The dynamics analysis of Gompertz virus disease model under impulsive control.

Abstract in brief

• The paper introduces a new mathematical model to understand the spread of Gompertz virus disease, particularly focusing on how it behaves over time when control measures are applied impulsively, like sudden interventions.
• The study investigates key features of the model, such as whether the disease will persist indefinitely (permanence) and if the system will stabilize exponentially to a disease-free state, providing conditions under which these behaviors occur.
• Numerical simulations are used to confirm the theoretical findings, demonstrating how the model behaves in practice and validating the conclusions about disease control and stability.]