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

Carles Barril; Angel Calsina

doi:10.3934/dcdsb.2017060

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

Carles Barril, Angel Calsina

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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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 language	English
Pages (from-to)	1231-1252
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	22
Issue number	4
DOIs	https://doi.org/10.3934/dcdsb.2017060
Publication status	Published - 1 Jun 2017

Keywords

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

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title = "Stability analysis of an enteropathogen population growing within a heterogeneous group of animals",

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.",

keywords = "Characteristic equation, Mathematical epidemiology, Phage therapy, Semilinear formulation, Spatially structured population, Steady state stability",

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AU - Calsina, Angel

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N2 - 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.

AB - 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.

KW - Characteristic equation

KW - Mathematical epidemiology

KW - Phage therapy

KW - Semilinear formulation

KW - Spatially structured population

KW - Steady state stability

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DO - 10.3934/dcdsb.2017060

M3 - Article

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SP - 1231

EP - 1252

JO - Discrete and Continuous Dynamical Systems - Series B

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SN - 1531-3492

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ER -