Vector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulate a parametric discrete-time chaotic system that involves an environmental factor causing VBD. Our suggestion is to study how the inclusion of the parasitic transmission media (PTM) in the system would impact the analysis results. We consider a chaotic formula of the PTM impact, separating two types of functions, the host and the parasite. The considered applications are typically characterized by chaotic dynamics, and thus chaotic systems are suitable for their modeling, with corresponding model parameters, that depend on control measures. Dynamical performances of the suggested system and its global stability are considered.