Hal L. Smith - Publications

Affiliations: 
Arizona State University, Tempe, AZ, United States 
Area:
Mathematics

93 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Allen EJ, Allen LJS, Smith HL. On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Journal of Mathematical Biology. PMID 32676719 DOI: 10.1007/S00285-020-01516-8  0.368
2018 Browne CJ, Smith HL. Dynamics of virus and immune response in multi-epitope network. Journal of Mathematical Biology. PMID 29476197 DOI: 10.1007/S00285-018-1224-Z  0.319
2017 Schuster M, Foxall E, Finch D, Smith H, Leenheer PD. Tragedy of the commons in the chemostat. Plos One. 12. PMID 29261671 DOI: 10.1371/Journal.Pone.0186119  0.313
2017 Korytowski DA, Smith H. Permanence and Stability of a Kill the Winner Model in Marine Ecology. Bulletin of Mathematical Biology. PMID 28349407 DOI: 10.1007/S11538-017-0265-6  0.383
2017 Korytowski DA, Smith HL. Persistence in phage-bacteria communities with nested and one-to-one infection networks Discrete and Continuous Dynamical Systems-Series B. 22: 859-875. DOI: 10.3934/Dcdsb.2017043  0.31
2016 Jones DA, Smith HL, Thieme HR. Spread of phage infection of bacteria in a petri dish Discrete and Continuous Dynamical Systems - Series B. 21: 471-496. DOI: 10.3934/Dcdsb.2016.21.471  0.316
2016 Smith HL. Monotone dynamical systems: Reflections on new advances & applications Discrete and Continuous Dynamical Systems. 37: 485-504. DOI: 10.3934/Dcds.2017020  0.326
2016 Fan G, Smith HL, Thieme HR. Competition in the Chemostat with Time-Dependent Differential Removal Rates Vietnam Journal of Mathematics. 45: 153-178. DOI: 10.1007/S10013-016-0208-9  0.306
2015 Jin W, Smith HL, Thieme HR. Persistence versus extinction for a class of discrete-time structured population models. Journal of Mathematical Biology. PMID 26032653 DOI: 10.1007/S00285-015-0898-8  0.372
2014 Imran M, Smith HL. A model of optimal dosing of antibiotic treatment in biofilm. Mathematical Biosciences and Engineering : Mbe. 11: 547-71. PMID 24506551 DOI: 10.3934/Mbe.2014.11.547  0.703
2014 Klapper I, Dockery J, Smith H. Niche Partitioning Along an Environmental Gradient Siam Journal On Applied Mathematics. 74: 1511-1534. DOI: 10.1137/14095786X  0.314
2013 Smith HL, Thieme HR. Chemostats and epidemics: competition for nutrients/hosts. Mathematical Biosciences and Engineering : Mbe. 10: 1635-50. PMID 24245640 DOI: 10.3934/Mbe.2013.10.1635  0.311
2013 Smith HL, Thieme HR. Persistence and global stability for a class of discrete time structured population models Discrete and Continuous Dynamical Systems- Series A. 33: 4627-4646. DOI: 10.3934/Dcds.2013.33.4627  0.403
2012 Han Z, Smith HL. Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat. Mathematical Biosciences and Engineering : Mbe. 9: 737-65. PMID 23311420 DOI: 10.3934/Mbe.2012.9.737  0.677
2012 Kang Y, Smith H. Global dynamics of a discrete two-species Lottery-Ricker competition model Journal of Biological Dynamics. 6: 358-376. PMID 22873595 DOI: 10.1080/17513758.2011.586064  0.395
2012 Smith HL, Thieme HR. Persistence of bacteria and phages in a chemostat. Journal of Mathematical Biology. 64: 951-79. PMID 21656281 DOI: 10.1007/S00285-011-0434-4  0.369
2011 Jones DA, Smith HL. Bacteriophage and bacteria in a flow reactor. Bulletin of Mathematical Biology. 73: 2357-83. PMID 21221829 DOI: 10.1007/S11538-010-9626-0  0.364
2011 Smith HL. Global dynamics of the smallest chemical reaction system with Hopf bifurcation Journal of Mathematical Chemistry. 50: 989-995. DOI: 10.1007/S10910-011-9946-9  0.307
2010 Smith HL. Preface: tribute to Horst R. Thieme on the occasion of his 60th birthday. Mathematical Biosciences and Engineering : Mbe. 7: i-iii. PMID 20104943 DOI: 10.3934/Mbe.2010.7.1I  0.333
2010 Salceanu PL, Smith HL. Persistence in a discrete-time, stage-structured epidemic model Journal of Difference Equations and Applications. 16: 73-103. DOI: 10.1080/10236190802400733  0.749
2009 Salceanu PL, Smith HL. Persistence in a discrete-time stage-structured fungal disease model. Journal of Biological Dynamics. 3: 271-85. PMID 22880834 DOI: 10.1080/17513750802379028  0.748
2009 Salceanu PL, Smith HL. Lyapunov exponents and persistence in discrete dynamical systems Discrete and Continuous Dynamical Systems-Series B. 12: 187-203. DOI: 10.3934/Dcdsb.2009.12.187  0.756
2009 Smith HL, Trevino RT. Bacteriophage Infection Dynamics: Multiple Host Binding Sites Mathematical Modelling of Natural Phenomena. 4: 109-134. DOI: 10.1051/Mmnp/20094604  0.322
2009 Salceanu PL, Smith HL. Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets Lecture Notes in Control and Information Sciences. 17-27. DOI: 10.1007/978-3-642-02894-6_2  0.724
2008 Malik T, Smith HL. Does dormancy increase fitness of bacterial populations in time-varying environments? Bulletin of Mathematical Biology. 70: 1140-62. PMID 18239978 DOI: 10.1007/S11538-008-9294-5  0.33
2008 Smith HL. Models of Virulent Phage Growth with Application to Phage Therapy Siam Journal On Applied Mathematics. 68: 1717-1737. DOI: 10.1137/070704514  0.36
2008 Smith H. Global stability for mixed monotone systems Journal of Difference Equations and Applications. 14: 1159-1164. DOI: 10.1080/10236190802332126  0.318
2008 Enciso GA, Hirsch MW, Smith HL. Prevalent behavior of strongly order preserving semiflows Journal of Dynamics and Differential Equations. 20: 115-132. DOI: 10.1007/S10884-007-9084-Z  0.32
2007 Li B, Smith HL. Global dynamics of microbial competition for two resources with internal storage. Journal of Mathematical Biology. 55: 481-515. PMID 17505828 DOI: 10.1007/S00285-007-0092-8  0.363
2007 Imran M, Smith HL. The dynamics of bacterial infection, innate immune response, and antibiotic treatment Discrete and Continuous Dynamical Systems-Series B. 8: 127-143. DOI: 10.3934/Dcdsb.2007.8.127  0.692
2007 Wang H, Smith HL, Kuang Y, Elser JJ. Dynamics of stoichiometric bacteria-algae interactions in the epilimnion Siam Journal On Applied Mathematics. 68: 503-522. DOI: 10.1137/060665919  0.367
2006 Smith HL. The discrete dynamics of monotonically decomposable maps. Journal of Mathematical Biology. 53: 747-58. PMID 16718499 DOI: 10.1007/S00285-006-0004-3  0.354
2006 Malik T, Smith H. A resource-based model of microbial quiescence Journal of Mathematical Biology. 53: 231-252. PMID 16680470 DOI: 10.1007/S00285-006-0003-4  0.308
2006 Baer SM, Li B, Smith HL. Multiple limit cycles in the standard model of three species competition for three essential resources. Journal of Mathematical Biology. 52: 745-60. PMID 16463185 DOI: 10.1007/S00285-005-0367-X  0.36
2006 Hirsch MW, Smith HL. Asymptotically stable equilibria for monotone semiflows Discrete and Continuous Dynamical Systems. 14: 385-398. DOI: 10.3934/Dcds.2006.14.385  0.35
2006 Mudassar I, Smith H. The Pharmacodynamics of Antibiotic Treatment Computational and Mathematical Methods in Medicine. 7: 229-263. DOI: 10.1080/10273660601122773  0.365
2006 Enciso GA, Smith HL, Sontag ED. Nonmonotone systems decomposable into monotone systems with negative feedback Journal of Differential Equations. 224: 205-227. DOI: 10.1016/J.Jde.2005.05.007  0.321
2005 Imran M, Jones D, Smith H. Biofilms and the plasmid maintenance question. Mathematical Biosciences. 193: 183-204. PMID 15748729 DOI: 10.1016/J.Mbs.2004.10.008  0.698
2003 Jones D, Kojouharov HV, Le D, Smith H. The Freter model: a simple model of biofilm formation. Journal of Mathematical Biology. 47: 137-52. PMID 12883858 DOI: 10.1007/S00285-003-0202-1  0.346
2003 Smith HL, De Leenheer P. Virus Dynamics: A Global Analysis Siam Journal On Applied Mathematics. 63: 1313-1327. DOI: 10.1137/S0036139902406905  0.312
2002 Jones D, Kojouharov HV, Le D, Smith H. Bacterial wall attachment in a flow reactor Siam Journal On Applied Mathematics. 62: 1728-1771. DOI: 10.1137/S0036139901390416  0.332
2001 Ballyk MM, Jones D, Smith H. Microbial Competition in Reactors with Wall Attachment. Microbial Ecology. 41: 210-221. PMID 11391459 DOI: 10.1007/S002480000005  0.328
2001 Smith HL, Zhao X. Competitive exclusion in a discrete-time, size-structured chemostat model Discrete and Continuous Dynamical Systems-Series B. 1: 183-191. DOI: 10.3934/Dcdsb.2001.1.183  0.337
2001 Li MY, Smith HL, Wang L. Global Dynamics of an SEIR Epidemic Model with Vertical Transmission Siam Journal On Applied Mathematics. 62: 58-69. DOI: 10.1137/S0036139999359860  0.344
2001 Smith HL, Thieme HR. Stable coexistence and bi-stability for competitive systems on ordered Banach spaces Journal of Differential Equations. 176: 195-222. DOI: 10.1006/Jdeq.2001.3981  0.327
2000 Smith HL, Zhao X. Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations Siam Journal On Mathematical Analysis. 31: 514-534. DOI: 10.1137/S0036141098346785  0.301
2000 Stemmons ED, Smith HL. Competition in a Chemostat with Wall Attachment Siam Journal On Applied Mathematics. 61: 567-595. DOI: 10.1137/S0036139999358131  0.353
2000 Jones DA, Smith H. Microbial Competition for Nutrient and Wall Sites in Plug Flow Siam Journal On Applied Mathematics. 60: 1576-1600. DOI: 10.1137/S0036139998341588  0.356
2000 Cavani M, Lizana M, Smith HL. Stable Periodic Orbits for a Predator–Prey Model with Delay Journal of Mathematical Analysis and Applications. 249: 324-339. DOI: 10.1006/Jmaa.2000.6802  0.336
1999 Ballyk M, Smith H. A model of microbial growth in a plug flow reactor with wall attachment Bellman Prize in Mathematical Biosciences. 158: 95-126. PMID 10232005 DOI: 10.1016/S0025-5564(99)00006-1  0.337
1999 Dung L, Smith HL. Steady States of Models of Microbial Growth and Competition with Chemotaxis Journal of Mathematical Analysis and Applications. 229: 295-318. DOI: 10.1006/Jmaa.1998.6167  0.301
1999 Smith HL, Zhao X. Dynamics of a Periodically Pulsed Bio-reactor Model Journal of Differential Equations. 155: 368-404. DOI: 10.1006/Jdeq.1998.3587  0.361
1998 Jones DA, Smith HL, Dung L, Ballyk M. Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor Siam Journal On Applied Mathematics. 59: 573-596. DOI: 10.1137/S0036139997325345  0.376
1997 Zhao T, Kuang Y, Smith HL. Global existence of periodic solutions in a class of delayed gause-type predator-prey systems Nonlinear Analysis, Theory, Methods and Applications. 28: 1373-1394. DOI: 10.1016/0362-546X(95)00230-S  0.357
1997 Smith HL. The periodically forced Droop model for phytoplankton growth in a chemostat Journal of Mathematical Biology. 35: 545-556. DOI: 10.1007/S002850050065  0.347
1996 Smith HL. A discrete, size-structured model of microbial growth and competition in the chemostat Journal of Mathematical Biology. 34: 734-754. DOI: 10.1007/Bf00161517  0.345
1996 Dung L, Smith HL. A Parabolic System Modeling Microbial Competition in an Unmixed Bio-reactor Journal of Differential Equations. 130: 59-91. DOI: 10.1006/Jdeq.1996.0132  0.324
1995 Smith HL. Equivalent Dynamics for a Structured Population Model and a Related Functional Differential Equation Rocky Mountain Journal of Mathematics. 25: 491-499. DOI: 10.1216/Rmjm/1181072298  0.35
1994 Smith HL, Waltman P. Competition for a Single Limiting Resource in Continuous Culture: The Variable-Yield Model Siam Journal On Applied Mathematics. 54: 1113-1131. DOI: 10.1137/S0036139993245344  0.34
1994 Smith HL. A structured population model and a related functional differential equation: Global attractors and uniform persistence Journal of Dynamics and Differential Equations. 6: 71-99. DOI: 10.1007/Bf02219189  0.362
1994 Zhu H, Smith H. Stable Periodic Orbits for a Class of Three Dimensional Competitive Systems Journal of Differential Equations. 110: 143-156. DOI: 10.1006/Jdeq.1994.1063  0.337
1993 Smith HL. Reduction of structured population models to threshold-type delay equations and functional differential equations: a case study. Mathematical Biosciences. 113: 1-23. PMID 8431644 DOI: 10.1016/0025-5564(93)90006-V  0.338
1993 Smith HL. Existence and Uniqueness of Global Solutions for a Size-Structured Model of an Insect Population with Variable Instar Duration Rocky Mountain Journal of Mathematics. 24: 311-334. DOI: 10.1216/Rmjm/1181072468  0.326
1993 Kuang Y, Smith HL. Convergence in Lotka-Volterra type diffusive delay systems without dominating instantaneous negative feedbacks The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 34: 471-494. DOI: 10.1017/S0334270000009036  0.328
1993 Kuang Y, Smith HL. Convergence in lotka-volterra-type delay systems without instantaneous feedbacks Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 123: 45-58. DOI: 10.1017/S0308210500021235  0.307
1993 Kuang Y, Smith HL. Global Stability for Infinite Delay Lotka-Volterra Type Systems Journal of Differential Equations. 103: 221-246. DOI: 10.1006/Jdeq.1993.1048  0.302
1992 Kuang Y, Smith HL. Slowly oscillating periodic solutions of autonomous state-dependent delay equations Nonlinear Analysis. 19: 855-872. DOI: 10.1016/0362-546X(92)90055-J  0.346
1991 Smith HL, Waltman P. The gradostat: A model of competition along a nutrient gradient. Microbial Ecology. 22: 207-226. PMID 24194337 DOI: 10.1007/Bf02540224  0.309
1991 Martin RH, Smith HL. Reaction-diffusion systems with time delays: monotonicity, invariance, comparison and convergence. Crelle's Journal. 413: 1-35. DOI: 10.1515/Crll.1991.413.1  0.301
1991 Smith HL. Periodic Tridiagonal Competitive and Cooperative Systems of Differential Equations Siam Journal On Mathematical Analysis. 22: 1102-1109. DOI: 10.1137/0522071  0.321
1991 Smith HL, Tang B, Waltman P. Competition in an n-Vessel Gradostat Siam Journal On Applied Mathematics. 51: 1451-1471. DOI: 10.1137/0151072  0.305
1991 Smith HL, Thieme HR. Strongly order preserving semiflows generated by functional differential equations Journal of Differential Equations. 93: 332-363. DOI: 10.1016/0022-0396(91)90016-3  0.363
1991 Hofbauer J, Mallet-Paret J, Smith HL. Stable periodic solutions for the hypercycle system Journal of Dynamics and Differential Equations. 3: 423-436. DOI: 10.1007/Bf01049740  0.334
1991 Kuang Y, Smith HL, Martin RH. Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches Journal of Dynamics and Differential Equations. 3: 339-360. DOI: 10.1007/Bf01049736  0.307
1990 Smith HL, Thieme HR. Quasi Convergence and Stability for Strongly Order-Preserving Semiflows Siam Journal On Mathematical Analysis. 21: 673-692. DOI: 10.1137/0521036  0.343
1990 Martin RH, Smith HL. Abstract functional differential equations and reaction-diffusion systems Transactions of the American Mathematical Society. 321: 1-44. DOI: 10.1090/S0002-9947-1990-0967316-X  0.319
1990 Smith HL, Thieme HR. Monotone semiflows in scalar non-quasi-monotone functional differential equations Journal of Mathematical Analysis and Applications. 150: 289-306. DOI: 10.1016/0022-247X(90)90105-O  0.315
1989 Smith H. Competing subcommunities of mutualists Computers & Mathematics With Applications. 18: 949-957. DOI: 10.1016/0898-1221(89)90013-8  0.311
1988 Smith HL. Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results Siam Review. 30: 87-113. DOI: 10.1137/1030003  0.311
1987 Smith H. Oscillations and multiple steady states in a cyclic gene model with repression Journal of Mathematical Biology. 25: 169-190. PMID 3611980 DOI: 10.1007/Bf00276388  0.312
1986 Smith HL. Periodic Solutions of Periodic Competitive and Cooperative Systems Siam Journal On Mathematical Analysis. 17: 1289-1318. DOI: 10.1137/0517091  0.331
1986 Smith HL. Competing Subcommunities of Mutualists and a Generalized Kamke Theorem Siam Journal On Applied Mathematics. 46: 856-874. DOI: 10.1137/0146052  0.329
1986 Smith HL. On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species Siam Journal On Applied Mathematics. 46: 368-375. DOI: 10.1137/0146025  0.316
1986 Smith HL. Periodic competitive differential equations and the discrete dynamics of competitive maps Journal of Differential Equations. 64: 165-194. DOI: 10.1016/0022-0396(86)90086-0  0.308
1986 Smith HL. Periodic orbits of competitive and cooperative systems Journal of Differential Equations. 65: 361-373. DOI: 10.1016/0022-0396(86)90024-0  0.325
1984 Schwartz IB, Smith HL. Infinite subharmonic bifurcation in an SEIR epidemic model. Journal of Mathematical Biology. 18: 233-53. PMID 6663207 DOI: 10.1007/Bf00276090  0.359
1983 Smith HL. Multiple stable subharmonics for a periodic epidemic model. Journal of Mathematical Biology. 17: 179-90. PMID 6886570 DOI: 10.1007/Bf00305758  0.301
1983 Smith H. Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease Siam Journal On Applied Mathematics. 43: 370-385. DOI: 10.1137/0143025  0.367
1982 Smith HL. The Interaction of Steady State and Hopf Bifurcations in a Two-Predator–One-Prey Competition Model Siam Journal On Applied Mathematics. 42: 27-43. DOI: 10.1137/0142003  0.351
1981 Smith HL. Competitive Coexistence in an Oscillating Chemostat Siam Journal On Applied Mathematics. 40: 498-522. DOI: 10.1137/0140042  0.3
1978 Smith H. Periodic solutions for a class of epidemic equations Journal of Mathematical Analysis and Applications. 64: 467-479. DOI: 10.1016/0022-247X(78)90055-0  0.324
1977 Smith HL. On periodic solutions of a delay integral equation modelling epidemics. Journal of Mathematical Biology. 4: 69-80. PMID 845513 DOI: 10.1007/Bf00276353  0.315
1977 Gatica J, Smith HL. Fixed point techniques in a cone with applications Journal of Mathematical Analysis and Applications. 61: 58-71. DOI: 10.1016/0022-247X(77)90143-3  0.32
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