Stability analysis of an enteropathogen population growing within a heterogeneous group of animals

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Abstract

An autonomous semi-linear hyperbolic pde system for the prolifer-ation of bacteria within a heterogeneous population of animals is presented and analysed. It is assumed that bacteria grow inside the intestines and that they can be either attached to the epithelial wall or as free particles in the lumen. A condition involving ecological parameters is given, which can be used to decide the existence of endemic equilibria as well as local stability properties of the non-endemic one. Some implications on phage therapy are addressed.
Original languageEnglish
Pages (from-to)1231-1252
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume22
Issue number4
DOIs
Publication statusPublished - 1 Jun 2017

Keywords

  • Characteristic equation
  • Mathematical epidemiology
  • Phage therapy
  • Semilinear formulation
  • Spatially structured population
  • Steady state stability

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