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

Autor: Jose, Sayooj Aby, Raja, R., Omede, B. I., Agarwal, Ravi P., Alzabut, J., Cao, J., Balas, V. E.
Zdroj: Nonlinear Dynamics; Mar2023, Vol. 111 Issue 5, p4879-4914, 36p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index