×
Compute Distance To:
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
6 Rocky Mountain Journal of Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
6 Nonlinear Analysis. Theory, Methods & Applications
5 Mathematical Biosciences
5 The Canadian Applied Mathematics Quarterly
4 Journal of Difference Equations and Applications
4 Discrete and Continuous Dynamical Systems
4 Mathematical Biosciences and Engineering
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

162 Publications have been cited 6,017 times in 3,974 Documents Cited by Year
Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Zbl 0821.34003
Smith, Hal L.
785
1995
The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031
Smith, Hal L.; Waltman, Paul
466
1995
Abstract functional differential equations and reaction-diffusion systems. Zbl 0722.35046
Martin, R. H. jun.; Smith, H. L.
313
1990
An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001
Smith, Hal
243
2011
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
203
2011
Virus dynamics: a global analysis. Zbl 1035.34045
De Leenheer, Patrick; Smith, Hal L.
199
2003
Robust persistence for semidynamical systems. Zbl 1042.37504
Smith, Hal L.; Zhao, Xiao-Qiang
156
2001
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
121
2000
Planar competitive and cooperative difference equations. Zbl 0907.39004
Smith, H. L.
115
1998
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
114
2001
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
108
1996
Cooperative systems of differential equations with concave nonlinearities. Zbl 0612.34035
Smith, H. L.
107
1986
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
101
1995
Global stability for infinite delay Lotka–Volterra type systems. Zbl 0786.34077
Kuang, Y.; Smith, H. L.
100
1993
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
99
2001
Systems of ordinary differential equations which generate an order preserving flow. A survey of results. Zbl 0674.34012
Smith, Hal L.
96
1988
Monotone dynamical systems. Zbl 1094.34003
Hirsch, M. W.; Smith, Hal
93
2005
The Poincaré-Bendixson theorem for monotone cyclic feedback systems. Zbl 0712.34060
Mallet-Paret, John; Smith, Hal L.
91
1990
Monotone semiflows generated by functional differential equations. Zbl 0612.34067
Smith, Hal
91
1987
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
85
1983
Reaction-diffusion systems with time delays: Monotonicity, invariance, comparison and convergence. Zbl 0709.35059
Martin, R. H. jun.; Smith, H. L.
79
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.
74
1999
The theory of the chemostat. Dynamics of microbial competition. Reprint of the 1995 hardback ed. Zbl 1139.92029
Smith, Hal L.; Waltman, Paul
70
2008
Competitive coexistence in an oscillating chemostat. Zbl 0467.92018
Smith, Hal L.
68
1981
Periodic competitive differential equations and the discrete dynamics of competitive maps. Zbl 0596.34013
Smith, Hal L.
64
1986
Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065
Smith, Hal L.; Thieme, Horst R.
64
1991
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.
63
1997
Perturbation of a globally stable steady state. Zbl 0924.58087
Smith, H. L.; Waltman, P.
49
1999
Feedback control for chemostat models. Zbl 1015.92046
De Leenheer, Patrick; Smith, Hal
47
2003
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
46
2005
Periodic solutions of periodic competitive and cooperative systems. Zbl 0609.34048
Smith, Hal L.
44
1986
A parabolic system modeling microbial competition in an unmixed bio-reactor. Zbl 0865.35017
Le Dung; Smith, Hal L.
43
1996
Slowly oscillating periodic solutions of autonomous state-dependent delay equations. Zbl 0774.34054
Kuang, Y.; Smith, H. L.
43
1992
Convergence for strongly order-preserving semiflows. Zbl 0739.34040
Smith, Hal L.; Thieme, Horst R.
41
1991
On the asymptotic behavior of a class of deterministic models of cooperating species. Zbl 0607.92023
Smith, Hal L.
40
1986
Subharmonic bifurcation in an S-I-R epidemic model. Zbl 0578.92023
Smith, H. L.
39
1983
Periodic solutions of differential delay equations with threshold-type delays. Zbl 0762.34044
Smith, H. L.; Kuang, Y.
38
1992
Competing subcommunities of mutualists and a generalized Kamke theorem. Zbl 0609.92033
Smith, Hal L.
37
1986
Reduction of structured population models to threshold-type delay equations and functional differential equations: A case study. Zbl 0797.92024
Smith, Hal L.
36
1993
Dynamics of competition in the unstirred chemostat. Zbl 0831.92028
Hsu, S. B.; Smith, H. L.; Waltman, Paul
35
1994
Quasi convergence and stability for strongly order-preserving semiflows. Zbl 0704.34054
Smith, Hal L.; Thieme, Horst R.
32
1990
Invariant curves for mappings. Zbl 0606.47056
Smith, Hal L.
32
1986
Multiple stable subharmonics for a periodic epidemic model. Zbl 0529.92018
Smith, H. L.
32
1983
The interaction of steady state and Hopf bifurcations in a two-predator- one-prey competition model. Zbl 0489.92019
Smith, Hal L.
30
1982
On periodic solutions of a delay integral equation modelling epidemics. Zbl 0354.92035
Smith, H. L.
30
1977
Dynamics of a periodically pulsed bio-reactor model. Zbl 0930.35085
Smith, Hal L.; Zhao, Xiao-Qiang
30
1999
Stable periodic orbits for a class of three dimensional competitive systems. Zbl 0802.34064
Zhu, Hsiu-Rong; Smith, Hal L.
30
1994
Competition for a single limiting resource in continuous culture: The variable-yield model. Zbl 0829.92020
Smith, Hal L.; Waltman, Paul
30
1994
Monotone semiflows in scalar non-quasi-monotone functional differential equations. Zbl 0719.34123
Smith, Hal L.; Thieme, Horst R.
28
1990
Periodic orbits of competitive and cooperative systems. Zbl 0615.34027
Smith, Hal L.
28
1986
Oscillations and multiple steady states in a cyclic gene model with repression. Zbl 0619.92004
Smith, Hal
28
1987
A model of microbial growth in a plug flow reactor with wall attachment. Zbl 0980.92034
Ballyk, Mary; Smith, Hal
28
1999
On eigenvalue problems for nondifferentiable mappings. Zbl 0389.34019
Schmitt, K.; Smith, H. L.
28
1979
Fixed point techniques in a cone with applications. Zbl 0435.47060
Gatica, J. A.; Smith, Hal L.
28
1977
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
24
2001
Global stability in diffusive delay Lotka-Volterra systems. Zbl 0752.34041
Kuang, Y.; Smith, H. L.
22
1991
Competition in an \(n\)-vessel gradostat. Zbl 0749.92024
Smith, H. L.; Tang, Betty; Waltman, Paul
22
1991
The discrete dynamics of monotonically decomposable maps. Zbl 1118.65057
Smith, H. L.
21
2006
Positive solutions and conjugate points for systems of differential equations. Zbl 0379.34015
Schmitt, K.; Smith, H. L.
21
1978
Stable periodic solutions for the hypercycle system. Zbl 0729.34032
Hofbauer, J.; Mallet-Paret, J.; Smith, H. L.
20
1991
Dynamics of stoichiometric bacteria-algae interactions in the epilimnion. Zbl 1133.92031
Wang, Hao; Smith, Hal L.; Kuang, Yang; Elser, James J.
20
2007
Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088
Le Dung; Smith, Hal L.
20
1999
A structured population model and a related functional differential equation: Global attractors and uniform persistence. Zbl 0794.34061
Smith, Hal L.
20
1994
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
19
2006
Dynamics of competition. Zbl 1002.92564
Smith, H. L.
18
1999
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 periodically forced Droop model for phytoplankton growth in a chemostat. Zbl 0878.92032
Smith, H. L.
16
1997
The Freter model: A simple model of biofilm formation. Zbl 1023.92010
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
16
2003
Periodic tridiagonal competitive and cooperative systems of differential equations. Zbl 0746.34030
Smith, Hal L.
16
1991
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
16
2006
Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099
Smith, Hal L.; Thieme, Horst R.
15
2013
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
15
2003
Global dynamics of microbial competition for two resources with internal storage. Zbl 1125.92058
Li, Bingtuan; Smith, Hal L.
15
2007
Lyapunov exponents and persistence in discrete dynamical systems. Zbl 1175.34067
Salceanu, Paul L.; Smith, H. L.
15
2009
Competition in the gradostat: The role of the communication rate. Zbl 0716.92025
Smith, Hal; Tang, Betty
14
1989
Global stability for mixed monotone systems. Zbl 1162.39009
Smith, H. L.
13
2008
Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059
Smith, H. L.; Zhao, X.-Q.
13
2001
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.
12
2016
Competition for essential resources: a brief review. Zbl 1162.92334
Smith, Hal L.; Li, Bingtuan
12
2003
An abstract threshold theorem for one parameter families of positive noncompact operators. Zbl 0476.47041
Smith, Hal L.
12
1981
A resource-based model of microbial quiescence. Zbl 1098.92067
Malik, Tufail; Smith, Hal
12
2006
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.
12
1994
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
Microbial competition for nutrient and wall sites in plug flow. Zbl 1013.92047
Jones, Don A.; Smith, Hal
11
2000
Competition in a chemostat with wall attachment. Zbl 0992.92017
Stemmons, Eric D.; Smith, Hal L.
11
2000
A discrete, size-structured model of microbial growth and competition in the chemostat. Zbl 0884.92029
Smith, H. L.
11
1996
Periodic coexistence of four species competing for three essential resources. Zbl 1018.92031
Li, Bingtuan; Smith, Hal L.
11
2003
Models of virulent phage growth with application to phage therapy. Zbl 1151.92316
Smith, Hal L.
11
2008
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
11
2012
The pharmacodynamics of antibiotic treatment. Zbl 1111.92033
Mudassar, Imran; Smith, Hal
10
2006
Does dormancy increase fitness of bacterial populations in time-varying environments? Zbl 1142.92045
Malik, Tufail; Smith, Hal L.
10
2008
Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks. Zbl 0807.35149
Kuang, Yang; Smith, Hal L.
10
1993
Persistence in a discrete-time, stage-structured epidemic model. Zbl 1182.92063
Salceanu, Paul Leonard; Smith, Hal L.
10
2010
Hopf bifurcation in a system of functional equations modeling the spread of an infectious disease. Zbl 0524.92019
Smith, Hal
9
1983
Stable periodic orbits for a predator-prey model with delay. Zbl 0997.92035
Cavani, Mario; Lizana, Marcos; Smith, Hal L.
9
2000
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
9
2013
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
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
8
2008
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.
2
2020
Monotone dynamical systems: reflections on new advances & applications. Zbl 1357.34002
Smith, Hal L.
8
2017
Persistence in phage-bacteria communities with nested and one-to-one infection networks. Zbl 1360.92100
Korytowski, Dan A.; Smith, Hal L.
5
2017
Competition in the chemostat with time-dependent differential removal rates. Zbl 1372.92061
Fan, Guihong; Smith, Hal L.; Thieme, Horst R.
1
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.
12
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.
1
2016
A model of optimal dosing of antibiotic treatment in biofilm. Zbl 1298.92050
Imran, Mudassar; Smith, Hal L.
4
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.
15
2013
Chemostats and epidemics: competition for nutrients/hosts. Zbl 1273.92039
Smith, Hal L.; Thieme, Horst R.
9
2013
Spread of viral infection of immobilized bacteria. Zbl 1267.92050
Jones, Don A.; Smith, Hal L.; Thieme, Horst R.
3
2013
Persistence of bacteria and phages in a chemostat. Zbl 1303.92123
Smith, Hal L.; Thieme, Horst R.
11
2012
Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat. Zbl 1260.92115
Han, Zhun; Smith, Hal L.
7
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
Global dynamics of the smallest chemical reaction system with Hopf bifurcation. Zbl 1306.92082
Smith, Hal L.
3
2012
Global dynamics of a discrete two-species Lottery-Ricker competition model. Zbl 1448.92205
Kang, Yun; Smith, Hal
1
2012
An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001
Smith, Hal
243
2011
Dynamical systems and population persistence. Zbl 1214.37002
Smith, Hal L.; Thieme, Horst R.
203
2011
Bacterial competition in serial transfer culture. Zbl 1208.92092
Smith, Hal L.
3
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
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.
15
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
70
2008
Global stability for mixed monotone systems. Zbl 1162.39009
Smith, H. L.
13
2008
Models of virulent phage growth with application to phage therapy. Zbl 1151.92316
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
Prevalent behavior of strongly order preserving semiflows. Zbl 1178.37014
Enciso, Germán A.; Hirsch, Morris W.; Smith, Hal L.
8
2008
Dynamics of stoichiometric bacteria-algae interactions in the epilimnion. Zbl 1133.92031
Wang, Hao; Smith, Hal L.; Kuang, Yang; Elser, James J.
20
2007
Global dynamics of microbial competition for two resources with internal storage. Zbl 1125.92058
Li, Bingtuan; Smith, Hal L.
15
2007
The dynamics of bacterial infection, innate immune response, and antibiotic treatment. Zbl 1128.92017
Imran, Mudassar; Smith, H. L.
4
2007
The discrete dynamics of monotonically decomposable maps. Zbl 1118.65057
Smith, H. L.
21
2006
Nonmonotone systems decomposable into monotone systems with negative feedback. Zbl 1103.34021
Enciso, G. A.; Smith, H. L.; Sontag, E. D.
19
2006
Asymptotically stable equilibria for monotone semiflows. Zbl 1110.37061
Hirsch, M. W.; Smith, H. L.
16
2006
A resource-based model of microbial quiescence. Zbl 1098.92067
Malik, Tufail; Smith, Hal
12
2006
The pharmacodynamics of antibiotic treatment. Zbl 1111.92033
Mudassar, Imran; Smith, Hal
10
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
93
2005
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
46
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.
199
2003
Feedback control for chemostat models. Zbl 1015.92046
De Leenheer, Patrick; Smith, Hal
47
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
16
2003
Competitive and cooperative systems: mini-review. Zbl 1134.92358
Hirsch, Morris W.; Smith, Hal L.
15
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
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 a flow reactor. Zbl 1017.92034
Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal
7
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
156
2001
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
114
2001
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
99
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
24
2001
Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059
Smith, H. L.; Zhao, X.-Q.
13
2001
Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125
Smith, Hal L.; Zhao, Xiao-Qiang
121
2000
Microbial competition for nutrient and wall sites in plug flow. Zbl 1013.92047
Jones, Don A.; Smith, Hal
11
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
Competition in the periodic gradostat. Zbl 1004.92036
Smith, H. L.; Waltman, Paul
2
2000
A semilinear hyperbolic system. Zbl 0971.35048
Smith, Hal
1
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.
74
1999
Perturbation of a globally stable steady state. Zbl 0924.58087
Smith, H. L.; Waltman, P.
49
1999
Dynamics of a periodically pulsed bio-reactor model. Zbl 0930.35085
Smith, Hal L.; Zhao, Xiao-Qiang
30
1999
A model of microbial growth in a plug flow reactor with wall attachment. Zbl 0980.92034
Ballyk, Mary; Smith, Hal
28
1999
Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088
Le Dung; Smith, Hal L.
20
1999
Dynamics of competition. Zbl 1002.92564
Smith, H. L.
18
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.
2
1999
Planar competitive and cooperative difference equations. Zbl 0907.39004
Smith, H. L.
115
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.
63
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.
4
1997
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033
Hsu, S. B.; Smith, H. L.; Waltman, Paul
108
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.
11
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.
785
1995
The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031
Smith, Hal L.; Waltman, Paul
466
1995
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R.
101
1995
Equivalent dynamics for a structured population model and a related functional differential equation. Zbl 0835.34090
Smith, Hal L.
7
1995
On the existence and stability of bounded almost periodic and periodic solutions of a singularly perturbed nonautonomous system. Zbl 0835.34071
Smith, Hal L.
7
1995
Tridiagonal competitive-cooperative Kolmogorov systems. Zbl 0870.92018
Freedman, H. I.; Smith, H. L.
1
1995
Dynamics of competition in the unstirred chemostat. Zbl 0831.92028
Hsu, S. B.; Smith, H. L.; Waltman, Paul
35
1994
Stable periodic orbits for a class of three dimensional competitive systems. Zbl 0802.34064
Zhu, Hsiu-Rong; Smith, Hal L.
30
1994
Competition for a single limiting resource in continuous culture: The variable-yield model. Zbl 0829.92020
Smith, Hal L.; Waltman, Paul
30
1994
A structured population model and a related functional differential equation: Global attractors and uniform persistence. Zbl 0794.34061
Smith, Hal L.
20
1994
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.
12
1994
...and 62 more Documents
all top 5

Cited by 4,010 Authors

80 Zhao, Xiao-Qiang
77 Smith, Hal Leslie
60 Wu, Jianhong
59 Chen, Lansun
46 Wang, Feng-Bin
44 Jiang, Jifa
44 Zou, Xingfu
43 Teng, Zhi-dong
40 Li, Wan-Tong
38 Kulenović, Mustafa R. S.
36 Ruan, Shigui
34 Hsu, Szebi
33 Ma, Wanbiao
33 Wang, Jinliang
32 Lou, Yuan
31 Thieme, Horst R.
31 Yuan, Rong
30 Chen, Yuming
30 Nie, Hua
29 Takeuchi, Yasuhiro
29 Wang, Wendi
27 Kuniya, Toshikazu
27 Lin, Guo
26 Liu, Shengqiang
26 Xu, Rui
25 Obaya, Rafael
24 Jiang, Daqing
24 Li, Xuezhi
24 Sontag, Eduardo D.
24 Wu, Jianhua
24 Wu, Shiliang
24 Yuan, Sanling
23 Lam, King-Yeung
23 Qiu, Zhipeng
23 Shi, Junping
22 Jin, Zhen
22 Kuang, Yang
22 Liu, Xianning
22 Rapaport, Alain
22 Song, Xinyu
21 Wei, Junjie
20 Jang, Sophia R.-J.
19 De Leenheer, Patrick
19 Yi, Taishan
18 Elaiw, Ahmed M.
18 Faria, Teresa
18 Gouzé, Jean-Luc
18 Wang, Lin
18 Wang, Yi
18 Wolkowicz, Gail S. K.
17 Ackleh, Azmy S.
17 Cai, Liming
17 Cui, Jingan
17 Gumel, Abba B.
17 Lou, Yijun
17 Weng, Peixuan
17 Yang, Yu
17 Zhang, Tonghua
16 Caraballo Garrido, Tomás
16 Gourley, Stephen A.
16 Liu, Zhijun
16 Martcheva, Maia
16 Ruiz-Herrera, Alfonso
16 Sanz, Ana M.
15 Guo, Shangjiang
15 Gyllenberg, Mats
15 Huang, Lihong
15 Huo, Hai-Feng
15 Lutscher, Frithjof
15 Niu, Lei
15 Trofimchuk, Sergei I.
15 Zhang, Long
14 Gedeon, Tomáš
14 Hsu, Cheng-Hsiung
14 Li, Michael Yi
14 Magal, Pierre
14 Meng, Xinzhu
14 Pan, Shuxia
14 Sari, Tewfik
14 Wang, Hao
14 Wang, Wei
14 Wang, Zhi Cheng
13 Angeli, David
13 Gao, Daozhou
13 Röst, Gergely
13 Wang, Xia
13 Yang, Junyuan
13 Zhou, Yicang
12 Eberl, Hermann J.
12 Liu, Rongsong
12 Mierczyński, Janusz
12 Shu, Hongying
12 Waltman, Paul Elvis
12 Xiao, Dongmei
12 Xiao, Yanni
12 Yan, Xiangping
11 Cantrell, Robert Stephen
11 Cosner, Chris
11 Cushing, Jim M.
11 Feng, Zhaosheng
...and 3,910 more Authors
all top 5

Cited in 326 Serials

228 Journal of Differential Equations
219 Journal of Mathematical Analysis and Applications
184 Journal of Mathematical Biology
176 Applied Mathematics and Computation
173 Nonlinear Analysis. Real World Applications
158 Mathematical Biosciences
156 Discrete and Continuous Dynamical Systems. Series B
112 Bulletin of Mathematical Biology
98 Mathematical Biosciences and Engineering
90 Journal of Dynamics and Differential Equations
87 Journal of Biological Dynamics
76 Advances in Difference Equations
69 Chaos, Solitons and Fractals
69 International Journal of Biomathematics
65 Journal of Theoretical Biology
64 Journal of Difference Equations and Applications
53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
51 Automatica
49 Computers & Mathematics with Applications
49 Discrete Dynamics in Nature and Society
45 Applied Mathematical Modelling
44 Applied Mathematics Letters
43 SIAM Journal on Applied Mathematics
42 Discrete and Continuous Dynamical Systems
42 Abstract and Applied Analysis
41 Mathematical Methods in the Applied Sciences
41 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
41 Communications in Nonlinear Science and Numerical Simulation
39 Proceedings of the American Mathematical Society
36 Journal of Computational and Applied Mathematics
33 Nonlinear Analysis. Theory, Methods & Applications
31 Applicable Analysis
30 Theoretical Population Biology
30 Communications on Pure and Applied Analysis
30 Journal of Applied Mathematics and Computing
27 Physica A
27 Physica D
27 Journal of Biological Systems
26 Mathematical and Computer Modelling
25 Journal of the Franklin Institute
25 Systems & Control Letters
24 Differential Equations and Dynamical Systems
24 Nonlinear Dynamics
21 SIAM Journal on Applied Dynamical Systems
21 Journal of Applied Analysis and Computation
20 Rocky Mountain Journal of Mathematics
19 Journal of Mathematical Chemistry
18 Mathematics and Computers in Simulation
18 Discrete and Continuous Dynamical Systems. Series S
17 Journal of Nonlinear Science
16 Nonlinearity
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Transactions of the American Mathematical Society
15 Complexity
14 Acta Applicandae Mathematicae
13 International Journal of Control
13 Computational and Applied Mathematics
12 Acta Mathematicae Applicatae Sinica. English Series
12 European Journal of Applied Mathematics
12 SIAM Journal on Mathematical Analysis
12 Mathematical Problems in Engineering
11 Journal of Applied Mathematics
11 Nonlinear Analysis. Hybrid Systems
10 Ricerche di Matematica
10 SIAM Journal on Control and Optimization
10 European Journal of Control
10 Mathematical Modelling of Natural Phenomena
9 Chaos
9 Acta Mathematica Sinica. English Series
8 Japan Journal of Industrial and Applied Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Science China. Mathematics
8 International Journal of Applied and Computational Mathematics
7 International Journal of Robust and Nonlinear Control
7 Qualitative Theory of Dynamical Systems
7 Computational & Mathematical Methods in Medicine
7 Nonautonomous Dynamical Systems
6 Journal of Functional Analysis
6 Ergodic Theory and Dynamical Systems
6 Applied Mathematics and Mechanics. (English Edition)
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 International Journal of Computer Mathematics
6 Applied Mathematics. Series B (English Edition)
6 Electronic Journal of Differential Equations (EJDE)
6 Wuhan University Journal of Natural Sciences (WUJNS)
6 Journal of Evolution Equations
6 Dynamical Systems
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Mediterranean Journal of Mathematics
6 Boundary Value Problems
6 Journal of Nonlinear Science and Applications
6 International Journal of Differential Equations
6 AIMS Mathematics
5 Annales Polonici Mathematici
5 Quarterly of Applied Mathematics
5 Applied Numerical Mathematics
5 MCSS. Mathematics of Control, Signals, and Systems
5 Linear Algebra and its Applications
5 Stochastic Processes and their Applications
...and 226 more Serials
all top 5

Cited in 51 Fields

2,863 Biology and other natural sciences (92-XX)
1,879 Ordinary differential equations (34-XX)
1,008 Partial differential equations (35-XX)
804 Dynamical systems and ergodic theory (37-XX)
296 Systems theory; control (93-XX)
189 Numerical analysis (65-XX)
180 Difference and functional equations (39-XX)
164 Operator theory (47-XX)
142 Probability theory and stochastic processes (60-XX)
100 Integral equations (45-XX)
70 Calculus of variations and optimal control; optimization (49-XX)
70 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Statistical mechanics, structure of matter (82-XX)
34 Computer science (68-XX)
26 Combinatorics (05-XX)
21 Global analysis, analysis on manifolds (58-XX)
21 Operations research, mathematical programming (90-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
17 Real functions (26-XX)
17 General topology (54-XX)
15 Statistics (62-XX)
13 Functional analysis (46-XX)
12 Mechanics of particles and systems (70-XX)
12 Fluid mechanics (76-XX)
12 Classical thermodynamics, heat transfer (80-XX)
8 Mechanics of deformable solids (74-XX)
7 Information and communication theory, circuits (94-XX)
6 Measure and integration (28-XX)
6 Geophysics (86-XX)
5 General and overarching topics; collections (00-XX)
5 Approximations and expansions (41-XX)
4 Functions of a complex variable (30-XX)
4 Optics, electromagnetic theory (78-XX)
3 Abstract harmonic analysis (43-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Algebraic topology (55-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Quantum theory (81-XX)

Citations by Year