摘要：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 timesince-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 R0 > 1. The extinction equilibrium is always unstable, the pathogen-only equilibrium
is stable if R0 < 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 oneonly 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.
