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An immuno-eco-epidemiologica lmodel of competition.
- Source :
- Journal of Biological Dynamics; 2016, Vol. 10 Issue 1, p314-341, 28p
- Publication Year :
- 2016
-
Abstract
- This paper introduces a novel immuno-eco-epidemiological model of competition in which one of the species is affected by a pathogen. The infected individuals from species one are structured by time since- infection and the within-host dynamics of the pathogen and the immune response is also modelled. A novel feature of the model is the impact of the species two numbers on the ability of species one to mount an immune response. The within-host model has three equilibria: an extinction equilibrium, pathogen-only equilibrium and pathogen and immune response equilibrium which exists if the immune response reproduction number R<subscript>0</subscript> > 1. The extinction equilibrium is always unstable, the pathogen-only equilibrium is stable if R<subscript>0</subscript> < 1, and the coexistence equilibrium is stable whenever it exists. The between-host competition model has six equilibria: an extinction equilibrium, three disease-free equilibria: species one-only equilibrium, species two-only equilibrium and a disease-free species coexistence equilibrium. There are also two disease-present equilibria: species one-only disease equilibrium and disease coexistence equilibrium. The existence and stability of these equilibria are governed by six reproduction numbers. Results show that for a nonfatal disease, the disease coexistence equilibrium is stable whenever it exists. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17513758
- Volume :
- 10
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Biological Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 117963763
- Full Text :
- https://doi.org/10.1080/17513758.2016.1186291