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 language | English |
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Pages (from-to) | 1231-1252 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 22 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jun 2017 |
Keywords
- Characteristic equation
- Mathematical epidemiology
- Phage therapy
- Semilinear formulation
- Spatially structured population
- Steady state stability