Abstract

Themovie Ben-Hur highlights the dynamics of contagion associated with leprosy, a pattern of forced aggregation driven by the emergence of symptoms and the fear of contagion. The 2014 Ebola outbreaks reaffirmed the dynamics of redistribution among symptomatic and asymptomatic or non-infected individuals as a way to avoid contagion. In this manuscript, we explore the establishment of clusters of infection via density-dependence avoidance (diffusive instability). We illustrate this possibility in two ways: using a phenomenological driven model where disease incidence is assumed to be a decreasing function of the size of the symptomatic population and with a model that accounts for the deliberate movement of individuals in response to a gradient of symptomatic infectious individuals. The results in this manuscript are preliminary but indicative of the role that behavior, here modeled in crude simplistic ways, may have on disease dynamics, particularly on the spatial redistribution of epidemiological classes.

Original languageEnglish (US)
Title of host publicationMathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases
PublisherSpringer International Publishing
Pages169-185
Number of pages17
ISBN (Electronic)9783319404134
ISBN (Print)9783319404110
DOIs
StatePublished - Jan 1 2016

Fingerprint

Contagion
Bees
Aggregation
Redistribution
Leprosy
Population Density
Fear
Disease Outbreaks
Density Dependence
Infection
Incidence
Model
Gradient

Keywords

  • Behavior epidemics
  • Behavioral ecology
  • Diffusive instability
  • Ebola
  • Infection clusters
  • Leprosy

ASJC Scopus subject areas

  • Mathematics(all)
  • Medicine(all)

Cite this

Yong, K. E., Díaz Herrera, E., & Castillo-Chavez, C. (2016). From bee species aggregation to models of disease avoidance: The ben-hur effect. In Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases (pp. 169-185). Springer International Publishing. https://doi.org/10.1007/978-3-319-40413-4_11

From bee species aggregation to models of disease avoidance : The ben-hur effect. / Yong, K. E.; Díaz Herrera, E.; Castillo-Chavez, Carlos.

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases. Springer International Publishing, 2016. p. 169-185.

Research output: Chapter in Book/Report/Conference proceedingChapter

Yong, KE, Díaz Herrera, E & Castillo-Chavez, C 2016, From bee species aggregation to models of disease avoidance: The ben-hur effect. in Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases. Springer International Publishing, pp. 169-185. https://doi.org/10.1007/978-3-319-40413-4_11
Yong KE, Díaz Herrera E, Castillo-Chavez C. From bee species aggregation to models of disease avoidance: The ben-hur effect. In Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases. Springer International Publishing. 2016. p. 169-185 https://doi.org/10.1007/978-3-319-40413-4_11
Yong, K. E. ; Díaz Herrera, E. ; Castillo-Chavez, Carlos. / From bee species aggregation to models of disease avoidance : The ben-hur effect. Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases. Springer International Publishing, 2016. pp. 169-185
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