https://doi.org/10.1140/epjs/s11734-024-01224-0
Regular Article
Prospective impact of healthcare facilities and infrastructure on infectious disease outbreak dynamics: a modeling study
1
Department of Applied Sciences and Humanities, Invertis University, 243123, Bareilly, Uttar Pradesh, India
2
Department of Mathematics, University of Sussex, BN1 9QH, Falmer, Brighton, UK
3
Department of Mathematics, Institute of Science, Banaras Hindu University, 221005, Varanasi, Uttar Pradesh, India
Received:
12
March
2024
Accepted:
17
June
2024
Published online:
25
June
2024
In epidemic outbreak control management, the synergy between healthcare facilities and infrastructure, including road networks and ambulance services, plays a pivotal role. In this article, we formulate and analyze a mathematical model that underscores the significance of infrastructure components along with healthcare facilities to effectively control an epidemic outbreak. By intricately examining the interplay between healthcare accessibility and the swift movement of medical resources, this study contributes valuable insights into optimizing response strategies during such outbreaks. Through qualitative analysis, we establish the model’s susceptibility to a range of bifurcations, including transcritical (forward and backward), saddle-node, Hopf, and codimension-2 Bogdanov–Takens bifurcations. Furthermore, we provide an epidemiological interpretation of the intricate dynamic behaviors observed in the context of disease endemism. The proposed model offers insights that can guide policymakers, healthcare administrators, and urban planners in devising effective strategies for combating epidemic outbreaks while fostering community resilience.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
