- Mathematical and Theoretical Epidemiology and Ecology Models
- COVID-19 epidemiological studies
- Diabetes Management and Research
- Computational Drug Discovery Methods
- Evolution and Genetic Dynamics
- Mathematical Biology Tumor Growth
- Advanced Control Systems Design
- Fractional Differential Equations Solutions
Ambedkar University Delhi
2023-2025
This study proposes a dynamical epidemic model $SIR$ incorporating nonlinear saturated incidence and recovery rates. The considers the influence of available resources, ratio infected population, decrease interventions on spread infectious diseases. use incident rate as monoid-type equation improves compared to constant-type because infection is now determined by force illness number individuals disseminate infection. consideration rate, which includes minimum maximum feasible rates amount...
This paper presents a restricted SIR mathematical model to analyze the evolution of contagious infectious disease outbreak (COVID-19) using available data.The new focuses on two main concepts: first, it can present multiple waves disease, and second, analyzes how far an infection be eradicated with help vaccination.The stability analysis equilibrium points for suggested is initially investigated by identifying matching examining their stability.The basic reproduction number calculated,...
Diabetes is a chronic disease and major public health concern all over the world, even when made feasible to learn about root cause of by awareness along with methods prevention. This study introduces mathematical deterministic model that describes progression type 2 diabetes, integrating component saturation treatment function named Holling II. The presented work investigates numerically analyzes impact various strategies, such as consistent physical activity, healthy diet, access medical...
Unbalanced lifestyles and other underlying medical conditions are responsible for the worrying pace at which diabetes mellitus is becoming a global health crisis. Recent studies suggest that placing diabetic patient into remission through rigorous lifestyle change program can normalize blood glucose levels. This research focuses on fractional order derivative-based mathematical modeling analysis of model with parameters. Firstly, existence uniqueness solution discussed. Non-negativity...