Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever

In this paper, a deterministic mathematical model for Dengue Fever (DF) and Zika virus (ZIKV) co-infection transmission dynamics is formulated and analyzed. Two sub-models, namely ZIKV-only and DF-only sub-models, are considered first of all. Rigorous qualitative analysis of the sub-models reveals t...

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Bibliographic Details
Published in:Nonlinear dynamics 2023-03, Vol.111 (5), p.4879-4914
Main Authors: Jose, Sayooj Aby, Raja, R., Omede, B. I., Agarwal, Ravi P., Alzabut, J., Cao, J., Balas, V. E.
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcation theory
Centre manifold theory
Classical Mechanics
Control
Dengue fever
Disease control
Dynamical Systems
Engineering
Immunization
Mathematical analysis
Mathematical models
Mechanical Engineering
Mosquitoes
Original Paper
Qualitative analysis
Vibration
Viral diseases
Viruses
Zika virus
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Summary:In this paper, a deterministic mathematical model for Dengue Fever (DF) and Zika virus (ZIKV) co-infection transmission dynamics is formulated and analyzed. Two sub-models, namely ZIKV-only and DF-only sub-models, are considered first of all. Rigorous qualitative analysis of the sub-models reveals that each of the diseases undergoes the phenomenon of backward bifurcation when the associated reproduction number of both ZIKV-only and DF-only sub-models (denoted by R 0 z + and R 0 d respectively) is less than unity. It is shown, using the centre manifold theory that the full ZIKV-DF co-infection model undergoes a backward bifurcation phenomenon. In addition, simulation of the full ZIKV-DF model shows the clear picturization of disease transmission and also we provide the solution of model numerically in detail.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-08063-5