Abstract：
:This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information campaign, direct contacts between unaware and aware individuals, and reported cases of infection. It is assumed that there is some time delay between individuals becoming aware and modifying their behaviour. Vaccination is administered to newborns, as well as to aware individuals, and it is further assumed that vaccine-induced immunity may wane with time. Feasibility and stability of the disease-free and endemic equilibria are studied analytically, and conditions for the Hopf bifurcation of the endemic steady state are found in terms of system parameters and the time delay. Analytical results are supported by numerical continuation of the Hopf bifurcation and numerical simulations of the model to illustrate different types of dynamical behaviour.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Agaba GO,Kyrychko YN,Blyuss KBdoi
10.1016/j.mbs.2017.09.007subject
Has Abstractpub_date
2017-12-01 00:00:00pages
92-99eissn
0025-5564issn
1879-3134pii
S0025-5564(17)30075-5journal_volume
294pub_type
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