A two-strain epidemic model with mutant strain and vaccination

In this paper, it is assumed that the spread of a pathogen can mutate in the host to create a second, cocirculating, mutant strain. Vaccinated individuals perhaps becomes infected after being in contact with individuals infected with mutant strain. A two-strain epidemic model with vaccination is fir...

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2012-10, Vol.40 (1-2), p.125-142
Main Authors: Cai, Liming, Xiang, Jingjing, Li, Xuezhi, Lashari, Abid Ali
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Disease transmission
Epidemiology
Equilibrium
Immunity (Disease)
Immunization
Infections
Infectious diseases
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Mutation
Original Research
Pathogens
Studies
Theory of Computation
Vaccines
Virulence
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Summary:In this paper, it is assumed that the spread of a pathogen can mutate in the host to create a second, cocirculating, mutant strain. Vaccinated individuals perhaps becomes infected after being in contact with individuals infected with mutant strain. A two-strain epidemic model with vaccination is firstly investigated. The existence and stability properties of equilibria in this model are examined. By analyzing the characteristic equation and constructing Lyapunov functions, the conditions for local and global stability of the infection-free, boundary and endemic equilibria are established. The existence of Hopf bifurcation from the endemic equilibrium is also examined as this equilibrium loses its stability. Our theoretical results are confirmed by numerical simulations.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-012-0580-x