• 5146 Citations
  • 37 h-Index
1976 …2020

Research output per year

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

Research Output

Filter
Article

Global asymptotic stability of traveling waves in delayed reaction-diffusion equations

Smith, H. & Zhao, X. Q., Jan 1 2000, In : SIAM Journal on Mathematical Analysis. 31, 3, p. 514-534 21 p.

Research output: Contribution to journalArticle

157 Scopus citations

Global dynamics of a discrete two-species Lottery-Ricker competition model

Kang, Y. & Smith, H., Mar 1 2012, In : Journal of biological dynamics. 6, 2, p. 358-376 19 p.

Research output: Contribution to journalArticle

10 Scopus citations

Global dynamics of an seir epidemic model with vertical transmission

Li, M. Y., Smith, H. & Wang, L., Dec 1 2001, In : SIAM Journal on Applied Mathematics. 62, 1, p. 58-69 12 p.

Research output: Contribution to journalArticle

171 Scopus citations

Global dynamics of microbial competition for two resources with internal storage

Li, B. & Smith, H., Oct 1 2007, In : Journal Of Mathematical Biology. 55, 4, p. 481-515 35 p.

Research output: Contribution to journalArticle

24 Scopus citations

Global dynamics of the smallest chemical reaction system with Hopf bifurcation

Smith, H., Apr 1 2012, In : Journal of Mathematical Chemistry. 50, 4, p. 989-995 7 p.

Research output: Contribution to journalArticle

4 Scopus citations
83 Scopus citations
17 Scopus citations

Global stability for infinite delay lotka-volterra type systems

Kuang, Y. & Smith, H., Jan 1 1993, In : Journal of Differential Equations. 103, 2, p. 221-246 26 p.

Research output: Contribution to journalArticle

123 Scopus citations

Global stability for mixed monotone systems

Smith, H., Oct 1 2008, In : Journal of Difference Equations and Applications. 14, 10-11, p. 1159-1164 6 p.

Research output: Contribution to journalArticle

13 Scopus citations

Global stability in diffusive delay Lotka-Volterra systems

Kuangt, Y., Smith, H. & Schmitt, K., 1991, In : Differential and Integral Equations. 4, 1, p. 117-128 12 p.

Research output: Contribution to journalArticle

37 Scopus citations

How many species can two essential resources support?

Li, B. & Smith, H., Jan 1 2001, In : SIAM Journal on Applied Mathematics. 62, 1, p. 336-366 31 p.

Research output: Contribution to journalArticle

32 Scopus citations

How nested and monogamous infection networks in host-phage communities come to be

Korytowski, D. A. & Smith, H., Jan 1 2014, In : Theoretical Ecology. 8, 1, p. 111-120 10 p.

Research output: Contribution to journalArticle

11 Scopus citations

Infinite subharmonic bifurcation in an SEIR epidemic model

Schwartz, I. B. & Smith, H., Dec 1 1983, In : Journal Of Mathematical Biology. 18, 3, p. 233-253 21 p.

Research output: Contribution to journalArticle

150 Scopus citations

Lyapunov exponents and persistence in discrete dynamical systems

Salceanu, P. L. & Smith, H., Jul 1 2009, In : Discrete and Continuous Dynamical Systems - Series B. 12, 1, p. 187-203 17 p.

Research output: Contribution to journalArticle

18 Scopus citations

Microbial competition for nutrient and wall sites in plug flow

Jones, D. & Smith, H., May 2000, In : SIAM Journal on Applied Mathematics. 60, 5, p. 1576-1600 25 p.

Research output: Contribution to journalArticle

16 Scopus citations

Microbial competition for nutrient in a 3D flow reactor

Jones, D., Kojouharov, H. V., Le, D. & Smith, H., Feb 1 2003, In : Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 10, 1-3, p. 57-67 11 p.

Research output: Contribution to journalArticle

1 Scopus citations

Microbial competition in reactors with wall attachment: A mathematical comparison of chemostat and plug flow models

Ballyk, M. M., Jones, D. & Smith, H., Jan 1 2001, In : Microbial Ecology. 41, 3, p. 210-221 12 p.

Research output: Contribution to journalArticle

19 Scopus citations

Microbial growth in a plug flow reactor with wall adherence and cell motility

Smith, H. & Zhao, X. Q., Jan 1 2000, In : Journal of Mathematical Analysis and Applications. 241, 1, p. 134-155 22 p.

Research output: Contribution to journalArticle

Open Access
10 Scopus citations

Microbial growth in periodic gradostats

Smith, H., Jan 1 1990, In : Rocky Mountain Journal of Mathematics. 20, 4, p. 1173-1194 22 p.

Research output: Contribution to journalArticle

7 Scopus citations

Models of virulent phage growth with application to phage therapy

Smith, H., Dec 1 2008, In : SIAM Journal on Applied Mathematics. 68, 6, p. 1717-1737 21 p.

Research output: Contribution to journalArticle

13 Scopus citations

Monotone dynamical systems: Reflections on new advances & applications

Smith, H., Jan 1 2017, In : Discrete and Continuous Dynamical Systems- Series A. 37, 1, p. 485-504 20 p.

Research output: Contribution to journalArticle

6 Scopus citations

Monotone semiflows generated by functional differential equations

Smith, H., Mar 15 1987, In : Journal of Differential Equations. 66, 3, p. 420-442 23 p.

Research output: Contribution to journalArticle

153 Scopus citations
47 Scopus citations

Multiple limit cycles in the standard model of three species competition for three essential resources

Baer, S., Li, B. & Smith, H., Jun 1 2006, In : Journal Of Mathematical Biology. 52, 6, p. 745-760 16 p.

Research output: Contribution to journalArticle

8 Scopus citations

Multiple stable subharmonics for a periodic epidemic model

Smith, H., Jun 1 1983, In : Journal Of Mathematical Biology. 17, 2, p. 179-190 12 p.

Research output: Contribution to journalArticle

44 Scopus citations

Niche partitioning along an environmental gradient

Klapper, I., Dockery, J. & Smith, H., Jan 1 2014, In : SIAM Journal on Applied Mathematics. 74, 5, p. 1511-1534 24 p.

Research output: Contribution to journalArticle

2 Scopus citations

Nonmonotone systems decomposable into monotone systems with negative feedback

Enciso, G. A., Smith, H. & Sontag, E. D., May 1 2006, In : Journal of Differential Equations. 224, 1, p. 205-227 23 p.

Research output: Contribution to journalArticle

40 Scopus citations

Nonresonant periodic perturbation of the hopf bifurcation

Smith, H., Jan 1 1981, In : Applicable Analysis. 12, 3, p. 173-195 23 p.

Research output: Contribution to journalArticle

3 Scopus citations

Normal forms for periodic systems

Smith, H., Feb 1 1986, In : Journal of Mathematical Analysis and Applications. 113, 2, p. 578-600 23 p.

Research output: Contribution to journalArticle

9 Scopus citations

On eigenvalue problems for nondifferentiable mappings

Schmitt, K. & Smith, H. L., Sep 1979, In : Journal of Differential Equations. 33, 3, p. 294-319 26 p.

Research output: Contribution to journalArticle

34 Scopus citations

On periodic solutions of a delay integral equation modelling epidemics

Smith, H. L., Mar 1977, In : Journal Of Mathematical Biology. 4, 1, p. 69-80 12 p.

Research output: Contribution to journalArticle

36 Scopus citations

On spread of phage infection of bacteria in a petri dish

Jones, D., Smith, H., Thieme, H. & Röst, G., Jun 4 2012, In : SIAM Journal on Applied Mathematics. 72, 2, p. 670-688 19 p.

Research output: Contribution to journalArticle

10 Scopus citations

ON THE ASYMPTOTIC BEHAVIOR OF A CLASS OF DETERMINISTIC MODELS OF COOPERATING SPECIES.

Smith, H., Jan 1 1986, In : SIAM Journal on Applied Mathematics. 46, 3, p. 368-375 8 p.

Research output: Contribution to journalArticle

61 Scopus citations

On the basin of attraction of a perturbed attractor

Smith, H., Sep 1982, In : Nonlinear Analysis. 6, 9, p. 911-917 7 p.

Research output: Contribution to journalArticle

5 Scopus citations

Oscillations and multiple steady states in a cyclic gene model with repression

Smith, H., Jun 1 1987, In : Journal Of Mathematical Biology. 25, 2, p. 169-190 22 p.

Research output: Contribution to journalArticle

70 Scopus citations

Periodic coexistence of four species competing for three essential resources

Li, B. & Smith, H., Aug 2003, In : Mathematical Biosciences. 184, 2, p. 115-135 21 p.

Research output: Contribution to journalArticle

18 Scopus citations

Periodic competitive differential equations and the discrete dynamics of competitive maps

Smith, H., Sep 15 1986, In : Journal of Differential Equations. 64, 2, p. 165-194 30 p.

Research output: Contribution to journalArticle

78 Scopus citations

Periodic orbits of competitive and cooperative systems

Smith, H., Dec 1986, In : Journal of Differential Equations. 65, 3, p. 361-373 13 p.

Research output: Contribution to journalArticle

49 Scopus citations

Periodic solutions for a class of epidemic equations

Smith, H., Jun 15 1978, In : Journal of Mathematical Analysis and Applications. 64, 2, p. 467-479 13 p.

Research output: Contribution to journalArticle

4 Scopus citations

Periodic solutions of an epidemic model with a threshold

Smith, H. L., Dec 1 1979, In : Rocky Mountain Journal of Mathematics. 9, 1, p. 131-142 12 p.

Research output: Contribution to journalArticle

1 Scopus citations

Periodic solutions of some nonlinear delay-differential equations

Martelli, M., Schmitt, K. & Smith, H., Apr 1980, In : Journal of Mathematical Analysis and Applications. 74, 2, p. 494-503 10 p.

Research output: Contribution to journalArticle

14 Scopus citations

Permanence and Stability of a Kill the Winner Model in Marine Ecology

Korytowski, D. A. & Smith, H., May 1 2017, In : Bulletin of Mathematical Biology. 79, 5, p. 995-1004 10 p.

Research output: Contribution to journalArticle

3 Scopus citations
7 Scopus citations
14 Scopus citations

Persistence in a discrete-time, stage-structured epidemic model

Salceanu, P. L. & Smith, H., Jan 1 2010, In : Journal of Difference Equations and Applications. 16, 1, p. 73-103 31 p.

Research output: Contribution to journalArticle

11 Scopus citations

Persistence in a discrete-time stage-structured fungal disease model

Salceanu, P. L. & Smith, H., Jan 1 2009, In : Journal of biological dynamics. 3, 2-3, p. 271-285 15 p.

Research output: Contribution to journalArticle

7 Scopus citations

Persistence in phage-bacteria communities with nested and one-to-one infection networks

Korytowski, D. A. & Smith, H., May 1 2017, In : Discrete and Continuous Dynamical Systems - Series B. 22, 3, p. 859-875 17 p.

Research output: Contribution to journalArticle

3 Scopus citations

Persistence of bacteria and phages in a chemostat

Smith, H. & Thieme, H., May 1 2012, In : Journal Of Mathematical Biology. 64, 6, p. 951-979 29 p.

Research output: Contribution to journalArticle

20 Scopus citations

Persistence versus extinction for a class of discrete-time structured population models

Jin, W., Smith, H. & Thieme, H., Mar 1 2016, In : Journal of Mathematical Biology. 72, 4, p. 821-850 30 p.

Research output: Contribution to journalArticle

7 Scopus citations

Perturbation of a globally stable steady state

Smith, H. & Waltman, P., Dec 1 1999, In : Proceedings of the American Mathematical Society. 127, 2, p. 447-453 7 p.

Research output: Contribution to journalArticle

58 Scopus citations