• 5111 Citations
  • 37 h-Index
1976 …2020

Research output per year

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Research Output

  • 5111 Citations
  • 37 h-Index
  • 132 Article
  • 3 Conference contribution
  • 1 Chapter
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Article
2019

A mathematical model of oncolytic virotherapy with time delay

Wang, Z., Guo, Z. & Smith, H., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 4, p. 1836-1860 25 p.

Research output: Contribution to journalArticle

Open Access
3 Scopus citations

Strong cooperation or tragedy of the commons in the chemostat

De Leenheer, P., Schuster, M. & Smith, H., Jan 1 2019, In : Mathematical Biosciences and Engineering. 16, 1, p. 139-149 11 p.

Research output: Contribution to journalArticle

1 Scopus citations
2018

Dynamics of virus and immune response in multi-epitope network

Browne, C. J. & Smith, H., Feb 23 2018, (Accepted/In press) In : Journal of Mathematical Biology. p. 1-38 38 p.

Research output: Contribution to journalArticle

2017

Competition in the Chemostat with Time-Dependent Differential Removal Rates

Fan, G., Smith, H. & Thieme, H., Mar 1 2017, In : Vietnam Journal of Mathematics. 45, 1-2, p. 153-178 26 p.

Research output: Contribution to journalArticle

1 Scopus citations

Monotone dynamical systems: Reflections on new advances & applications

Smith, H., Jan 1 2017, In : Discrete and Continuous Dynamical Systems- Series A. 37, 1, p. 485-504 20 p.

Research output: Contribution to journalArticle

5 Scopus citations

Permanence and Stability of a Kill the Winner Model in Marine Ecology

Korytowski, D. A. & Smith, H., May 1 2017, In : Bulletin of Mathematical Biology. 79, 5, p. 995-1004 10 p.

Research output: Contribution to journalArticle

3 Scopus citations

Persistence in phage-bacteria communities with nested and one-to-one infection networks

Korytowski, D. A. & Smith, H., May 1 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 3, p. 859-875 17 p.

Research output: Contribution to journalArticle

3 Scopus citations

Tragedy of the commons in the chemostat

Schuster, M., Foxall, E., Finch, D., Smith, H. & De Leenheer, P., Dec 1 2017, In : PLoS One. 12, 12, e0186119.

Research output: Contribution to journalArticle

4 Scopus citations
2016

Persistence versus extinction for a class of discrete-time structured population models

Jin, W., Smith, H. & Thieme, H., Mar 1 2016, In : Journal of Mathematical Biology. 72, 4, p. 821-850 30 p.

Research output: Contribution to journalArticle

7 Scopus citations

Special issue dedicated to the memory of Paul waltman

Hsu, S. B., Smith, H. & Zhao, X., Mar 1 2016, In : Discrete and Continuous Dynamical Systems - Series B. 21, 2, p. i-ii

Research output: Contribution to journalArticle

Spread of phage infection of bacteria in a petri dish

Jones, D., Smith, H. & Thieme, H., Mar 1 2016, In : Discrete and Continuous Dynamical Systems - Series B. 21, 2, p. 471-496 26 p.

Research output: Contribution to journalArticle

2 Scopus citations
2015
7 Scopus citations
2014

A model of optimal dosing of antibiotic treatment in biofilm

Imran, M. & Smith, H., Jun 2014, In : Mathematical Biosciences and Engineering. 11, 3, p. 547-571 25 p.

Research output: Contribution to journalArticle

8 Scopus citations

How nested and monogamous infection networks in host-phage communities come to be

Korytowski, D. A. & Smith, H., 2014, In : Theoretical Ecology. 8, 1, p. 111-120 10 p.

Research output: Contribution to journalArticle

11 Scopus citations

Niche partitioning along an environmental gradient

Klapper, I., Dockery, J. & Smith, H., 2014, In : SIAM Journal on Applied Mathematics. 74, 5, p. 1511-1534 24 p.

Research output: Contribution to journalArticle

2 Scopus citations
2013

Chemostats and epidemics: Competition for nutrients/hosts

Smith, H. & Thieme, H., Oct 2013, In : Mathematical Biosciences and Engineering. 10, 5-6, p. 1635-1650 16 p.

Research output: Contribution to journalArticle

8 Scopus citations
14 Scopus citations

Spread of viral infection of immobilized bacteria

Jones, D., Smith, H. & Thieme, H., 2013, In : Networks and Heterogeneous Media. 8, 1, p. 327-342 16 p.

Research output: Contribution to journalArticle

3 Scopus citations
2012

Allelopathy of plasmid-bearing and plasmid-free organisms competing for two complementary resources in a chemostat

Bhattacharyya, J., Smith, H. & Pal, S., Mar 2012, In : Journal of Biological Dynamics. 6, 2, p. 628-644 17 p.

Research output: Contribution to journalArticle

2 Scopus citations

Bacteriophage-resistant and bacteriophage-sensitive Bacteria in a Chemostat

Han, Z. & Smith, H., Oct 2012, In : Mathematical Biosciences and Engineering. 9, 4, p. 737-765 29 p.

Research output: Contribution to journalArticle

7 Scopus citations

Global dynamics of a discrete two-species Lottery-Ricker competition model

Kang, Y. & Smith, H., Mar 2012, In : Journal of Biological Dynamics. 6, 2, p. 358-376 19 p.

Research output: Contribution to journalArticle

10 Scopus citations

Global dynamics of the smallest chemical reaction system with Hopf bifurcation

Smith, H., Apr 2012, In : Journal of Mathematical Chemistry. 50, 4, p. 989-995 7 p.

Research output: Contribution to journalArticle

4 Scopus citations

On spread of phage infection of bacteria in a petri dish

Jones, D., Smith, H., Thieme, H. & Röst, G., 2012, In : SIAM Journal on Applied Mathematics. 72, 2, p. 670-688 19 p.

Research output: Contribution to journalArticle

10 Scopus citations

Persistence of bacteria and phages in a chemostat

Smith, H. & Thieme, H., May 2012, In : Journal of Mathematical Biology. 64, 6, p. 951-979 29 p.

Research output: Contribution to journalArticle

19 Scopus citations
2011

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

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

Research output: Contribution to journalArticle

1 Scopus citations

Bacterial competition in serial transfer culture

Smith, H., Feb 2011, In : Mathematical Biosciences. 229, 2, p. 149-159 11 p.

Research output: Contribution to journalArticle

11 Scopus citations

Bacteriophage and Bacteria in a Flow Reactor

Jones, D. & Smith, H., Oct 2011, In : Bulletin of Mathematical Biology. 73, 10, p. 2357-2383 27 p.

Research output: Contribution to journalArticle

5 Scopus citations
3 Scopus citations
2010

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

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

Research output: Contribution to journalArticle

11 Scopus citations
2009

Bacteriophage infection dynamics: Multiple host binding sites

Smith, H. & Trevino, R. T., Jan 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 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., Mar 2009, In : Journal of Biological Dynamics. 3, 2-3, p. 271-285 15 p.

Research output: Contribution to journalArticle

7 Scopus citations
2008

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

Malik, T. & Smith, H., May 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 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., 2008, In : SIAM Journal on Applied Mathematics. 68, 6, p. 1717-1737 21 p.

Research output: Contribution to journalArticle

12 Scopus citations

Prevalent behavior of strongly order preserving semiflows

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

Research output: Contribution to journalArticle

10 Scopus citations
2007

Dynamics of stoichiometric bacteria-algae interactions in the epilimnion

Wang, H., Smith, H., Kuang, Y. & Elser, J., 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 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 2007, In : Discrete and Continuous Dynamical Systems - Series B. 8, 1, p. 127-143 17 p.

Research output: Contribution to journalArticle

10 Scopus citations
2006

A resource-based model of microbial quiescence

Malik, T. & Smith, H., Aug 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 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 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 2006, In : Computational and Mathematical Methods in Medicine. 7, 4, p. 229-263 35 p.

Research output: Contribution to journalArticle

16 Scopus citations
2005

Biofilms and the plasmid maintenance question

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

Research output: Contribution to journalArticle

9 Scopus citations

Monotone maps: A review

Hirsch, M. W. & Smith, H., Apr 2005, In : Journal of Difference Equations and Applications. 11, 4-5, p. 379-398 20 p.

Research output: Contribution to journalArticle

77 Scopus citations