Punjab University Journal of Mathematics, Journal Year: 2025, Volume and Issue: unknown, P. 480 - 494

Published: March 25, 2025

A mathematical model has been developed and analyzed along with a flowchart for cleaners in the community. The entire population is partitioned into Latent, candidate, passive, active, non-cleaners. analysis examines how cleanliness present equilibrium achieves local global asymptotic stability when cleaning reproductive number exceeds one. It verified using Routh-Hurwitz criteria that positive, unique stability. By graph-theoretic approach, it also proved exhibits Parameter estimation carried out to determine numerical value of number. sensitivity being conducted identify factors discourage individuals from maintaining contribute creating an infectious environment. Further, dynamics cleaner behavior community are analyzed, providing valuable insights evidence-based policies interventions promoting clean healthier

Language: Английский