Citation

Batiha, Iqbal M. and Momani, Shaher and Abdul Aziz, Nor Hidayati and Hamzah, Nur Asyiqin Amir and Othman, Khair Razlan and Sheimat, Amani (2026) A Spatiotemporal Dynamics and Stability Analysis of Remote Healthcare System Adoption in Remote Hill‐Track Areas. Journal of Mathematics, 2026 (1). ISSN 2314-4629

Text Journal of Mathematics - 2026 - Batiha - A Spatiotemporal Dynamics and Stability Analysis of Remote Healthcare System.pdf - Published Version Restricted to Repository staff only Download (2MB)

Abstract

The persistent challenge of healthcare accessibility in geographically isolated regions necessitates innovative approaches to healthcare delivery and adoption modeling. This study introduces a novel mathematical framework based on reaction-difusion systems to analyze the spatiotemporal dynamics of remote healthcare system (RHS) adoption in remote hill-track areas. Moving beyond traditional static models such as structural equation modeling (SEM), we formulate adoption dynamics through a system of coupled partial diferential equations that capture the complex interplay between population awareness, adopter density, and healthcare needs. The model incorporates key sociological processes, such as social contagion, external infuence, and relapse, while accounting for geographical difusion constraints. We establish rigorous conditions for both local and global asymptotic stability of the nontrivial equilibrium through linear stability analysis and Lyapunov functional methods. Comprehensive numerical simulations validate the theoretical framework, demonstrating convergence to equilibrium states and visualizing the spatiotemporal evolution of adoption patterns. This research provides policymakers with a predictive tool for optimizing intervention strategies and resource allocation, representing a signifcant methodological advancement in addressing healthcare disparities in challenging environments.

Item Type:	Article
Uncontrolled Keywords:	Spatiotemporal dynamics of remote healthcare system (RHS)
Subjects:	R Medicine > R Medicine (General) > R856-857 Biomedical engineering. Electronics. Instrumentation
Divisions:	Faculty of Engineering and Technology (FET)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	05 Jun 2026 02:14
Last Modified:	05 Jun 2026 02:14
URII:	http://shdl.mmu.edu.my/id/eprint/15980

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