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Author ID: smith.hal-leslie Recent zbMATH articles by "Smith, Hal Leslie"
Published as: Smith, Hal L.; Smith, H. L.; Smith, Hal; Smith, Hal Leslie
Homepage: https://math.la.asu.edu/~halsmith/
External Links: MGP
all top 5

Serials

20 Journal of Mathematical Biology
18 SIAM Journal on Applied Mathematics
12 Journal of Differential Equations
10 Journal of Mathematical Analysis and Applications
8 Journal of Dynamics and Differential Equations
7 SIAM Journal on Mathematical Analysis
7 The Canadian Applied Mathematics Quarterly
6 Rocky Mountain Journal of Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
6 Nonlinear Analysis. Theory, Methods & Applications
5 Mathematical Biosciences
5 Mathematical Biosciences and Engineering
4 Journal of Difference Equations and Applications
4 Discrete and Continuous Dynamical Systems
3 Bulletin of Mathematical Biology
3 Transactions of the American Mathematical Society
3 Journal of Biological Dynamics
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Differential and Integral Equations
2 SIAM Review
2 Nonlinear Analysis. Real World Applications
2 Cambridge Studies in Mathematical Biology
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal of the Australian Mathematical Society, Series B
1 Bulletin of the London Mathematical Society
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal für die Reine und Angewandte Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Mathematical Chemistry
1 Differential Equations and Dynamical Systems
1 Vietnam Journal of Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Graduate Studies in Mathematics
1 Lecture Notes in Mathematics
1 Mathematical Surveys and Monographs
1 Texts in Applied Mathematics
1 Computational & Mathematical Methods in Medicine
1 Networks and Heterogeneous Media
1 Mathematical Modelling of Natural Phenomena

Publications by Year

Citations contained in zbMATH Open

169 Publications have been cited 6,915 times in 4,558 Documents Cited by Year
Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Zbl 0821.34003
Smith, Hal L.
1995
The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031
Smith, Hal L.; Waltman, Paul
525
1995
Abstract functional differential equations and reaction-diffusion systems. Zbl 0722.35046
Martin, R. H. jun.; Smith, H. L.
388
1990
An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001
Smith, Hal
338
2011
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
269
2011
Virus dynamics: a global analysis. Zbl 1035.34045
De Leenheer, Patrick; Smith, Hal L.
222
2003
Robust persistence for semidynamical systems. Zbl 1042.37504
Smith, Hal L.; Zhao, Xiao-Qiang
197
2001
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
143
2000
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
127
2001
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
124
1996
Planar competitive and cooperative difference equations. Zbl 0907.39004
Smith, H. L.
122
1998
Monotone dynamical systems. Zbl 1094.34003
Hirsch, M. W.; Smith, Hal
120
2005
Global stability for infinite delay Lotka–Volterra type systems. Zbl 0786.34077
Kuang, Y.; Smith, H. L.
108
1993
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
107
1995
Cooperative systems of differential equations with concave nonlinearities. Zbl 0612.34035
Smith, H. L.
107
1986
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
106
2001
Systems of ordinary differential equations which generate an order preserving flow. A survey of results. Zbl 0674.34012
Smith, Hal L.
101
1988
The Poincaré-Bendixson theorem for monotone cyclic feedback systems. Zbl 0712.34060
Mallet-Paret, John; Smith, Hal L.
100
1990
Monotone semiflows generated by functional differential equations. Zbl 0612.34067
Smith, Hal
94
1987
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
93
1983
Reaction-diffusion systems with time delays: Monotonicity, invariance, comparison and convergence. Zbl 0709.35059
Martin, R. H. jun.; Smith, H. L.
88
1991
Effects of random motility on microbial growth and competition in a flow reactor. Zbl 1051.92039
Ballyk, Mary; Dung, Le; Jones, Don A.; Smith, Hal L.
83
1999
The theory of the chemostat. Dynamics of microbial competition. Reprint of the 1995 hardback ed. Zbl 1139.92029
Smith, Hal L.; Waltman, Paul
73
2008
Competitive coexistence in an oscillating chemostat. Zbl 0467.92018
Smith, Hal L.
72
1981
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
69
1991
Periodic competitive differential equations and the discrete dynamics of competitive maps. Zbl 0596.34013
Smith, Hal L.
67
1986
Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems. Zbl 0872.34047
Zhao, Tao; Kuang, Yang; Smith, H. L.
66
1997
Feedback control for chemostat models. Zbl 1015.92046
De Leenheer, Patrick; Smith, Hal
53
2003
Perturbation of a globally stable steady state. Zbl 0924.58087
Smith, H. L.; Waltman, P.
51
1999
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
48
2005
Slowly oscillating periodic solutions of autonomous state-dependent delay equations. Zbl 0774.34054
Kuang, Y.; Smith, H. L.
46
1992
Periodic solutions of periodic competitive and cooperative systems. Zbl 0609.34048
Smith, Hal L.
45
1986
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
45
1991
A parabolic system modeling microbial competition in an unmixed bio-reactor. Zbl 0865.35017
Le Dung; Smith, Hal L.
43
1996
Subharmonic bifurcation in an S-I-R epidemic model. Zbl 0578.92023
Smith, H. L.
43
1983
Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study. Zbl 0797.92024
Smith, Hal L.
42
1993
On the asymptotic behavior of a class of deterministic models of cooperating species. Zbl 0607.92023
Smith, Hal L.
41
1986
Competing subcommunities of mutualists and a generalized Kamke theorem. Zbl 0609.92033
Smith, Hal L.
40
1986
Periodic solutions of differential delay equations with threshold-type delays. Zbl 0762.34044
Smith, H. L.; Kuang, Y.
40
1992
Dynamics of competition in the unstirred chemostat. Zbl 0831.92028
Hsu, S. B.; Smith, H. L.; Waltman, Paul
35
1994
Multiple stable subharmonics for a periodic epidemic model. Zbl 0529.92018
Smith, H. L.
34
1983
Quasi convergence and stability for strongly order-preserving semiflows. Zbl 0704.34054
Smith, Hal L.; Thieme, Horst R.
33
1990
Invariant curves for mappings. Zbl 0606.47056
Smith, Hal L.
32
1986
The interaction of steady state and Hopf bifurcations in a two-predator- one-prey competition model. Zbl 0489.92019
Smith, Hal L.
32
1982
On periodic solutions of a delay integral equation modelling epidemics. Zbl 0354.92035
Smith, H. L.
32
1977
Dynamics of a periodically pulsed bio-reactor model. Zbl 0930.35085
Smith, Hal L.; Zhao, Xiao-Qiang
31
1999
Periodic orbits of competitive and cooperative systems. Zbl 0615.34027
Smith, Hal L.
31
1986
Oscillations and multiple steady states in a cyclic gene model with repression. Zbl 0619.92004
Smith, Hal
31
1987
Stable periodic orbits for a class of three dimensional competitive systems. Zbl 0802.34064
Zhu, Hsiu-Rong; Smith, Hal L.
31
1994
Competition for a single limiting resource in continuous culture: The variable-yield model. Zbl 0829.92020
Smith, Hal L.; Waltman, Paul
30
1994
On eigenvalue problems for nondifferentiable mappings. Zbl 0389.34019
Schmitt, K.; Smith, H. L.
30
1979
Monotone semiflows in scalar non-quasi-monotone functional differential equations. Zbl 0719.34123
Smith, Hal L.; Thieme, Horst R.
29
1990
A model of microbial growth in a plug flow reactor with wall attachment. Zbl 0980.92034
Ballyk, Mary; Smith, Hal
29
1999
Fixed point techniques in a cone with applications. Zbl 0435.47060
Gatica, J. A.; Smith, Hal L.
28
1977
Global stability in diffusive delay Lotka-Volterra systems. Zbl 0752.34041
Kuang, Y.; Smith, H. L.
26
1991
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
24
2001
Dynamics of competition. Zbl 1002.92564
Smith, H. L.
24
1999
How many species can two essential resources support? Zbl 0992.92040
Li, Bingtuan; Smith, Hal
23
2001
Competition in an \(n\)-vessel gradostat. Zbl 0749.92024
Smith, H. L.; Tang, Betty; Waltman, Paul
23
1991
Dynamics of stoichiometric bacteria-algae interactions in the epilimnion. Zbl 1133.92031
Wang, Hao; Smith, Hal L.; Kuang, Yang; Elser, James J.
22
2007
The discrete dynamics of monotonically decomposable maps. Zbl 1118.65057
Smith, H. L.
22
2006
A structured population model and a related functional differential equation: Global attractors and uniform persistence. Zbl 0794.34061
Smith, Hal L.
22
1994
Positive solutions and conjugate points for systems of differential equations. Zbl 0379.34015
Schmitt, K.; Smith, H. L.
22
1978
Stable periodic solutions for the hypercycle system. Zbl 0729.34032
Hofbauer, J.; Mallet-Paret, J.; Smith, H. L.
21
1991
Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088
Le Dung; Smith, Hal L.
21
1999
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
20
2006
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
18
2006
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
18
2003
Lyapunov exponents and persistence in discrete dynamical systems. Zbl 1175.34067
Salceanu, Paul L.; Smith, H. L.
17
2009
Periodic tridiagonal competitive and cooperative systems of differential equations. Zbl 0746.34030
Smith, Hal L.
17
1991
Competition in the chemostat: some remarks. Zbl 1132.92341
De Leenheer, Patrick; Li, Bingtuan; Smith, Hal L.
17
2003
Traveling waves in a bio-reactor model. Zbl 1079.35011
Smith, Hal L.; Zhao, Xiao-Qiang
17
2004
The Freter model: A simple model of biofilm formation. Zbl 1023.92010
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
17
2003
Global dynamics of microbial competition for two resources with internal storage. Zbl 1125.92058
Li, Bingtuan; Smith, Hal L.
16
2007
The periodically forced Droop model for phytoplankton growth in a chemostat. Zbl 0878.92032
Smith, H. L.
16
1997
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
16
2013
Global stability for mixed monotone systems. Zbl 1162.39009
Smith, H. L.
15
2008
Competition in the gradostat: The role of the communication rate. Zbl 0716.92025
Smith, Hal; Tang, Betty
14
1989
Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059
Smith, H. L.; Zhao, X.-Q.
14
2001
Existence and uniqueness of global solutions for a size-structured model of an insect population with variable instar duration. Zbl 0810.92022
Smith, Hal L.
14
1994
Persistence and critical domain size for diffusing populations with two sexes and short reproductive season. Zbl 1369.92097
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
14
2016
Monotone dynamical systems: reflections on new advances & applications. Zbl 1357.34002
Smith, Hal L.
14
2017
A resource-based model of microbial quiescence. Zbl 1098.92067
Malik, Tufail; Smith, Hal
13
2006
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
13
2012
Competition for essential resources: a brief review. Zbl 1162.92334
Smith, Hal L.; Li, Bingtuan
12
2003
Microbial competition for nutrient and wall sites in plug flow. Zbl 1013.92047
Jones, Don A.; Smith, Hal
12
2000
The pharmacodynamics of antibiotic treatment. Zbl 1111.92033
Mudassar, Imran; Smith, Hal
12
2006
A discrete, size-structured model of microbial growth and competition in the chemostat. Zbl 0884.92029
Smith, H. L.
12
1996
Models of virulent phage growth with application to phage therapy. Zbl 1151.92316
Smith, Hal L.
12
2008
An abstract threshold theorem for one parameter families of positive noncompact operators. Zbl 0476.47041
Smith, Hal L.
12
1981
Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches. Zbl 0731.92029
Kuang, Y.; Smith, H. L.; Martin, R. H.
11
1991
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
11
2008
Competition in a chemostat with wall attachment. Zbl 0992.92017
Stemmons, Eric D.; Smith, Hal L.
11
2000
Periodic coexistence of four species competing for three essential resources. Zbl 1018.92031
Li, Bingtuan; Smith, Hal L.
11
2003
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
11
2013
Does dormancy increase fitness of bacterial populations in time-varying environments? Zbl 1142.92045
Malik, Tufail; Smith, Hal L.
10
2008
Persistence in a discrete-time, stage-structured epidemic model. Zbl 1182.92063
Salceanu, Paul Leonard; Smith, Hal L.
10
2010
Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks. Zbl 0807.35149
Kuang, Yang; Smith, Hal L.
10
1993
Equivalent dynamics for a structured population model and a related functional differential equation. Zbl 0835.34090
Smith, Hal L.
9
1995
Stable periodic orbits for a predator-prey model with delay. Zbl 0997.92035
Cavani, Mario; Lizana, Marcos; Smith, Hal L.
9
2000
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
3
2020
A mathematical model of oncolytic virotherapy with time delay. Zbl 1501.92062
Wang, Zizi; Guo, Zhiming; Smith, Hal
7
2019
Strong cooperation or tragedy of the commons in the chemostat. Zbl 1497.92163
De Leenheer, Patrick; Schuster, Martin; Smith, Hal
1
2019
Dynamics of virus and immune response in multi-epitope network. Zbl 1404.92144
Browne, Cameron J.; Smith, Hal L.
1
2018
Monotone dynamical systems: reflections on new advances & applications. Zbl 1357.34002
Smith, Hal L.
14
2017
Persistence in phage-bacteria communities with nested and one-to-one infection networks. Zbl 1360.92100
Korytowski, Dan A.; Smith, Hal L.
6
2017
Competition in the chemostat with time-dependent differential removal rates. Zbl 1372.92061
Fan, Guihong; Smith, Hal L.; Thieme, Horst R.
2
2017
Permanence and stability of a kill the winner model in marine ecology. Zbl 1368.92145
Korytowski, Daniel A.; Smith, Hal
1
2017
Persistence and critical domain size for diffusing populations with two sexes and short reproductive season. Zbl 1369.92097
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
14
2016
Persistence versus extinction for a class of discrete-time structured population models. Zbl 1347.37126
Jin, Wen; Smith, Hal L.; Thieme, Horst R.
8
2016
Spread of phage infection of bacteria in a petri dish. Zbl 1336.92082
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
2
2016
A special class of Lotka-Volterra models of bacteria-virus infection networks. Zbl 1367.92120
Korytowski, Daniel A.; Smith, Hal L.
2
2016
Existence and uniqueness of similarity solutions of a generalized heat equation arising in a model of cell migration. Zbl 1336.35100
Stepien, Tracy L.; Smith, Hal L.
1
2015
A model of optimal dosing of antibiotic treatment in biofilm. Zbl 1298.92050
Imran, Mudassar; Smith, Hal L.
5
2014
Niche partitioning along an environmental gradient. Zbl 1345.92162
Klapper, Isaac; Dockery, Jack; Smith, Hal
2
2014
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
16
2013
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
11
2013
Spread of viral infection of immobilized bacteria. Zbl 1267.92050
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
4
2013
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
13
2012
Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat. Zbl 1260.92115
Han, Zhun; Smith, Hal L.
9
2012
Global dynamics of the smallest chemical reaction system with Hopf bifurcation. Zbl 1306.92082
Smith, Hal L.
5
2012
Global dynamics of a discrete two-species Lottery-Ricker competition model. Zbl 1448.92205
Kang, Yun; Smith, Hal
5
2012
On spread of phage infection of bacteria in a Petri dish. Zbl 1243.92041
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.; Röst, Gergely
4
2012
Allelopathy of plasmid-bearing and plasmid-free organisms competing for two complementary resources in a chemostat. Zbl 1447.92234
Bhattacharyya, Joydeb; Smith, Hal L.; Pal, Samares
1
2012
An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001
Smith, Hal
338
2011
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
269
2011
Bacterial competition in serial transfer culture. Zbl 1208.92092
Smith, Hal L.
4
2011
Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor. Zbl 1228.34121
Smith, Hal L.
3
2011
Bacteriophage and bacteria in a flow reactor. Zbl 1334.92258
Jones, Don A.; Smith, Hal L.
2
2011
A reaction-diffusion system with time-delay modeling virus plaque formation. Zbl 1496.35400
Smith, Hal L.; Thieme, Horst R.
1
2011
Persistence in a discrete-time, stage-structured epidemic model. Zbl 1182.92063
Salceanu, Paul Leonard; Smith, Hal L.
10
2010
Lyapunov exponents and persistence in discrete dynamical systems. Zbl 1175.34067
Salceanu, Paul L.; Smith, H. L.
17
2009
Persistence in a discrete-time stage-structured fungal disease model. Zbl 1342.92278
Salceanu, Paul Leonard; Smith, Hal L.
5
2009
Lyapunov exponents and uniform weak normally repelling invariant sets. Zbl 1185.37054
Salceanu, Paul Leonard; Smith, Hal L.
3
2009
Bacteriophage infection dynamics: multiple host binding sites. Zbl 1183.92075
Smith, H. L.; Trevino, R. T.
3
2009
The theory of the chemostat. Dynamics of microbial competition. Reprint of the 1995 hardback ed. Zbl 1139.92029
Smith, Hal L.; Waltman, Paul
73
2008
Global stability for mixed monotone systems. Zbl 1162.39009
Smith, H. L.
15
2008
Models of virulent phage growth with application to phage therapy. Zbl 1151.92316
Smith, Hal L.
12
2008
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
11
2008
Does dormancy increase fitness of bacterial populations in time-varying environments? Zbl 1142.92045
Malik, Tufail; Smith, Hal L.
10
2008
Dynamics of stoichiometric bacteria-algae interactions in the epilimnion. Zbl 1133.92031
Wang, Hao; Smith, Hal L.; Kuang, Yang; Elser, James J.
22
2007
Global dynamics of microbial competition for two resources with internal storage. Zbl 1125.92058
Li, Bingtuan; Smith, Hal L.
16
2007
The dynamics of bacterial infection, innate immune response, and antibiotic treatment. Zbl 1128.92017
Imran, Mudassar; Smith, H. L.
6
2007
The discrete dynamics of monotonically decomposable maps. Zbl 1118.65057
Smith, H. L.
22
2006
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
20
2006
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
18
2006
A resource-based model of microbial quiescence. Zbl 1098.92067
Malik, Tufail; Smith, Hal
13
2006
The pharmacodynamics of antibiotic treatment. Zbl 1111.92033
Mudassar, Imran; Smith, Hal
12
2006
Multiple limit cycles in the standard model of three species competition for three essential resources. Zbl 1110.92046
Baer, Steven M.; Li, Bingtuan; Smith, Hal L.
7
2006
Monotone dynamical systems. Zbl 1094.34003
Hirsch, M. W.; Smith, Hal
120
2005
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
48
2005
Biofilms and the plasmid maintenance question. Zbl 1064.92044
Imran, Mudassar; Jones, Don; Smith, Hal
3
2005
Traveling waves in a bio-reactor model. Zbl 1079.35011
Smith, Hal L.; Zhao, Xiao-Qiang
17
2004
Generic quasi-convergence for strongly order preserving semiflows: a new approach. Zbl 1074.34042
Hirsch, Morris W.; Smith, Hal L.
5
2004
Virus dynamics: a global analysis. Zbl 1035.34045
De Leenheer, Patrick; Smith, Hal L.
222
2003
Feedback control for chemostat models. Zbl 1015.92046
De Leenheer, Patrick; Smith, Hal
53
2003
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
18
2003
Competition in the chemostat: some remarks. Zbl 1132.92341
De Leenheer, Patrick; Li, Bingtuan; Smith, Hal L.
17
2003
The Freter model: A simple model of biofilm formation. Zbl 1023.92010
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
17
2003
Competition for essential resources: a brief review. Zbl 1162.92334
Smith, Hal L.; Li, Bingtuan
12
2003
Periodic coexistence of four species competing for three essential resources. Zbl 1018.92031
Li, Bingtuan; Smith, Hal L.
11
2003
Bacterial wall attachment in a flow reactor. Zbl 1017.92034
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
8
2002
Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains. Zbl 1072.35503
Le, Dung; Smith, Hal
8
2002
Bacterial wall attachment in flow reactor: Mixed culture. Zbl 1027.92028
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
3
2002
Robust persistence for semidynamical systems. Zbl 1042.37504
Smith, Hal L.; Zhao, Xiao-Qiang
197
2001
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
127
2001
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
106
2001
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075
Smith, H. L.; Thieme, H. R.
24
2001
How many species can two essential resources support? Zbl 0992.92040
Li, Bingtuan; Smith, Hal
23
2001
Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059
Smith, H. L.; Zhao, X.-Q.
14
2001
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
143
2000
Microbial competition for nutrient and wall sites in plug flow. Zbl 1013.92047
Jones, Don A.; Smith, Hal
12
2000
Competition in a chemostat with wall attachment. Zbl 0992.92017
Stemmons, Eric D.; Smith, Hal L.
11
2000
Stable periodic orbits for a predator-prey model with delay. Zbl 0997.92035
Cavani, Mario; Lizana, Marcos; Smith, Hal L.
9
2000
Microbial growth in a plug flow reactor with wall adherence and cell motility. Zbl 0999.92039
Smith, Hal; Zhao, Xiao-Qiang
6
2000
A semilinear hyperbolic system. Zbl 0971.35048
Smith, Hal
3
2000
Competition in the periodic gradostat. Zbl 1004.92036
Smith, H. L.; Waltman, Paul
2
2000
Effects of random motility on microbial growth and competition in a flow reactor. Zbl 1051.92039
Ballyk, Mary; Dung, Le; Jones, Don A.; Smith, Hal L.
83
1999
Perturbation of a globally stable steady state. Zbl 0924.58087
Smith, H. L.; Waltman, P.
51
1999
Dynamics of a periodically pulsed bio-reactor model. Zbl 0930.35085
Smith, Hal L.; Zhao, Xiao-Qiang
31
1999
A model of microbial growth in a plug flow reactor with wall attachment. Zbl 0980.92034
Ballyk, Mary; Smith, Hal
29
1999
Dynamics of competition. Zbl 1002.92564
Smith, H. L.
24
1999
Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088
Le Dung; Smith, Hal L.
21
1999
Growth in the unstirred chemostat with different diffusion rates. Zbl 0920.35076
Le Dung; Smith, Hal L.; Waltman, P.
8
1999
Competition between plasmid-bearing and plasmid-free microorganisms in a chemostat with distinct removal rates. Zbl 0977.92030
Li, Bingtuan; Kuang, Yang; Smith, Hal L.
3
1999
Mathematics inspired by biology. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Martina Franca, Italy, June 13–20, 1997. Zbl 0930.00085
Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L.
2
1999
Planar competitive and cooperative difference equations. Zbl 0907.39004
Smith, H. L.
122
1998
A flow reactor with wall growth. Zbl 0929.92034
Ballyk, Mary M.; Smith, Hal L.
3
1998
Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems. Zbl 0872.34047
Zhao, Tao; Kuang, Yang; Smith, H. L.
66
1997
The periodically forced Droop model for phytoplankton growth in a chemostat. Zbl 0878.92032
Smith, H. L.
16
1997
Complicated dynamics for low-dimensional strongly monotone maps. Zbl 0893.54034
Smith, H. L.
6
1997
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
124
1996
A parabolic system modeling microbial competition in an unmixed bio-reactor. Zbl 0865.35017
Le Dung; Smith, Hal L.
43
1996
A discrete, size-structured model of microbial growth and competition in the chemostat. Zbl 0884.92029
Smith, H. L.
12
1996
Competition in an unstirred multi-dimensional chemostat. Zbl 0934.35074
Smith, Hal L.; Waltman, Paul
4
1996
An application of monotone systems theory to a model of microbial competition. Zbl 0858.92030
Smith, Hal L.
2
1996
Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Zbl 0821.34003
Smith, Hal L.
1995
The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031
Smith, Hal L.; Waltman, Paul
525
1995
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
107
1995
Equivalent dynamics for a structured population model and a related functional differential equation. Zbl 0835.34090
Smith, Hal L.
9
1995
...and 69 more Documents
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Cited by 4,710 Authors

87 Zhao, Xiao-Qiang
78 Smith, Hal Leslie
70 Wu, Jianhong
59 Chen, Lansun
52 Teng, Zhi-dong
51 Wang, Feng-Bin
51 Zou, Xingfu
50 Jiang, Jifa
44 Wang, Jinliang
40 Li, Wan-Tong
38 Kulenović, Mustafa R. S.
37 Ruan, Shigui
36 Lou, Yuan
34 Hsu, Szebi
34 Ma, Wanbiao
34 Yuan, Rong
33 Kuniya, Toshikazu
33 Thieme, Horst R.
32 Nie, Hua
30 Chen, Yuming
30 Takeuchi, Yasuhiro
30 Wang, Wendi
30 Wang, Yi
29 Lin, Guo
29 Xu, Rui
28 Jiang, Daqing
28 Wu, Shiliang
27 Liu, Shengqiang
27 Rapaport, Alain
26 Li, Xuezhi
26 Obaya, Rafael
26 Sontag, Eduardo D.
26 Wang, Hao
26 Wu, Jianhua
26 Yuan, Sanling
25 Jin, Zhen
25 Lam, King-Yeung
25 Qiu, Zhipeng
24 Liu, Xianning
24 Shi, Junping
24 Wang, Zhi Cheng
24 Wei, Junjie
23 Kuang, Yang
23 Song, Xinyu
21 Elaiw, Ahmed M.
21 Gouzé, Jean-Luc
21 Wang, Wei
20 Guo, Shangjiang
20 Huang, Lihong
20 Jang, Sophia R.-J.
20 Wang, Lin
19 Ackleh, Azmy S.
19 De Leenheer, Patrick
19 Faria, Teresa
19 Gourley, Stephen A.
19 Huo, Hai-Feng
19 Liu, Zhijun
19 Lou, Yijun
19 Weng, Peixuan
19 Wolkowicz, Gail S. K.
19 Yi, Taishan
19 Zhang, Tonghua
18 Cui, Jingan
18 Sari, Tewfik
18 Xiao, Yanni
18 Zhang, Long
17 Cai, Liming
17 Caraballo Garrido, Tomás
17 Gumel, Abba B.
17 Martcheva, Maia
17 Pan, Shuxia
17 Ruiz-Herrera, Alfonso
17 Sanz, Ana M.
17 Yang, Yu
16 Gao, Daozhou
16 Lutscher, Frithjof
16 Niu, Lei
15 Bai, Zhenguo
15 Feng, Zhaosheng
15 Gyllenberg, Mats
15 Hsu, Cheng-Hsiung
15 Liu, Rongsong
15 Meng, Xinzhu
15 Röst, Gergely
15 Trofimchuk, Sergei I.
15 Yang, Junyuan
14 Gedeon, Tomáš
14 Huang, Chuangxia
14 Li, Michael Yi
14 Shu, Hongying
14 Touaoula, Tarik Mohamed
14 Zhou, Yicang
13 Angeli, David
13 Chen, Shanshan
13 Liu, Junli
13 Mierczyński, Janusz
13 Rong, Libin
13 Wang, Jinfeng
13 Wang, Kaifa
13 Wang, Xia
...and 4,610 more Authors
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Cited in 356 Serials

259 Journal of Differential Equations
237 Journal of Mathematical Analysis and Applications
211 Journal of Mathematical Biology
189 Nonlinear Analysis. Real World Applications
185 Discrete and Continuous Dynamical Systems. Series B
181 Applied Mathematics and Computation
163 Mathematical Biosciences
127 Mathematical Biosciences and Engineering
123 Bulletin of Mathematical Biology
99 Journal of Dynamics and Differential Equations
93 Journal of Biological Dynamics
90 International Journal of Biomathematics
80 Advances in Difference Equations
77 Chaos, Solitons and Fractals
69 Communications in Nonlinear Science and Numerical Simulation
68 Journal of Theoretical Biology
65 Journal of Difference Equations and Applications
61 Automatica
61 Applied Mathematics Letters
55 Applied Mathematical Modelling
54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Mathematical Methods in the Applied Sciences
53 Discrete Dynamics in Nature and Society
51 Computers & Mathematics with Applications
50 SIAM Journal on Applied Mathematics
44 Proceedings of the American Mathematical Society
43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
43 Discrete and Continuous Dynamical Systems
43 Abstract and Applied Analysis
38 Journal of Computational and Applied Mathematics
37 Journal of Applied Mathematics and Computing
35 Communications on Pure and Applied Analysis
33 Applicable Analysis
33 Nonlinear Analysis. Theory, Methods & Applications
32 Physica D
31 Physica A
31 ZAMP. Zeitschrift für angewandte Mathematik und Physik
31 Theoretical Population Biology
31 Journal of Biological Systems
30 Systems & Control Letters
29 Nonlinear Dynamics
28 Journal of the Franklin Institute
27 Mathematical and Computer Modelling
26 Mathematics and Computers in Simulation
26 SIAM Journal on Applied Dynamical Systems
24 Differential Equations and Dynamical Systems
22 Journal of Nonlinear Science
21 Journal of Mathematical Chemistry
21 Journal of Applied Analysis and Computation
20 Rocky Mountain Journal of Mathematics
20 Discrete and Continuous Dynamical Systems. Series S
19 Nonlinearity
17 European Journal of Applied Mathematics
17 Computational and Applied Mathematics
17 Qualitative Theory of Dynamical Systems
16 International Journal of Control
16 Transactions of the American Mathematical Society
16 Complexity
15 Acta Applicandae Mathematicae
14 Electronic Journal of Differential Equations (EJDE)
13 SIAM Journal on Control and Optimization
13 Mathematical Problems in Engineering
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12 Acta Mathematicae Applicatae Sinica. English Series
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7 Applied Mathematics. Series B (English Edition)
7 Nonlinear Analysis. Modelling and Control
7 Journal of Evolution Equations
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 International Journal of Differential Equations
7 Nonautonomous Dynamical Systems
6 Studies in Applied Mathematics
6 Ergodic Theory and Dynamical Systems
6 Applied Mathematics and Mechanics. (English Edition)
6 MCSS. Mathematics of Control, Signals, and Systems
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 International Journal of Computer Mathematics
6 Calculus of Variations and Partial Differential Equations
6 Wuhan University Journal of Natural Sciences (WUJNS)
6 Dynamical Systems
6 Stochastics and Dynamics
...and 256 more Serials
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Cited in 52 Fields

3,311 Biology and other natural sciences (92-XX)
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889 Dynamical systems and ergodic theory (37-XX)
346 Systems theory; control (93-XX)
210 Numerical analysis (65-XX)
195 Difference and functional equations (39-XX)
184 Operator theory (47-XX)
178 Probability theory and stochastic processes (60-XX)
114 Integral equations (45-XX)
93 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
85 Calculus of variations and optimal control; optimization (49-XX)
36 Computer science (68-XX)
32 Statistical mechanics, structure of matter (82-XX)
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28 Operations research, mathematical programming (90-XX)
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8 Measure and integration (28-XX)
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5 Optics, electromagnetic theory (78-XX)
4 General and overarching topics; collections (00-XX)
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3 Mathematical logic and foundations (03-XX)
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3 Mathematics education (97-XX)
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