Discrete-time evolution and stable equilibria of multi-compartment dengue tracker: nonlinear dynamics modulated by controlled stochasticity

We discuss the dynamics of solutions of a nonlinear discrete time model that will be useful in Dengue control. The proposed model may be utilized to analyze the dynamics of three variables (mosquito population, habitats and consciousness) across different parameters. Stochasticity has been introduced in realistic ways to highlight combinations of random parameters (on education and recollection) which limits the oscillatory recurrence of habitats and awareness. We propose optimal methods for implementing potential intervention strategies and offer interactive dashboards for vizualizing varied scenarios.