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A generalized nonautonomous SIRVS model
Author(s) -
Pereira Edgar,
Silva César M.,
Silva Jacques A.L.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2586
Subject(s) - mathematics , extinction (optical mineralogy) , basic reproduction number , mathematical economics , reproduction , calculus (dental) , ecology , demography , sociology , physics , medicine , population , dentistry , biology , optics
A nonautonomous SIRVS model with time‐dependent parameters is considered. The global dynamics is investigated, and conditions for the permanence, extinction, and disease‐free equilibrium are studied. Substitute quantities that replace the basic reproduction number are presented. Numerical simulations illustrate the dynamic behavior of the proposed model. Copyright © 2012 John Wiley & Sons, Ltd.