World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 61 506 427 266 210 205 18752

Hal L. Smith publications per year

The chart shows the history of publications by Hal L. Smith between 1976 and 2020, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Hal L. Smith published across 45 years, from 1976 to 2020, averaging 4.9 papers a year. Output peaked at 23 publications in 1995. 5 of the 222 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1976 to 2020. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 1995. 1976: 1 publication 1977: 2 publications 1978: 1 publication 1979: 1 publication 1980: 2 publications 1981: 2 publications 1982: 3 publications 1983: 4 publications 1984: 0 publications 1985: 0 publications 1986: 10 publications 1987: 2 publications 1988: 1 publication 1989: 2 publications 1990: 7 publications 1991: 11 publications 1992: 1 publication 1993: 6 publications 1994: 3 publications 1995: 23 publications 1996: 3 publications 1997: 4 publications 1998: 2 publications 1999: 4 publications 2000: 7 publications 2001: 7 publications 2002: 3 publications 2003: 8 publications 2004: 2 publications 2005: 5 publications 2006: 7 publications 2007: 5 publications 2008: 15 publications 2009: 4 publications 2010: 19 publications 2011: 12 publications 2012: 6 publications 2013: 3 publications 2014: 4 publications 2015: 4 publications 2016: 4 publications 2017: 6 publications 2018: 1 publication 2019: 2 publications 2020: 3 publications
1976 2020

222 publications in total across all disciplines

View publications per year as a table
Hal L. Smith: publications per year, 1976 to 2020
Year Publications
1976 1
1977 2
1978 1
1979 1
1980 2
1981 2
1982 3
1983 4
1984 0
1985 0
1986 10
1987 2
1988 1
1989 2
1990 7
1991 11
1992 1
1993 6
1994 3
1995 23
1996 3
1997 4
1998 2
1999 4
2000 7
2001 7
2002 3
2003 8
2004 2
2005 5
2006 7
2007 5
2008 15
2009 4
2010 19
2011 12
2012 6
2013 3
2014 4
2015 4
2016 4
2017 6
2018 1
2019 2
2020 3
Total 222
Download as CSV

Hal L. Smith publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Hal L. Smith sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 202–206 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 205 publications — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69 205
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Hal L. Smith D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Hal L. Smith sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 61 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 61 D-Index — 86th percentile

86% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35 61
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Overview

Hal L. Smith is affiliated with Arizona State University in the United States. Their research focuses on several areas within medicine, mathematics, and decision sciences, demonstrating an interdisciplinary approach that integrates modeling, simulation, and public health considerations.

Their contributions include work in the following main fields of study:

  • Medicine
  • Mathematics
  • Decision Sciences

Within these areas, Hal L. Smith has delved into multiple subfields, including:

  • Public Health, Environmental and Occupational Health
  • Modeling and Simulation
  • Management Science and Operations Research

Research topics that have been prominently addressed in their work span:

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • COVID-19 epidemiological studies
  • Complex Systems and Decision Making

A notable recent publication by Hal L. Smith is titled On real-valued SDE and nonnegative-valued SDE population models with demographic variability, published in 2020 in the Journal of Mathematical Biology. This paper contributes to population modeling through stochastic differential equations, which are crucial in representing demographic variability in ecological and epidemiological contexts.

Their collaborative work includes frequent partnerships with coauthors such as:

  • E.J. Allen
  • Linda J. S. Allen

Hal L. Smith's articles have appeared in scientific venues with a particular focus on the Journal of Mathematical Biology, which aligns with their work in mathematical modeling and theoretical biology.

Best Publications

  • Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems

    Hal L. Smith

  • The Theory of the Chemostat: Dynamics of Microbial Competition

    Hal L. Smith;Paul Waltman

  • An Introduction to Delay Differential Equations with Applications to the Life Sciences

    Hal L. Smith

  • 4. Monotone Dynamical Systems

    Morris W Hirsch;Hal Smith

  • Abstract functional-differential equations and reaction-diffusion systems

    R. H. Martin;R. H. Martin;H. L. Smith

  • Dynamical Systems and Population Persistence

    Hal L. Smith;Horst R. Thieme

  • Virus Dynamics: A Global Analysis

    Hal L. Smith;Patrick De Leenheer

  • Global Dynamics of an SEIR Epidemic Model with Vertical Transmission

    Hal L. Smith;Liancheng Wang;Michael Y. Li

  • Robust persistence for semidynamical systems

    Hal L. Smith;Xiao-Qiang Zhao

  • The Poincare-Bendixson theorem for monotone cyclic feedback systems

    John Mallet-Paret;Hal L. Smith

  • Systems of ordinary differential equations which generate an order preserving flow. A survey of results

    Hal L. Smith

  • Global asymptotic stability of traveling waves in delayed reaction-diffusion equations

    Hal L. Smith;Xiao-Qiang Zhao

  • Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions

    Konstantin Mischaikow;Hal Smith;Horst R. Thieme

  • Infinite subharmonic bifurcation in an SEIR epidemic model

    Ira B. Schwartz;H. L. Smith

  • Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems

    Morris W. Hirsch;Hal L. Smith;Xiao-Qiang Zhao

  • Competitive exclusion and coexistence for competitive systems on ordered Banach spaces

    S. B. Hsu;H. L. Smith;Paul Waltman

  • Planar competitive and cooperative difference equations

    H.L. Smith

  • Monotone semiflows generated by functional differential equations

    Hal Smith

  • Competitive Coexistence in an Oscillating Chemostat

    Hal L. Smith

  • Cooperative systems of differential equations with concave nonlinearities

    H. L. Smith

  • The theory of the chemostat: Some Techniques in Nonlinear Analysis

    Hal L. Smith;Paul Waltman

Frequent Co-Authors

Horst R. Thieme
Horst R. Thieme Arizona State University
Paul Waltman
Paul Waltman Emory University
Morris W. Hirsch
Morris W. Hirsch University of California, Berkeley
John Mallet-Paret
John Mallet-Paret Brown University
Xiao-Qiang Zhao
Xiao-Qiang Zhao Memorial University of Newfoundland
Sze-Bi Hsu
Sze-Bi Hsu National Tsing Hua University
Konstantin Mischaikow
Konstantin Mischaikow Rutgers, The State University of New Jersey
Rick Durrett
Rick Durrett Duke University
Philip K. Maini
Philip K. Maini University of Oxford
Eduardo D. Sontag
Eduardo D. Sontag Northeastern University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Exploring mathematics in the USA opens doors to diverse online degrees and career options. Many students consider flexible options like the transfer credits for online mba programs, which allow them to leverage previous coursework and accelerate their studies.

For those interested in data-driven roles, pursuing a data analytics master's degree offers valuable skills relevant across industries. This path complements a strong mathematical background and enhances career prospects in technology, finance, and beyond.

Students looking for less competitive programs might explore the easiest online mba programs to get into and the easiest mba specialization. These options provide approachable routes to advanced qualifications, enabling candidates to balance education with professional commitments effectively.

Overall, these pathways underline the importance of combining mathematical expertise with practical credentials. Choosing the right program can greatly impact career growth, making it essential to research options that fit individual goals and lifestyles.

Best Scientists Citing Hal L. Smith

Trending Scientists

Recently Published Articles