Authors: Dr. Vijayalakshmi. N, Dr. Narayanaswamy. A. M
Abstract: This study develops and tests a lightweight, auditable framework for mobilizing faith based and community actors in elder care while safeguarding equity and environmental responsibility. We formalize program effect as I(c,f)=c^a f^b with a,b∈(0,1), where c is coverage (share of eligible elders served) and f is fidelity (task adherence/quality). System performance is summarized by a composite S=w^⊤ [c,f,e,x_"env " ], an equity index e (via subgroup-coverage dispersion), an environmental guardrail x_"env " (inverse footprint per service unit), and a gap-to-targets metric G=‖x^"policy " -x^"obs " ‖_2. Using mixed methods and quarterly panels from representative FBCO models (urban navigator, rural day-club, multi-faith helpline), we show that small, concurrent gains in c and f compound multiplicatively to lift I, while targeted retuning of e prevents improvements from bypassing high-need subgroups. An implementable decision rulechoose the action with the largest marginal impact per rupee max{(∂I/∂c)/k_c,(∂I/∂f)/k_f }, subject to capacity c≤H/(τP), equity thresholds, and sustainability guardrails-links budgets to measurable outcomes. A RE-AIM monitoring cadence and a Pareto screen for cost-impact-footprint trade-offs support quarterly course corrections. The result is a practical pathway from community assets to verified improvements in reach, quality, equity, and low-footprint delivery for older adults.
DOI: https://doi.org/10.5281/zenodo.17615199
