Herbert W. Hethcote
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Herbert W. Hethcotemathematics Degrees
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Mathematics
Why Is Herbert W. Hethcote Influential?
(Suggest an Edit or Addition)Herbert W. Hethcote's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Mathematics of Infectious Diseases (2000) (5513)
- Dynamical behavior of epidemiological models with nonlinear incidence rates (1987) (735)
- Qualitative analyses of communicable disease models (1976) (696)
- Gonorrhea Transmission Dynamics and Control (1984) (668)
- Three Basic Epidemiological Models (1989) (376)
- Dynamic models of infectious diseases as regulators of population sizes (1992) (369)
- Some epidemiological models with nonlinear incidence (1991) (350)
- Mutation and childhood cancer: a probabilistic model for the incidence of retinoblastoma. (1975) (347)
- Epidemiological models with age structure, proportionate mixing, and cross-immunity (1989) (329)
- A predator-prey model with infected prey. (2004) (320)
- Effects of quarantine in six endemic models for infectious diseases. (2002) (302)
- Statistical analysis of the stages of HIV infection using a Markov model. (1989) (297)
- Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs (1987) (277)
- Epidemic models: Their structure and relation to data (1996) (273)
- Periodicity in Epidemiological Models (1989) (233)
- An immunization model for a heterogeneous population. (1978) (220)
- Mixing patterns between age groups in social networks (2007) (217)
- A Thousand and One Epidemic Models (1994) (204)
- Stability of the endemic equilibrium in epidemic models with subpopulations (1985) (187)
- Disease transmission models with density-dependent demographics (1992) (181)
- Effects of behavioral changes in a smallpox attack model. (2005) (174)
- NONLINEAR OSCILLATIONS IN EPIDEMIC MODELS (1981) (167)
- An SIS epidemic model with variable population size and a delay (1995) (162)
- An age-structured model for pertussis transmission. (1997) (159)
- Measles and rubella in the United States. (1983) (157)
- PERIODICITY AND STABILITY IN EPIDEMIC MODELS: A SURVEY (1981) (156)
- Four predator prey models with infectious diseases (2001) (144)
- Model for the incidence of embryonal cancers: application to retinoblastoma. (1978) (135)
- Modeling HIV Transmission and AIDS in the United States (1992) (134)
- Adolescent and adult pertussis vaccination: computer simulations of five new strategies. (2004) (130)
- Two SIS epidemiologic models with delays (2000) (117)
- Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles (1999) (114)
- Gonorrhea modeling: a comparison of control methods (1982) (98)
- Optimal vaccination schedules in a deterministic epidemic model (1973) (92)
- Split-peak affinity chromatographic studies of the immobilization-dependent adsorption kinetics of protein A. (1986) (86)
- Confined animal feeding operations as amplifiers of influenza. (2006) (84)
- Optimal ages of vaccination for measles (1988) (84)
- THE BASIC EPIDEMIOLOGY MODELS: MODELS, EXPRESSIONS FOR R0, PARAMETER ESTIMATION, AND APPLICATIONS (2008) (82)
- Simulations of pertussis epidemiology in the United States: effects of adult booster vaccinations. (1999) (81)
- Models for Infectious Human Diseases: Modeling heterogeneous mixing in infectious disease dynamics (1996) (70)
- Asymptotic behavior in a deterministic epidemic model. (1973) (61)
- Waning immunity and its effects on vaccination schedules. (1994) (60)
- Stability analysis for models of diseases without immunity (1981) (60)
- Four SEI endemic models with periodicity and separatrices. (1995) (51)
- Using computer simulations to compare pertussis vaccination strategies in Australia. (2004) (48)
- A simulation model of AIDS in San Francisco: I. Model formulation and parameter estimation. (1991) (48)
- Asymptotic Behavior and Stability in Epidemic Models (1974) (46)
- Determination of equilibrium and rate constants by affinity chromatography (1982) (44)
- Background and Basic Concepts (1984) (42)
- Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions (1970) (42)
- Bounds for zeros of some special functions (1970) (36)
- An epidemiological model for HIV/AIDS with proportional recruitment. (1993) (35)
- Competing species models with an infectious disease. (2005) (34)
- Simulations of rubella vaccination strategies in China. (2006) (33)
- A simulation model of AIDS in San Francisco: II. Simulations, therapy, and sensitivity analysis. (1991) (32)
- Species Coexistence and Periodicity in Host-Host-Pathogen Models (2005) (29)
- Statistical and mathematical approaches in HIV/AIDS modeling: a review (1989) (27)
- Non-equilibrium model of liquid column chromatography : II. Explicit solutions and non-ideal conditions (1982) (24)
- Hopf bifurcation in models for pertussis epidemiology (1999) (22)
- Non-equilibrium model of liquid column chromatography (1982) (20)
- Schwarz lemma analogues for harmonic functions (1977) (19)
- Theoretical determination of optimal treatment schedules for radiation therapy. (1973) (18)
- Periodic traveling waves in SIRS endemic models (2009) (15)
- EPIDEMIOLOGY MODELS WITH VARIABLE POPULATION SIZE (2008) (13)
- Comparison of mathematical models for radiation fractionation. (1976) (13)
- Note on determining the limiting susceptible population in an epidemic model (1970) (11)
- Asymptotic behavior in a deterministic epidemic model (1973) (10)
- A Model for HIV Transmission and AIDS (1989) (10)
- The Mathematics of Infectious (2007) (9)
- New Vaccination Strategies for Pertussis (2002) (8)
- Mathematical applications associated with the deliberate release of infectious agents (2005) (8)
- Bifurcations in a Host-parasite Model with Nonlinear Incidence (2006) (6)
- A Computer Laboratory Course for Calculus and Linear Algebra (1972) (5)
- Modeling Gonorrhea in a Population with a Core Group (1984) (4)
- AGE-STRUCTURED EPIDEMIOLOGY MODELS AND EXPRESSIONS FOR R0 (2008) (4)
- Weak Linkage between HIV Epidemics in Homosexual Men and Intravenous Drug Users in New York City (1992) (3)
- QUANTITATIVE AFFINITY CHROMATOGRAPHY: NEW METHODS FOR KINETIC AND THERMODYNAMIC CHARACTERIZATION OF MACROMOLECULAR INTERACTIONS (1983) (3)
- Geometric Existence Proofs for Nonlinear Boundary Value Problems (1972) (2)
- Weak Linkage Between HIV Epidemics in Homosexual Men and Intravenous Drug Users (1992) (2)
- Effects of behavioral changes and mixing patterns in mathematical models for smallpox epidemics (2005) (1)
- Error Bounds for Asymptotic Approximations of Zeros of Hankel Functions Occurring in Diffraction Problems (1970) (1)
- Modeling Gonorrhea in a Population Divided into Eight Groups (1984) (1)
- A Simple Model for Gonorrhea Dynamics (1984) (1)
- A Refined Model for Gonorrhea Dynamics (1984) (1)
- Background on the Epidemiology and Modeling of HIV/AIDS (1992) (0)
- Homosexual Men in San Francisco: Estimation of Parameters and Incidences (1992) (0)
- Racial/Ethnic Patterns of AIDS in the United States (1992) (0)
- Book reviews (1993) (0)
- Regional Comparisons of HIV and AIDS in Risk Groups (1992) (0)
- Formulation of the Simulation Model for Homosexual Men (1992) (0)
- Modeling the Progression of HIV-Infected Persons to AIDS (1992) (0)
- Hopf Bifurcation in Models for Pertussis Epidemiology Hopf Bifurcation in Models for Pertussis Epidemiology (2020) (0)
- Homosexual Men in San Francisco: Simulations and Sensitivity Analysis (1992) (0)
- Mathematical modeling of pertussis epidemiology (1996) (0)
- Modeling Gonorrhea Transmission in a Heterosexual Population (1984) (0)
- Mathematical Analysis of the Model for Homosexual Men (1992) (0)
- The HIV Transmission Dynamics Model for Five Major Risk Groups (1992) (0)
- $95.00 (cloth), 757 pp.Roy M. Anderson and Robert M. May, Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, Oxford, U.K. (1991). (1993) (0)
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