Title: A mathematical study of dynamical model for Japanese encephalitis-dengue co-infection using JE vaccine

Authors: Ananya Dwivedi; Ram Keval; Vinod Baniya

Addresses: Department of Mathematics and Scientific Computing, Madan Mohan Malaviya University of Technology, Gorakhpur, UP, India ' Department of Mathematics and Scientific Computing, Madan Mohan Malaviya University of Technology, Gorakhpur, UP, India ' Department of Mathematics and Scientific Computing, Madan Mohan Malaviya University of Technology, Gorakhpur, UP, India

Abstract: A nonlinear deterministic mathematical model has been described with the co-infection dynamics of Japanese encephalitis (JE) and dengue disease, incorporating the JE vaccine. Basic mathematical results have been discussed along with their stabilities. By using center manifold theory, the model undergoes a backwards bifurcation phenomenon and this has occurred when the basic reproduction number is smaller than unity. Sensitivity analysis has been performed to determine which parameters significantly affect disease dynamics. The effects of these parameters on the transmission of disease were investigated using a numerical simulation. According to the findings, we ascertain that JE-dengue co-infection can be managed with the use of JE vaccine, also minimising JE transmission rate rapidly.

Keywords: JE-dengue co-infection; stability analysis; basic reproduction number; sensitivity analysis; bifurcation analysis.

DOI: 10.1504/IJMMNO.2022.126564

International Journal of Mathematical Modelling and Numerical Optimisation, 2022 Vol.12 No.4, pp.416 - 442

Received: 16 Nov 2021
Accepted: 28 Mar 2022
Published online: 28 Oct 2022 *

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