Mathematics-Driven Models for Sustainable Growth and Policy Design

Author(s)	Dr. Jayprakash Satyanarayan Yadav
Country	India
Abstract	Sustainable growth represents a central challenge in contemporary development theory, requiring the reconciliation of economic expansion with environmental preservation and social equity. Mathematics-driven models offer a rigorous analytical framework to examine the dynamic interactions among capital accumulation, resource utilization, technological progress, and policy intervention. This paper presents an extensive study of mathematical models for sustainable growth, emphasizing differential equations, dynamical systems, optimization, and control theory. Particular attention is given to equilibrium analysis, stability conditions, and policy design mechanisms. The study highlights the role of mathematical modeling as a decision-support tool for sustainable development planning and long-term policy formulation.
Keywords	Sustainable Growth, Mathematical Modeling, Dynamical Systems, Optimal Control, Resource Economics, Policy Design
Field	Mathematics
Published In	Volume 8, Issue 2, March-April 2026
Published On	2026-03-17

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