This article
focuses on the study of an age-structured
two-strain model with super-infection. The explicit expression of
basic reproduction numbers and the invasion reproduction numbers
corresponding to strain one and strain two are obtained. It is
shown that the infection-free steady state is globally stable if
the basic reproductive number $ R_0 $ is below one. Existence
of strain one and strain two exclusive equilibria is established.
Conditions for local stability or instability
of the exclusive equilibria of the
strain one and strain two are established. Existence of
coexistence equilibrium is also obtained under the condition that both
invasion reproduction numbers are larger than one.
Citation: Xue-Zhi Li, Ji-Xuan Liu, Maia Martcheva. An age-structured two-strain epidemic modelwith super-infection[J]. Mathematical Biosciences and Engineering, 2010, 7(1): 123-147. doi: 10.3934/mbe.2010.7.123
Abstract
This article
focuses on the study of an age-structured
two-strain model with super-infection. The explicit expression of
basic reproduction numbers and the invasion reproduction numbers
corresponding to strain one and strain two are obtained. It is
shown that the infection-free steady state is globally stable if
the basic reproductive number $ R_0 $ is below one. Existence
of strain one and strain two exclusive equilibria is established.
Conditions for local stability or instability
of the exclusive equilibria of the
strain one and strain two are established. Existence of
coexistence equilibrium is also obtained under the condition that both
invasion reproduction numbers are larger than one.
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