Herbert Hethcote

Summary

Affiliation: University of Iowa
Country: USA

Publications

  1. ncbi request reprint Effects of quarantine in six endemic models for infectious diseases
    Herbert Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242 1419, USA
    Math Biosci 180:141-60. 2002
  2. ncbi request reprint A predator-prey model with infected prey
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA
    Theor Popul Biol 66:259-68. 2004
  3. ncbi request reprint Species coexistence and periodicity in host-host-pathogen models
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, 52242, USA
    J Math Biol 51:629-60. 2005
  4. ncbi request reprint Using computer simulations to compare pertussis vaccination strategies in Australia
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA
    Vaccine 22:2181-91. 2004
  5. ncbi request reprint Competing species models with an infectious disease
    Roberto A Saenz
    Applied Mathematical and Computational Sciences, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242
    Math Biosci Eng 3:219-35. 2006
  6. ncbi request reprint Adolescent and adult pertussis vaccination: computer simulations of five new strategies
    Annelies Van Rie
    Department of Epidemiology, University of North Carolina, 2104F McGavran Greenberg Hall, Chapel Hill, NC 27599 7435, USA
    Vaccine 22:3154-65. 2004
  7. pmc Confined animal feeding operations as amplifiers of influenza
    Roberto A Saenz
    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK
    Vector Borne Zoonotic Dis 6:338-46. 2006

Detail Information

Publications7

  1. ncbi request reprint Effects of quarantine in six endemic models for infectious diseases
    Herbert Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242 1419, USA
    Math Biosci 180:141-60. 2002
    ..The Hopf bifurcation surface and stable periodic solutions are found numerically...
  2. ncbi request reprint A predator-prey model with infected prey
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA
    Theor Popul Biol 66:259-68. 2004
    ..Also the predation on the more vulnerable prey can cause the disease to die out, when it would remain endemic without the predators...
  3. ncbi request reprint Species coexistence and periodicity in host-host-pathogen models
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, 52242, USA
    J Math Biol 51:629-60. 2005
    ..The results given here reinforce previous examples in which there are major differences in behavior between models using mass-action and frequency-dependent incidences...
  4. ncbi request reprint Using computer simulations to compare pertussis vaccination strategies in Australia
    Herbert W Hethcote
    Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA
    Vaccine 22:2181-91. 2004
    ....
  5. ncbi request reprint Competing species models with an infectious disease
    Roberto A Saenz
    Applied Mathematical and Computational Sciences, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242
    Math Biosci Eng 3:219-35. 2006
    ..Models of SIR and SIRS type are also considered. A key result in all of these models with the frequency-dependent incidence is that the disease must either die out in both species or remain endemic in both species...
  6. ncbi request reprint Adolescent and adult pertussis vaccination: computer simulations of five new strategies
    Annelies Van Rie
    Department of Epidemiology, University of North Carolina, 2104F McGavran Greenberg Hall, Chapel Hill, NC 27599 7435, USA
    Vaccine 22:3154-65. 2004
    ....
  7. pmc Confined animal feeding operations as amplifiers of influenza
    Roberto A Saenz
    Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK
    Vector Borne Zoonotic Dis 6:338-46. 2006
    ..A human influenza epidemic due to a new virus could be locally amplified by the presence of confined animal feeding operations in the community. Thus vaccination of CAFO workers would be an effective use of a pandemic vaccine...