A Dynamic SIQVR-SE Model Incorporating Environmental Viral Load and Public Health Interventions:AnEpidemiologicalAnalysisofCOVID-19 Transmission in Gorakhpur District

Author(s)	Dr. Uma Shankar Shukla
Country	India
Abstract	ThisstudyintroducesadynamicSIQVR-SEcompartmentalepidemiologicalmodeltoanalyze the transmission dynamics of COVID-19 in Gorakhpur district, India, by incorporating environmental viral load and public health interventions. The model segments the population intosusceptible(S),exposed(E),infected(I),quarantined(Q),virusload(V),andrecovered (R) groups and evaluates the impact of variables such as contact tracing, isolation rate, and viral persistence. Using actual COVID-19 data from Gorakhpur over a two-year period, we performed numerical simulations to explore the evolution of infection, quarantine efficiency, and environmental viral effects. Sensitivity and equilibrium analyses were conducted to identify critical thresholds like the basic reproduction number (R0). The model indicates that timely interventions and environmental decontamination significantly flatten the infection curve.Phaseportraitsandtime-seriessimulationsunderlinetheimportanceofintegratedhealth policies in epidemic control.
Keywords	SIQVR-SE model, COVID-19, virus persistence, public health intervention, Gorakhpur, simulation, quarantine, exposure dynamics, equilibrium analysis, mathematical modeling.
Field	Mathematics
Published In	Volume 7, Issue 5, September-October 2025
Published On	2025-09-05
DOI	https://doi.org/10.36948/ijfmr.2025.v07i05.54688

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