TY - JOUR
T1 - Modeling the effects of information-dependent vaccination behavior on meningitis transmission
AU - Buonomo, Bruno
AU - d'Onofrio, Alberto
AU - Kassa, Semu Mitiku
AU - Workineh, Yetwale Hailu
N1 - Funding Information:
The present work has been performed under the auspices of the Italian National Group for the Mathematical Physics (GNFM) of National Institute for Advanced Mathematics (INdAM). The authors B.B., S.M.K., and Y.H.W. gratefully acknowledge the University of Naples Federico II that supported their research through the project entitled in the framework of “NAASCO,” bilateral agreement of scientific cooperation between the University of Naples Federico II and the Addis Ababa University. S. M. K. is supported by Botswana International University of Science and Technology (BIUST) through the BIUST Initiation grant DVC/RDI/2/1/161(34). The authors are grateful to the anonymous reviewers for their constructive comments. Open Access Funding provided by Universita degli Studi di Napoli Federico II within the CRUI‐CARE Agreement. Advanced dynamical systems for the analysis and control of transmission of infectious diseases
Publisher Copyright:
© 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.
PY - 2021/9/30
Y1 - 2021/9/30
N2 - We propose a mathematical model to investigate the effects of information–dependent vaccination behavior on meningitis transmission. The information is represented by means of information index as early proposed by d'Onofrio et al. (Theor. Popul. Biol., 2007). We perform a qualitative analysis based on stability theory, focusing to the global stability of the disease-free equilibrium (DFE) and the related transcritical bifurcation taking place at the threshold for the DFE. Finally, we assess the role of epidemiological and information parameters in the model dynamics through numerical simulations. Our simulations suggests that the impact of the parameters that are related to human behavior critically depend on the average information delay. For example, it can induce recurrent epidemics, provided that transfer rate from the carrier to the infectious state is over a threshold. Otherwise, the endemic equilibrium is (at least) locally stable.
AB - We propose a mathematical model to investigate the effects of information–dependent vaccination behavior on meningitis transmission. The information is represented by means of information index as early proposed by d'Onofrio et al. (Theor. Popul. Biol., 2007). We perform a qualitative analysis based on stability theory, focusing to the global stability of the disease-free equilibrium (DFE) and the related transcritical bifurcation taking place at the threshold for the DFE. Finally, we assess the role of epidemiological and information parameters in the model dynamics through numerical simulations. Our simulations suggests that the impact of the parameters that are related to human behavior critically depend on the average information delay. For example, it can induce recurrent epidemics, provided that transfer rate from the carrier to the infectious state is over a threshold. Otherwise, the endemic equilibrium is (at least) locally stable.
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U2 - 10.1002/mma.7808
DO - 10.1002/mma.7808
M3 - Article
AN - SCOPUS:85115965094
SN - 0170-4214
VL - 45
SP - 732
EP - 748
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 2
ER -
