Timothy C Reluga

Summary

Affiliation: Yale University School of Medicine
Country: USA

Publications

  1. doi request reprint The importance of being atomic: Ecological invasions as random walks instead of waves
    Timothy C Reluga
    Department of Mathematics and the Center for Infectious Disease Dynamics, The Pennsylvania State University, University Park, PA 16802, United States Electronic address
    Theor Popul Biol 112:157-169. 2016
  2. pmc Population viscosity suppresses disease emergence by preserving local herd immunity
    Timothy C Reluga
    Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
    Proc Biol Sci 281:20141901. 2014
  3. doi request reprint Equilibria of an epidemic game with piecewise linear social distancing cost
    Timothy C Reluga
    Department of Mathematics, Department of Biology, Pennsylvania State University, University Park, PA, 16802, USA
    Bull Math Biol 75:1961-84. 2013
  4. doi request reprint Games of age-dependent prevention of chronic infections by social distancing
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
    J Math Biol 66:1527-53. 2013
  5. doi request reprint An SIS epidemiology game with two subpopulations
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, University Park, PA, USA
    J Biol Dyn 3:515-31. 2009
  6. pmc A general approach for population games with application to vaccination
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, State College, PA 16802, USA
    Math Biosci 230:67-78. 2011
  7. pmc The discounted reproductive number for epidemiology
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, State College, PA 16802, United States
    Math Biosci Eng 6:377-93. 2009
  8. pmc Backward bifurcations and multiple equilibria in epidemic models with structured immunity
    Timothy C Reluga
    Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
    J Theor Biol 252:155-65. 2008
  9. pmc Reservoir interactions and disease emergence
    T Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Theor Popul Biol 72:400-8. 2007
  10. ncbi request reprint Optimal timing of disease transmission in an age-structured population
    Timothy C Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Bull Math Biol 69:2711-22. 2007

Detail Information

Publications16

  1. doi request reprint The importance of being atomic: Ecological invasions as random walks instead of waves
    Timothy C Reluga
    Department of Mathematics and the Center for Infectious Disease Dynamics, The Pennsylvania State University, University Park, PA 16802, United States Electronic address
    Theor Popul Biol 112:157-169. 2016
    ..The paper concludes with a classification of invasion dynamics based on dispersal kernel tails...
  2. pmc Population viscosity suppresses disease emergence by preserving local herd immunity
    Timothy C Reluga
    Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
    Proc Biol Sci 281:20141901. 2014
    ..Our theory of bridge communities may help guide prevention and explain historical emergence events, where disruption of stable economic, political or demographic processes reduced population viscosity at ecological interfaces. ..
  3. doi request reprint Equilibria of an epidemic game with piecewise linear social distancing cost
    Timothy C Reluga
    Department of Mathematics, Department of Biology, Pennsylvania State University, University Park, PA, 16802, USA
    Bull Math Biol 75:1961-84. 2013
    ..This can be used to anticipate a window of opportunity during which mass vaccination can significantly reduce the cost of an epidemic. ..
  4. doi request reprint Games of age-dependent prevention of chronic infections by social distancing
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
    J Math Biol 66:1527-53. 2013
    ..Returning to a general case, we also describe a game with continuous age-structure using partial-differential equations, numerically identify some Nash equilibria, and conjecture about uniqueness...
  5. doi request reprint An SIS epidemiology game with two subpopulations
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, University Park, PA, USA
    J Biol Dyn 3:515-31. 2009
    ..When mixing is disassortative, interior Nash equilibria are always unstable. When mixing is positively assortative, there is a unique Nash equilibrium that is globally stable...
  6. pmc A general approach for population games with application to vaccination
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, State College, PA 16802, USA
    Math Biosci 230:67-78. 2011
    ..These methods can be applied to a wide variety of decision problems with population-dynamic feedbacks...
  7. pmc The discounted reproductive number for epidemiology
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, State College, PA 16802, United States
    Math Biosci Eng 6:377-93. 2009
    ....
  8. pmc Backward bifurcations and multiple equilibria in epidemic models with structured immunity
    Timothy C Reluga
    Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
    J Theor Biol 252:155-65. 2008
    ..Neutralizing antibody titer data for measles are used to demonstrate the biological application of our theory...
  9. pmc Reservoir interactions and disease emergence
    T Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Theor Popul Biol 72:400-8. 2007
    ..Thus, these results warn against perpetuated interaction between humans and animal reservoirs, as occurs when there are ecological or environmental changes that bring humans into more frequent contact with animal reservoirs...
  10. ncbi request reprint Optimal timing of disease transmission in an age-structured population
    Timothy C Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Bull Math Biol 69:2711-22. 2007
    ..This provides a rigorous justification of the concept of "endemic stability," and demonstrates that folk-practices may have been historically justified...
  11. ncbi request reprint Resistance mechanisms matter in SIR models
    Timothy C Reluga
    Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
    Math Biosci Eng 4:553-63. 2007
    ..Care must be exercised to ensure that modeling assumptions about resistance are consistent with the biological mechanisms under study...
  12. ncbi request reprint Evolving public perceptions and stability in vaccine uptake
    Timothy C Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Math Biosci 204:185-98. 2006
    ..This research illustrates the importance of applying temporal models to an inherently temporal situation, namely, the time evolution of vaccine coverage in an informed population with a voluntary vaccination policy...
  13. pmc Game theory of social distancing in response to an epidemic
    Timothy C Reluga
    Department of Mathematics, Pennsylvania State University, State College, Pennsylvania, United States of America
    PLoS Comput Biol 6:e1000793. 2010
    ..We also show how the window of opportunity for vaccine development lengthens as the efficiency of social distancing and detection improve...
  14. ncbi request reprint A model of spatial epidemic spread when individuals move within overlapping home ranges
    Timothy C Reluga
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Bull Math Biol 68:401-16. 2006
    ..We also calculate approximate upper bounds for the rates of an epidemic's spatial spread. Guidelines are suggested for determining which limit is most appropriate for a specific disease...
  15. pmc Long-standing influenza vaccination policy is in accord with individual self-interest but not with the utilitarian optimum
    Alison P Galvani
    Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, USA
    Proc Natl Acad Sci U S A 104:5692-7. 2007
    ..Our results reveal possible strategies to bring Nash and utilitarian vaccination levels into alignment...
  16. ncbi request reprint Provisioning of Public Health Can Be Designed to Anticipate Public Policy Responses
    Jing Li
    Department of Mathematics, California State University, Northridge, Northridge, CA, 91330, USA
    Bull Math Biol . 2016
    ..Our methods illustrate how identifying system interactions between nature and society can help us anticipate policy responses...