• 5146 Citations
  • 37 h-Index
1976 …2020

Research output per year

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Research Output

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Article
1995
8 Scopus citations
1996

A discrete, size-structured model of microbial growth and competition in the chemostat

Smith, H., Jan 1 1996, In : Journal Of Mathematical Biology. 34, 7, p. 734-754 21 p.

Research output: Contribution to journalArticle

19 Scopus citations

A parabolic system modeling microbial competition in an unmixed bio-reactor

Dung, L. & Smith, H., Sep 1 1996, In : Journal of Differential Equations. 130, 1, p. 59-91 33 p.

Research output: Contribution to journalArticle

56 Scopus citations

Competitive exclusion and coexistence for competitive systems on ordered danach spaces

Hsu, S. B., Smith, H. & Waltman, P., Dec 1 1996, In : Transactions of the American Mathematical Society. 348, 10, p. 4083-4094 12 p.

Research output: Contribution to journalArticle

115 Scopus citations
1997

Complicated dynamics for low-dimensional strongly monotone maps

Smith, H., Dec 1997, In : Nonlinear Analysis, Theory, Methods and Applications. 30, 3, p. 1911-1914 4 p.

Research output: Contribution to journalArticle

6 Scopus citations
83 Scopus citations

The periodically forced Droop model for phytoplankton growth in a chemostat

Smith, H., May 1997, In : Journal Of Mathematical Biology. 35, 5, p. 545-556 12 p.

Research output: Contribution to journalArticle

24 Scopus citations
1998

Effects of random motility on microbial growth and competition in a flow reactor

Ballyk, M., Dung, L., Jones, D. & Smith, H., Nov 1 1998, In : SIAM Journal on Applied Mathematics. 59, 2, p. 573-596 24 p.

Research output: Contribution to journalArticle

75 Scopus citations
1999

A model of microbial growth in a plug flow reactor with wall attachment

Ballyk, M. & Smith, H., May 1 1999, In : Mathematical Biosciences. 158, 2, p. 95-126 32 p.

Research output: Contribution to journalArticle

54 Scopus citations

Dynamics of a Periodically Pulsed Bio-reactor Model

Smith, H. & Zhao, X. Q., Jul 1 1999, In : Journal of Differential Equations. 155, 2, p. 368-404 37 p.

Research output: Contribution to journalArticle

Open Access
35 Scopus citations

Perturbation of a globally stable steady state

Smith, H. & Waltman, P., Dec 1 1999, In : Proceedings of the American Mathematical Society. 127, 2, p. 447-453 7 p.

Research output: Contribution to journalArticle

58 Scopus citations
2000

Competition in a chemostat with wall attachment

Stemmons, E. D. & Smith, H., Aug 2000, In : SIAM Journal on Applied Mathematics. 61, 2, p. 567-595 29 p.

Research output: Contribution to journalArticle

16 Scopus citations

Competition in the periodic gradostat

Smith, H. & Waltman, P., Mar 2000, In : Nonlinear Analysis: Real World Applications. 1, 1, p. 177-188 12 p.

Research output: Contribution to journalArticle

3 Scopus citations

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

Smith, H. & Zhao, X. Q., Jan 1 2000, In : SIAM Journal on Mathematical Analysis. 31, 3, p. 514-534 21 p.

Research output: Contribution to journalArticle

157 Scopus citations

Microbial competition for nutrient and wall sites in plug flow

Jones, D. & Smith, H., May 2000, In : SIAM Journal on Applied Mathematics. 60, 5, p. 1576-1600 25 p.

Research output: Contribution to journalArticle

16 Scopus citations

Microbial growth in a plug flow reactor with wall adherence and cell motility

Smith, H. & Zhao, X. Q., Jan 1 2000, In : Journal of Mathematical Analysis and Applications. 241, 1, p. 134-155 22 p.

Research output: Contribution to journalArticle

Open Access
10 Scopus citations

Stable Periodic Orbits for a Predator-Prey Model with Delay

Cavani, M., Lizana, M. & Smith, H., Sep 15 2000, In : Journal of Mathematical Analysis and Applications. 249, 2, p. 324-339 16 p.

Research output: Contribution to journalArticle

Open Access
16 Scopus citations
2001

Chain transitivity, attractivity, and strong repellors for semidynamical systems

Hirsch, M. W., Smith, H. & Zhao, X. Q., Jan 1 2001, In : Journal of Dynamics and Differential Equations. 13, 1, p. 107-131 25 p.

Research output: Contribution to journalArticle

127 Scopus citations

Competitive exclusion in a discrete-time, size-structured chemostat model

Smith, H. & Zmao, X. Q., Jan 1 2001, In : Discrete and Continuous Dynamical Systems - Series B. 1, 2, p. 183-191 9 p.

Research output: Contribution to journalArticle

Open Access
21 Scopus citations

Global dynamics of an seir epidemic model with vertical transmission

Li, M. Y., Smith, H. & Wang, L., Dec 1 2001, In : SIAM Journal on Applied Mathematics. 62, 1, p. 58-69 12 p.

Research output: Contribution to journalArticle

171 Scopus citations

How many species can two essential resources support?

Li, B. & Smith, H., Jan 1 2001, In : SIAM Journal on Applied Mathematics. 62, 1, p. 336-366 31 p.

Research output: Contribution to journalArticle

32 Scopus citations

Microbial competition in reactors with wall attachment: A mathematical comparison of chemostat and plug flow models

Ballyk, M. M., Jones, D. & Smith, H., Jan 1 2001, In : Microbial Ecology. 41, 3, p. 210-221 12 p.

Research output: Contribution to journalArticle

19 Scopus citations

Stable coexistence and bi-stability for competitive systems on ordered Banach spaces

Smith, H. & Thieme, H., Oct 10 2001, In : Journal of Differential Equations. 176, 1, p. 195-222 28 p.

Research output: Contribution to journalArticle

30 Scopus citations
2002

Bacterial wall attachment in a flow reactor

Jones, D., Kojouharov, H. V., Le, D. & Smith, H., May 1 2002, In : SIAM Journal on Applied Mathematics. 62, 5, p. 1728-1771 44 p.

Research output: Contribution to journalArticle

15 Scopus citations

Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains

Le, D. & Smith, H., Nov 1 2002, In : Journal of Mathematical Analysis and Applications. 275, 1, p. 208-221 14 p.

Research output: Contribution to journalArticle

6 Scopus citations
2003

Feedback control for chemostat models

De Leenheer, P. & Smith, H., Jan 1 2003, In : Journal Of Mathematical Biology. 46, 1, p. 48-70 23 p.

Research output: Contribution to journalArticle

101 Scopus citations

Microbial competition for nutrient in a 3D flow reactor

Jones, D., Kojouharov, H. V., Le, D. & Smith, H., Feb 1 2003, In : Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 10, 1-3, p. 57-67 11 p.

Research output: Contribution to journalArticle

1 Scopus citations

Periodic coexistence of four species competing for three essential resources

Li, B. & Smith, H., Aug 2003, In : Mathematical Biosciences. 184, 2, p. 115-135 21 p.

Research output: Contribution to journalArticle

18 Scopus citations

The Freter model: A simple model of biofilm formation

Jones, D., Kojouharov, H. V., Le, D. & Smith, H., Aug 1 2003, In : Journal Of Mathematical Biology. 47, 2, p. 137-152 16 p.

Research output: Contribution to journalArticle

19 Scopus citations

Virus dynamics: A global analysis

De Leenheer, P. & Smith, H., Mar 1 2003, In : SIAM Journal on Applied Mathematics. 63, 4, p. 1313-1327 15 p.

Research output: Contribution to journalArticle

284 Scopus citations
2004

Traveling waves in a bio-reactor model

Smith, H. & Zhao, X. Q., Dec 1 2004, In : Nonlinear Analysis: Real World Applications. 5, 5, p. 895-909 15 p.

Research output: Contribution to journalArticle

29 Scopus citations
2005

Biofilms and the plasmid maintenance question

Imran, M., Jones, D. & Smith, H., Feb 1 2005, In : Mathematical Biosciences. 193, 2, p. 183-204 22 p.

Research output: Contribution to journalArticle

9 Scopus citations
2006

A resource-based model of microbial quiescence

Malik, T. & Smith, H., Aug 1 2006, In : Journal Of Mathematical Biology. 53, 2, p. 231-252 22 p.

Research output: Contribution to journalArticle

17 Scopus citations

Asymptotically stable equilibria for monotone semiflows

Hirsch, M. W. & Smith, H., Mar 1 2006, In : Discrete and Continuous Dynamical Systems. 14, 3, p. 385-398 14 p.

Research output: Contribution to journalArticle

13 Scopus citations

Multiple limit cycles in the standard model of three species competition for three essential resources

Baer, S., Li, B. & Smith, H., Jun 1 2006, In : Journal Of Mathematical Biology. 52, 6, p. 745-760 16 p.

Research output: Contribution to journalArticle

8 Scopus citations

Nonmonotone systems decomposable into monotone systems with negative feedback

Enciso, G. A., Smith, H. & Sontag, E. D., May 1 2006, In : Journal of Differential Equations. 224, 1, p. 205-227 23 p.

Research output: Contribution to journalArticle

40 Scopus citations

The discrete dynamics of monotonically decomposable maps

Smith, H., Oct 2006, In : Journal Of Mathematical Biology. 53, 4, p. 747-758 12 p.

Research output: Contribution to journalArticle

29 Scopus citations

The pharmacodynamics of antibiotic treatment

Mudassar, I. & Smith, H., Dec 1 2006, In : Computational and Mathematical Methods in Medicine. 7, 4, p. 229-263 35 p.

Research output: Contribution to journalArticle

16 Scopus citations
2007

Dynamics of stoichiometric bacteria-algae interactions in the epilimnion

Wang, H., Smith, H., Kuang, Y. & Elser, J., Dec 1 2007, In : SIAM Journal on Applied Mathematics. 68, 2, p. 503-522 20 p.

Research output: Contribution to journalArticle

23 Scopus citations

Global dynamics of microbial competition for two resources with internal storage

Li, B. & Smith, H., Oct 1 2007, In : Journal Of Mathematical Biology. 55, 4, p. 481-515 35 p.

Research output: Contribution to journalArticle

24 Scopus citations

The dynamics of bacterial infection, innate immune response, and antibiotic treatment

Imran, M. & Smith, H., Jul 1 2007, In : Discrete and Continuous Dynamical Systems - Series B. 8, 1, p. 127-143 17 p.

Research output: Contribution to journalArticle

11 Scopus citations
2008

Does dormancy increase fitness of bacterial populations in time-varying environments?

Malik, T. & Smith, H., May 1 2008, In : Bulletin of mathematical biology. 70, 4, p. 1140-1162 23 p.

Research output: Contribution to journalArticle

17 Scopus citations

Global stability for mixed monotone systems

Smith, H., Oct 1 2008, In : Journal of Difference Equations and Applications. 14, 10-11, p. 1159-1164 6 p.

Research output: Contribution to journalArticle

13 Scopus citations

Models of virulent phage growth with application to phage therapy

Smith, H., Dec 1 2008, In : SIAM Journal on Applied Mathematics. 68, 6, p. 1717-1737 21 p.

Research output: Contribution to journalArticle

13 Scopus citations

Prevalent behavior of strongly order preserving semiflows

Enciso, G. A., Hirsch, M. W. & Smith, H., Mar 1 2008, In : Journal of Dynamics and Differential Equations. 20, 1, p. 115-132 18 p.

Research output: Contribution to journalArticle

10 Scopus citations
2009

Bacteriophage infection dynamics: Multiple host binding sites

Smith, H. & Trevino, R. T., Jan 1 2009, In : Mathematical Modelling of Natural Phenomena. 4, 6, p. 109-134 26 p.

Research output: Contribution to journalArticle

14 Scopus citations

Lyapunov exponents and persistence in discrete dynamical systems

Salceanu, P. L. & Smith, H., Jul 1 2009, In : Discrete and Continuous Dynamical Systems - Series B. 12, 1, p. 187-203 17 p.

Research output: Contribution to journalArticle

18 Scopus citations

Persistence in a discrete-time stage-structured fungal disease model

Salceanu, P. L. & Smith, H., Jan 1 2009, In : Journal of biological dynamics. 3, 2-3, p. 271-285 15 p.

Research output: Contribution to journalArticle

7 Scopus citations
2010

Persistence in a discrete-time, stage-structured epidemic model

Salceanu, P. L. & Smith, H., Jan 1 2010, In : Journal of Difference Equations and Applications. 16, 1, p. 73-103 31 p.

Research output: Contribution to journalArticle

11 Scopus citations
2011

A reaction-diffusion system with time-delay modeling virus plaque formation

Smith, H. & Thieme, H., Dec 1 2011, In : Canadian Applied Mathematics Quarterly. 19, 4, p. 385-399 15 p.

Research output: Contribution to journalArticle

1 Scopus citations