Stability on coupling SIR epidemic model with vaccination | Zendy

Helong Liu | Zendy; Houbao Xu | Zendy; Jingyuan Yu | Zendy; Guangtian Zhu | Zendy

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Stability on coupling SIR epidemic model with vaccination

Author(s) -

Helong Liu,

Houbao Xu,

Jingyuan Yu,

Guangtian Zhu

Publication year - 2005

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/jam.2005.301

Subject(s) - epidemic model , semigroup , stability (learning theory) , population , mathematics , coupling (piping) , vaccination , stability theory , mathematical economics , pure mathematics , demography , virology , computer science , medicine , physics , nonlinear system , mechanical engineering , machine learning , quantum mechanics , sociology , engineering

We develop a mathematical model for the disease which can betransmitted via vector and through blood transfusion in hostpopulation. The host population is structured by the chronologicalage. We assume that the instantaneous death and infection ratesdepend on the age. Applying semigroup theory and so forth, weinvestigate the existence of equilibria. We also discuss localstability of steady states

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