• 5087 Citations
  • 37 h-Index
1976 …2020
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Research Output 1976 2019

  • 5087 Citations
  • 37 h-Index
  • 132 Article
  • 3 Conference contribution
  • 1 Chapter
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Article
2009
7 Citations (Scopus)

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

fungal disease
disease models
persistence
disease transmission
bifurcation
2010
11 Citations (Scopus)

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

Stage-structured
Epidemic Model
Persistence
Discrete-time
SIR Epidemic Model
21st Century History
20th Century History
Mathematics
Computational Biology
bioinformatics
2011
1 Citation (Scopus)

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

Reaction-diffusion System
Viruses
Virus
Time Delay
Time delay
11 Citations (Scopus)

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

Chemostats
Growth
Nutrients
Dilution
Mathematical models
5 Citations (Scopus)

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

Bacteriophages
bacteriophage
bacteriophages
Bacteria
Reactor
3 Citations (Scopus)
Dissipativity
Well-posedness
Bacteria
Reactor
Chemostat
2012
2 Citations (Scopus)

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

allelopathy
chemostat
plasmid
plasmids
organisms
7 Citations (Scopus)

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

Chemostats
Chemostat
Bacteriophages
bacteriophages
Bacteria
10 Citations (Scopus)

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

orbits
coexistence
persistence
basins
basin
4 Citations (Scopus)

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

Hopf bifurcation
Global Dynamics
Chemical Reaction
Hopf Bifurcation
Chemical reactions
10 Citations (Scopus)

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

Bacteriophages
Viruses
Bacteria
Spreading Speed
Virus
19 Citations (Scopus)

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

Chemostats
Chemostat
Bacteriophages
bacteriophages
Bacteria
2013
8 Citations (Scopus)

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

Chemostats
Chemostat
Nutrients
Functional Response
Basic Reproduction Number
13 Citations (Scopus)
Structured Populations
Population Model
Global Stability
Persistence
Discrete-time
3 Citations (Scopus)

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

Viruses
Bacteria
Virus
Infection
Spreading Speed
2014
8 Citations (Scopus)

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

Biofilm
Antibiotics
Biofilms
biofilm
antibiotics
11 Citations (Scopus)

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

bacterium
chemostat
nutrient
host range
bacteriophage
2 Citations (Scopus)

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

Niche
Partitioning
Gradient
Invariance
Boundary conditions
2015
Cell Migration
Similarity Solution
Second-order Ordinary Differential Equations
Existence and Uniqueness of Solutions
Neumann Boundary Conditions
7 Citations (Scopus)
Persistence
Homogeneous Function
Basic Reproduction number
Spectral Radius
Extinction
2016
7 Citations (Scopus)

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

seed cones
Structured Populations
Population Model
Extinction
Persistence

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

Data storage equipment
2 Citations (Scopus)

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

Bacteriophages
Viruses
Bacteria
Virus
Infection
2017
1 Citation (Scopus)

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

Chemostat
Functional Response
Die
5 Citations (Scopus)

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

Monotone Dynamical System
Dynamical systems
Control System
Monotone Systems
Control systems
3 Citations (Scopus)

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

Marine Biology
Zooplankton
Lotka-Volterra Model
marine science
Permanence
3 Citations (Scopus)

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

Bacteriophages
Viruses
Bacteria
Persistence
Infection
4 Citations (Scopus)

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

Chemostats
nutrient uptake
Nutrients
nutrients
Growth
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

Epitopes
Immune Response
Viruses
epitopes
Virus
2019
3 Citations (Scopus)

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
Oncolytic Virotherapy
Viruses
Virus
Time Delay
Time delay
1 Citation (Scopus)

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

Chemostats
Chemostat
Nutrients
nutrient uptake
Growth