A nonlinear system dynamics and simulation analysis of fractional order modelling on employees negative attitude towards their workplace with intervention strategies

Abstract

In this paper, we have formulated and analyzed a Caputo fractional order mathematical model with intervention strategies on employees’ negative attitudes towards the workplace. Non-negativity and boundedness of the dynamical system solutions have been analyzed. The existence and stability of negative attitude-free and negative attitude endemic equilibrium points of the Caputo fractional order model were investigated and analyzed. The negative attitude-free equilibrium is local stability. The backward bifurcation of the Caputo fractional order model was conditionally analyzed whenever the effective reproduction number could be less than one. Further, we performed our analytical results through numerical simulations and obtained consistent results. Efficient employee protection and treatment of negative attitudes toward the workplace reduce and potentially removes negative attitudes from the employees.