Part I: Classical and Fractional Approaches to Infectious Disease Modeling 1. Mathematical and AI-Based Approaches in Epidemiology: Foundations and Frontiers 2. Comparative Numerical Methods for Infectious Disease Dynamics: Application to SEIR-type Models 3. Fractional Order Modeling and Stability Analysis of Vector-Borne Diseases: Application to Japanese Encephalitis Transmission 4. Optimal Control of Infectious Diseases Using Fractional Calculus: Application to Dengue Control via Atangana-Baleanu Model Part II: Artificial Intelligence and Advanced Modeling in Epidemiology 5. Eco-Epidemiological Modeling with Memory Effects: Application to Fear, Quarantine, and Prey-Predator Interactions via Mittag-Leffler Kernel 6. Stochastic Analysis of Epidemic Models Under Random Perturbations: Application to SIR and SIRS Dual Epidemics 7. Deep Learning-Based Optimal Control Frameworks in Epidemiology: Application to Dengue Transmission Prediction and Control 8.

AI-Driven Fractional Order Models for Emerging Viral Epidemics: Application to Oropouche Virus Outbreak Forecasting Part III: Mathematical, Statistical, and AI-Based Models in Biomedicine and Healthcare 9. Explainable AI and Computational Intelligence in Healthcare: Application to Clinical Decision Support and Personalized Medicine 10. Soft Computing Models of Biological Tissue Dynamics: Application to Viscoelastic Behavior of Biological Tissues 11. Mathematical Modeling of Cancer Progression: Application to Ductal Carcinoma of the Breast 12. Modeling Immune Response and Antiviral Therapy Dynamics: Application to HBV Infection in Hepatic and Extrahepatic Sites 13. Statistical Modeling and Evaluation of Polyherbal Formulations: Application to Management of Diabetic Foot Ulcers 14. Conclusion Prospects in computational epidemiology: challenges and emerging directions.