My research lies at the intersection of mathematics and biology, with a focus on the mathematical modeling of infectious diseases. I specialize in applying fractional-order differential equations, delay systems, and optimal control techniques to understand the complex dynamics of epidemic spread. I am particularly interested in how spatial heterogeneity, incubation delays, and behavioral responses impact disease progression. My work also involves chaos control, sensitivity analysis, and cost-effectiveness strategies to support public health decision-making. Through interdisciplinary collaboration, I aim to contribute to more effective and predictive models for real-world biological systems.
Mathematical modeling of infectious diseases (e.g., monkeypox, dengue, HFMD)
Fractional-order differential equations and their applications in epidemiology
Optimal control theory applied to epidemic management
Spatio-temporal dynamics and reaction-diffusion models
Stability analysis, chaos control, and pattern formation in eco-epidemiological systems
Cost-effectiveness and sensitivity analysis of public health interventions
Use of machine learning tools (e.g., ANFIS) in analyzing epidemic trends