Journal of Mathematical Biology

, Volume 70, Issue 6, pp 1381–1409

Is more better? Higher sterilization of infected hosts need not result in reduced pest population size

  • Daniel Maxin
  • Luděk Berec
  • Adrienna Bingham
  • Denali Molitor
  • Julie Pattyson
Article

DOI: 10.1007/s00285-014-0800-0

Cite this article as:
Maxin, D., Berec, L., Bingham, A. et al. J. Math. Biol. (2015) 70: 1381. doi:10.1007/s00285-014-0800-0
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Abstract

We analyze the effect of sterilization in the infected hosts in several epidemiological models involving infectious diseases that can be transmitted both vertically and horizontally. Sterilizing pathogens can be used as pest control agents by intentionally inoculating the target population, with the goal of reducing or eliminating it completely. Contrary to previous models that did not include vertical transmission we found that the population size at the endemic equilibrium may actually increase with higher levels of sterility. This effect is proved to exist for low to high efficiencies of vertical transmission. On the other hand, if the disease is sexually transmitted and the host reproduction and disease transmission are both consistently mediated by mating, we do not observe such a counter-intuitive effect and the population size in the stable endemic equilibrium is decreasing with higher levels of sterility. We suggest that models of the pest control techniques involving the release of sterilizing pathogens have to carefully consider the routes such pathogens use for transmission.

Keywords

Vertical transmissionPest controlSterilization

Mathematics Subject Classification

92D3092D40

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Daniel Maxin
    • 1
  • Luděk Berec
    • 2
  • Adrienna Bingham
    • 3
  • Denali Molitor
    • 4
  • Julie Pattyson
    • 5
  1. 1.Department of Mathematics and Computer ScienceValparaiso UniversityValparaisoUSA
  2. 2.Department of Biosystematics and EcologyInstitute of Entomology, Biology Centre ASCRCeske BudejoviceCzech Republic
  3. 3.Department of Mathematics and Computer ScienceAngelo State UniversitySan AngeloUSA
  4. 4.Department of Mathematics and Computer ScienceColorado CollegeColorado SpringsUSA
  5. 5.Department of Mathematical SciencesUniversity of Saint JosephWest HartfordUSA