Open AccessA Study of the psychological impact of media using modified Beddington-DeAngelis function in the SIR model for contagious diseases
Author(s) -
Gurpreet Singh Tuteja
Publication year - 2021
Publication title -
psychology
Language(s) - English
Resource type - Journals
ISSN - 0033-3077
DOI - 10.17762/pae.v58i1.1200
Subject(s) - jacobian matrix and determinant , function (biology) , measure (data warehouse) , mathematics , epidemic model , dynamical systems theory , transmission (telecommunications) , stability (learning theory) , matrix (chemical analysis) , psychology , statistical physics , computer science , physics , demography , chemistry , telecommunications , population , chromatography , quantum mechanics , database , evolutionary biology , machine learning , biology , sociology
In this paper, we study mathematically the psychological effect of media on the transmission dynamics of contagious diseases [1]. The SIR model based on compartment theory[18] consisting of three compartments: susceptible, infected and recovered with the transmission function as modified Beddington-DeAngelis function including a parameter governing media awareness is considered. The governing differential equations are defined for the dynamical system. The reproduction number 0, of the model, is calculated using the Jacobian matrix method [12] and is found to depend on m (parameter controlling media) and δ (a measure of inhibition due to awareness of infected). The stability of the dynamical system at the equilibrium points is discussed. The numerical solution is obtained by varying the introduced parameters of the above-said function and analysed graphically.