Density-dependent dynamics and superinfection in an epidemic model.

  • Mena-Lorca J
  • Velasco-Hernandez J
  • Castillo-Chavez C
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Abstract

A mathematical model of the interaction between two pathogen strains and a single host population is studied. Variable population size, density-dependent mortality, disease-related deaths (virulence), and superinfection are incorporated into the model. Results indicate that coexistence of the two strains is possible depending on the magnitude of superinfection. Global asymptotic stability of the steady-state that gives coexistence for both strains under suitable and biologically feasible constraints is proved.

Author-supplied keywords

  • Communicable Diseases
  • Communicable Diseases: epidemiology
  • Epidemiologic Methods
  • Humans
  • Mathematics
  • Models, Statistical

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Authors

  • J Mena-Lorca

  • J X Velasco-Hernandez

  • C Castillo-Chavez

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