Mathematical epidemiology of infectious diseases: an ongoing challenge
Publication date
2025-12
Authors
Diekmann, Odo
Inaba, Hisashi
Thieme, Horst R.
Editors
Advisors
Supervisors
Document Type
Article
Metadata
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Abstract
The aim of this paper is to present an, admittedly somewhat subjective, bird’s eye view of the mathematical theory concerning the spread of an infectious disease in a susceptible host population with static structure, culminating in a future-oriented description of various modelling challenges.
Keywords
Basic reproduction number, Compartment model, Eigenfunctionals, Heterogeneity, Kermack–McKendrick model, General Engineering, Applied Mathematics, SDG 3 - Good Health and Well-being
Citation
Diekmann, O, Inaba, H & Thieme, H R 2025, 'Mathematical epidemiology of infectious diseases : an ongoing challenge', Japan Journal of Industrial and Applied Mathematics, vol. 42, no. 4, pp. 1563-1590. https://doi.org/10.1007/s13160-025-00742-1