Edit Profile (opens in new tab) Smith, Hal Leslie Co-Author Distance Author ID: smith.hal-leslie Published as: Smith, Hal L.; Smith, H. L.; Smith, Hal; Smith, Hal Leslie more...less Homepage: https://math.la.asu.edu/~halsmith/ External Links: MGP Documents Indexed: 180 Publications since 1976, including 6 Books 2 Contributions as Editor Co-Authors: 67 Co-Authors with 121 Joint Publications 2,448 Co-Co-Authors all top 5 Co-Authors 61 single-authored 17 Thieme, Horst R. 11 Jones, Don A. 11 Kuang, Yang 11 Waltman, Paul Elvis 9 Le, Dung 8 Li, Bingtuan 8 Zhao, Xiao-Qiang 7 Hirsch, Morris W. 5 De Leenheer, Patrick 4 Kojouharov, Hristo V. 4 Martin, Robert H. jun. 4 Salceanu, Paul Leonard 4 Schmitt, Klaus 3 Ballyk, Mary M. 3 Imran, Mudassar 3 Tang, Betty K. P. 2 Enciso, Germán Andrés 2 Gatica, Juan A. 2 Hsu, Sze-Bin 2 Jin, Wen 2 Korytowski, Daniel A. 2 Malik, Tufail M. 2 Mallet-Paret, John Joseph 1 Allen, Edward James 1 Allen, Linda J. S. 1 Baer, Steven M. 1 Bhattacharyya, Joydeb 1 Browne, Cameron J. 1 Capasso, Vincenzo 1 Cavani, Mario 1 Diekmann, Odo 1 Dockery, Jack D. 1 Durrett, Richard Timothy 1 Elser, James J. 1 Fan, Guihong 1 Freedman, Herbert Irving 1 Goldstein, Myron 1 Golubitsky, Martin A. 1 Guo, Zhiming 1 Hadeler, Karl-Peter 1 Hall, Richard R. 1 Han, Zhun 1 Hsu, Szebi 1 Jäger, Willi 1 Kang, Yun 1 Klapper, Isaac 1 Korytowski, Dan A. 1 Li, Michael Yi 1 Lizana, Marcos 1 Maini, Philip Kumar 1 Martelli, Mario 1 Mischaikow, Konstantin 1 Mudassar, Imran 1 Pal, Samaresh 1 Röst, Gergely 1 Schuster, Martin R. 1 Schwartz, Ira Bruce 1 Sheil-Small, Terry 1 Sontag, Eduardo D. 1 Stemmons, Eric D. 1 Stepien, Tracy L. 1 Stuart, Charles Alexander 1 Tang, Baorong 1 Trevino, R. T. 1 Wang, Hao 1 Wang, Liancheng 1 Wang, Zizi 1 Zhao, Tao 1 Zhu, Hsiu-Rong 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 all top 5 Fields 130 Biology and other natural sciences (92-XX) 110 Ordinary differential equations (34-XX) 49 Dynamical systems and ergodic theory (37-XX) 43 Partial differential equations (35-XX) 14 Operator theory (47-XX) 8 Systems theory; control (93-XX) 6 Difference and functional equations (39-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 170 Publications have been cited 7,219 times in 4,752 Documents Cited by ▼ Year ▼ Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Zbl 0821.34003 Smith, Hal L. 1,094 1995 The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031 Smith, Hal L.; Waltman, Paul 560 1995 Abstract functional differential equations and reaction-diffusion systems. Zbl 0722.35046 Martin, R. H. jun.; Smith, H. L. 417 1990 An introduction to delay differential equations with applications to the life sciences. Zbl 1227.34001 Smith, Hal 372 2011 Dynamical systems and population persistence. Zbl 1214.37002 Smith, Hal L.; Thieme, Horst R. 289 2011 Virus dynamics: a global analysis. Zbl 1035.34045 De Leenheer, Patrick; Smith, Hal L. 229 2003 Robust persistence for semidynamical systems. Zbl 1042.37504 Smith, Hal L.; Zhao, Xiao-Qiang 210 2001 Global asymptotic stability of traveling waves in delayed reaction-diffusion equations. Zbl 0941.35125 Smith, Hal L.; Zhao, Xiao-Qiang 150 2000 Monotone dynamical systems. Zbl 1094.34003 Hirsch, M. W.; Smith, Hal 130 2005 Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029 Li, Michael Y.; Smith, Hal L.; Wang, Liancheng 129 2001 Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Zbl 0860.47033 Hsu, S. B.; Smith, H. L.; Waltman, Paul 129 1996 Planar competitive and cooperative difference equations. Zbl 0907.39004 Smith, H. L. 122 1998 Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037 Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R. 110 1995 Global stability for infinite delay Lotka–Volterra type systems. Zbl 0786.34077 Kuang, Y.; Smith, H. L. 110 1993 Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306 Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang 109 2001 Cooperative systems of differential equations with concave nonlinearities. Zbl 0612.34035 Smith, H. L. 109 1986 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. 101 1990 Monotone semiflows generated by functional differential equations. Zbl 0612.34067 Smith, Hal 96 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. 85 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. 73 1981 Strongly order preserving semiflows generated by functional differential equations. Zbl 0735.34065 Smith, Hal L.; Thieme, Horst R. 71 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 50 2005 Periodic solutions of periodic competitive and cooperative systems. Zbl 0609.34048 Smith, Hal L. 46 1986 Slowly oscillating periodic solutions of autonomous state-dependent delay equations. Zbl 0774.34054 Kuang, Y.; Smith, H. L. 46 1992 Convergence for strongly order-preserving semiflows. Zbl 0739.34040 Smith, Hal L.; Thieme, Horst R. 45 1991 Subharmonic bifurcation in an S-I-R epidemic model. Zbl 0578.92023 Smith, H. L. 43 1983 A parabolic system modeling microbial competition in an unmixed bio-reactor. Zbl 0865.35017 Le Dung; Smith, Hal L. 43 1996 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. 42 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 On eigenvalue problems for nondifferentiable mappings. Zbl 0389.34019 Schmitt, K.; Smith, H. L. 33 1979 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 Invariant curves for mappings. Zbl 0606.47056 Smith, Hal L. 32 1986 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 31 1994 A model of microbial growth in a plug flow reactor with wall attachment. Zbl 0980.92034 Ballyk, Mary; Smith, Hal 30 1999 Monotone semiflows in scalar non-quasi-monotone functional differential equations. Zbl 0719.34123 Smith, Hal L.; Thieme, Horst R. 30 1990 Fixed point techniques in a cone with applications. Zbl 0435.47060 Gatica, J. A.; Smith, Hal L. 29 1977 Global stability in diffusive delay Lotka-Volterra systems. Zbl 0752.34041 Kuang, Y.; Smith, H. L. 27 1991 Dynamics of competition. Zbl 1002.92564 Smith, H. L. 26 1999 Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075 Smith, H. L.; Thieme, H. R. 25 2001 Dynamics of stoichiometric bacteria-algae interactions in the epilimnion. Zbl 1133.92031 Wang, Hao; Smith, Hal L.; Kuang, Yang; Elser, James J. 24 2007 The discrete dynamics of monotonically decomposable maps. Zbl 1118.65057 Smith, H. L. 23 2006 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 Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088 Le Dung; Smith, Hal L. 22 1999 Positive solutions and conjugate points for systems of differential equations. Zbl 0379.34015 Schmitt, K.; Smith, H. L. 22 1978 A structured population model and a related functional differential equation: Global attractors and uniform persistence. Zbl 0794.34061 Smith, Hal L. 22 1994 Stable periodic solutions for the hypercycle system. Zbl 0729.34032 Hofbauer, J.; Mallet-Paret, J.; Smith, H. L. 21 1991 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 The Freter model: A simple model of biofilm formation. Zbl 1023.92010 Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal 18 2003 Competition in the chemostat: some remarks. Zbl 1132.92341 De Leenheer, Patrick; Li, Bingtuan; Smith, Hal L. 18 2003 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 Traveling waves in a bio-reactor model. Zbl 1079.35011 Smith, Hal L.; Zhao, Xiao-Qiang 17 2004 Periodic tridiagonal competitive and cooperative systems of differential equations. Zbl 0746.34030 Smith, Hal L. 17 1991 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 Global stability for mixed monotone systems. Zbl 1162.39009 Smith, H. L. 16 2008 Persistence and global stability for a class of discrete time structured population models. Zbl 1306.37099 Smith, Hal L.; Thieme, Horst R. 16 2013 Competition in the gradostat: The role of the communication rate. Zbl 0716.92025 Smith, Hal; Tang, Betty 15 1989 Competitive exclusion in a discrete-time, size-structured chemostat model. Zbl 1056.92059 Smith, H. L.; Zhao, X.-Q. 14 2001 Models of virulent phage growth with application to phage therapy. Zbl 1151.92316 Smith, Hal L. 14 2008 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 Persistence of bacteria and phages in a chemostat. Zbl 1303.92123 Smith, Hal L.; Thieme, Horst R. 13 2012 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 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 Microbial competition for nutrient and wall sites in plug flow. Zbl 1013.92047 Jones, Don A.; Smith, Hal 12 2000 A discrete, size-structured model of microbial growth and competition in the chemostat. Zbl 0884.92029 Smith, H. L. 12 1996 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 Persistence in a discrete-time, stage-structured epidemic model. Zbl 1182.92063 Salceanu, Paul Leonard; Smith, Hal L. 11 2010 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 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 Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks. Zbl 0807.35149 Kuang, Yang; Smith, Hal L. 10 1993 Does dormancy increase fitness of bacterial populations in time-varying environments? Zbl 1142.92045 Malik, Tufail; Smith, Hal L. 10 2008 Hopf bifurcation in a system of functional equations modeling the spread of an infectious disease. Zbl 0524.92019 Smith, Hal 9 1983 Equivalent dynamics for a structured population model and a related functional differential equation. Zbl 0835.34090 Smith, Hal L. 9 1995 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. 4 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. 2 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 A special class of Lotka-Volterra models of bacteria-virus infection networks. Zbl 1367.92120 Korytowski, Daniel A.; Smith, Hal L. 2 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 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. 2 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. 6 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 372 2011 Dynamical systems and population persistence. Zbl 1214.37002 Smith, Hal L.; Thieme, Horst R. 289 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. 11 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. 16 2008 Models of virulent phage growth with application to phage therapy. Zbl 1151.92316 Smith, Hal L. 14 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. 24 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. 23 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 130 2005 Monotone maps: a review. Zbl 1080.37016 Hirsch, M. W.; Smith, Hal 50 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. 229 2003 Feedback control for chemostat models. Zbl 1015.92046 De Leenheer, Patrick; Smith, Hal 53 2003 The Freter model: A simple model of biofilm formation. Zbl 1023.92010 Jones, Don; Kojouharov, Hristo V.; Le, Dung; Smith, Hal 18 2003 Competition in the chemostat: some remarks. Zbl 1132.92341 De Leenheer, Patrick; Li, Bingtuan; Smith, Hal L. 18 2003 Competitive and cooperative systems: mini-review. Zbl 1134.92358 Hirsch, Morris W.; Smith, Hal L. 18 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 Competition in the chemostat: some remarks. Zbl 1496.92046 de Leenheer, Patrick; Li, Bingtuan; Smith, Hal L. 1 2003 Strong positivity of solutions to parabolic and elliptic equations on nonsmooth domains. Zbl 1072.35503 Le, Dung; Smith, Hal 9 2002 Bacterial wall attachment in a flow reactor. Zbl 1017.92034 Jones, Don; Kojouharov, Hristo V.; 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 210 2001 Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029 Li, Michael Y.; Smith, Hal L.; Wang, Liancheng 129 2001 Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306 Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang 109 2001 Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. Zbl 1064.47075 Smith, H. L.; Thieme, H. R. 25 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 150 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. 85 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 30 1999 Dynamics of competition. Zbl 1002.92564 Smith, H. L. 26 1999 Steady states of models of microbial growth and competition with chemotaxis. Zbl 0933.35088 Le Dung; Smith, Hal L. 22 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 129 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. 1,094 1995 The theory of the chemostat. Dynamics of microbial competition. Zbl 0860.92031 Smith, Hal L.; Waltman, Paul 560 1995 Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions. Zbl 0829.34037 Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R. 110 1995 ...and 70 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,854 Authors 87 Zhao, Xiao-Qiang 78 Smith, Hal Leslie 70 Wu, Jianhong 60 Chen, Lansun 53 Teng, Zhi-dong 53 Wang, Feng-Bin 52 Jiang, Jifa 51 Zou, Xingfu 47 Wang, Jinliang 40 Li, Wan-Tong 40 Ruan, Shigui 39 Ma, Wanbiao 38 Kulenović, Mustafa R. 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