If you made any changes in Pure, your changes will be visible here soon.

Research Output 1976 2019

  • 4874 Citations
  • 37 h-Index
  • 132 Article
  • 3 Conference contribution
  • 1 Chapter
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
Oncolytic Virotherapy
Viruses
Virus
Time Delay
Time delay

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
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
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
1 Citation (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
2 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
2 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
2016
1 Citation (Scopus)

A special class of lotka–volterra models of bacteria-virus infection networks

Korytowski, D. A. & Smith, H., 2016, Applied Analysis in Biological and Physical Sciences - ICMBAA 2015. Springer New York LLC, Vol. 186. p. 113-119 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lotka-Volterra Model
Volterra
Bacteria
Lyapunov Function
Virus
6 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
2015
Cell Migration
Similarity Solution
Second-order Ordinary Differential Equations
Existence and Uniqueness of Solutions
Neumann Boundary Conditions
6 Citations (Scopus)
Persistence
Homogeneous Function
Basic Reproduction number
Spectral Radius
Extinction
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
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
12 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
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
6 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
18 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
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
9 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
4 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
2 Citations (Scopus)
Dissipativity
Well-posedness
Bacteria
Reactor
Chemostat
2010
10 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
2009
11 Citations (Scopus)

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

Bacteriophages
Binding sites
Stochastic Model
Infection
Basic Reproductive number
17 Citations (Scopus)

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

Discrete Dynamical Systems
Lyapunov Exponent
Persistence
Dynamical systems
Invariant Set
4 Citations (Scopus)

Lyapunov exponents and uniform weak normally repelling invariant sets

Salceanu, P. L. & Smith, H., 2009, Lecture Notes in Control and Information Sciences. Vol. 389. p. 17-27 11 p. (Lecture Notes in Control and Information Sciences; vol. 389).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

persistence
time
6 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
2008
16 Citations (Scopus)

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

Varying Environment
Dormancy
dormancy
Fitness
Time-varying
12 Citations (Scopus)

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

Monotone Systems
Global Stability
Convergence of numerical methods
Difference equations
Interval Order
12 Citations (Scopus)

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

Bacteriophages
Bacteria
Therapy
Pharmacokinetics
Growth Model
9 Citations (Scopus)

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

Semiflow
Monotone Systems
Converge
Measurability
Convex Domain
Mathematical Biology
Discrete Dynamics
Decomposable
Proposition
Corollary
2007
20 Citations (Scopus)

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

Algae
Bacteria
Nucleic acids
Bifurcation Diagram
Lakes
24 Citations (Scopus)

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

microbial competition
Systems Theory
Global Dynamics
Internal
Resources
10 Citations (Scopus)

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

Immune Response
Antibiotics
Infection
Tissue
Nutrients
2006
17 Citations (Scopus)

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

Nutrients
Resources
Sleep
Dichotomy
Wake
12 Citations (Scopus)

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

Semiflow
Asymptotically Stable
Partial differential equations
Monotone
Kolmogorov System
164 Citations (Scopus)

Chapter 4 Monotone Dynamical Systems

Hirsch, M. W. & Smith, H., 2006, Handbook of Differential Equations: Ordinary Differential Equations. Vol. 2. p. 239-357 119 p. (Handbook of Differential Equations: Ordinary Differential Equations; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingChapter

Monotone Dynamical System
Dynamical systems
8 Citations (Scopus)

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

Chemostats
Hopf bifurcation
orbits
Orbit
Heteroclinic Cycle
37 Citations (Scopus)

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

Monotone Systems
Negative Feedback
Decomposable
Dynamical systems
Feedback
28 Citations (Scopus)

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

Discrete Dynamics
Decomposable
Stage-structured
Structured Populations
Globally Asymptotically Stable