATE Search NONLINEAR+INCIDENCE+RATE
10 REPRODUCTION NUMBER 371666 3% 37% 78 Search REPRODUCTION+NUMBER Search REPRODUCTION+NUMBER

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 LI, JQ , YANG, YL , WU, JH , SONG, XC , (2016) GLOBAL STABILITY OF VACCINE-AGE/STAGED-STRUCTURED EPIDEMIC MODELS WITH NONLINEAR INCIDENCE.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 18. P. 1 -17 33 97% 4
2 WANDUKU, D , (2017) COMPLETE GLOBAL ANALYSIS OF A TWO-SCALE NETWORK SIRS EPIDEMIC DYNAMIC MODEL WITH DISTRIBUTED DELAY AND RANDOM PERTURBATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 294. ISSUE . P. 49 -76 43 88% 0
3 HETHCOTE, HW , (2000) THE MATHEMATICS OF INFECTIOUS DISEASES.SIAM REVIEW. VOL. 42. ISSUE 4. P. 599 -653 47 52% 1383
4 TANG, TT , TENG, ZD , LI, ZM , (2015) THRESHOLD BEHAVIOR IN A CLASS OF STOCHASTIC SIRS EPIDEMIC MODELS WITH NONLINEAR INCIDENCE.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 33. ISSUE 6. P. 994 -1019 43 86% 0
5 HU, ZX , MA, WBA , RUAN, SG , (2012) ANALYSIS OF SIR EPIDEMIC MODELS WITH NONLINEAR INCIDENCE RATE AND TREATMENT.MATHEMATICAL BIOSCIENCES. VOL. 238. ISSUE 1. P. 12-20 36 100% 19
6 SHARMA, S , SAMANTA, GP , (2015) STABILITY ANALYSIS AND OPTIMAL CONTROL OF AN EPIDEMIC MODEL WITH VACCINATION.INTERNATIONAL JOURNAL OF BIOMATHEMATICS. VOL. 8. ISSUE 3. P. - 37 88% 1
7 MUROYA, Y , KUNIYA, T , ENATSU, Y , (2015) GLOBAL STABILITY OF A DELAYED MULTI-GROUP SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATES AND RELAPSE OF INFECTION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 20. ISSUE 9. P. 3057 -3091 35 88% 0
8 TIPSRI, S , CHINVIRIYASIT, W , (2015) THE EFFECT OF TIME DELAY ON THE DYNAMICS OF AN SEIR MODEL WITH NONLINEAR INCIDENCE.CHAOS SOLITONS & FRACTALS. VOL. 75. ISSUE . P. 153 -172 36 80% 2
9 ROOP-O, P , CHINVIRIYASIT, W , CHINVIRIYASIT, S , (2015) THE EFFECT OF INCIDENCE FUNCTION IN BACKWARD BIFURCATION FOR MALARIA MODEL WITH TEMPORARY IMMUNITY.MATHEMATICAL BIOSCIENCES. VOL. 265. ISSUE . P. 47 -64 32 91% 1
10 GERBERRY, DJ , (2016) PRACTICAL ASPECTS OF BACKWARD BIFURCATION IN A MATHEMATICAL MODEL FOR TUBERCULOSIS.JOURNAL OF THEORETICAL BIOLOGY. VOL. 388. ISSUE . P. 15 -36 43 66% 0

Classes with closest relation at Level 1


Rank Class id link
1 23346 ECO EPIDEMIOLOGICAL MODEL//ECO EPIDEMIOLOGICAL SYSTEM//ECO EPIDEMIOLOGY
2 16849 CUMULANT TRUNCATION//CRITICAL COMMUNITY SIZE//TSIR MODEL
3 25871 RATIONAL EXEMPTION//ECONOMIC EPIDEMIOLOGY//VACCINATING BEHAVIOUR
4 7626 VIRUS DYNAMICS//INTRACELLULAR DELAY//HIV DYNAMICS
5 20229 COMPUTER VIRUS//MALWARE PROPAGATION//WORM PROPAGATION
6 14292 STOCHASTIC PERMANENCE//STOCHASTICALLY ULTIMATE BOUNDEDNESS//MOMENT BOUNDEDNESS
7 36958 STERILE INSECT RELEASE METHOD//STERILE MOSQUITOES//THE BASIC MOSQUITO OFFSPRING NUMBER
8 6866 CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT
9 37426 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//LYAPUNOV TYPE THEOREMS
10 2379 PANDEMIC//INFLUENZA//EPIDEMICS

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