Mathematical Modeling of Infectious Diseases: Fractional Calculus Approaches and Applications
A special issue of Tropical Medicine and Infectious Disease (ISSN 2414-6366).
Deadline for manuscript submissions: 31 December 2026 | Viewed by 70
Special Issue Editors
Interests: mathematical analysis of dynamical systems; mathematical modeling in virology and epidemiology; control systems; fractional calculus; fractional differential equations; calculus of variations and optimal control
Interests: epidemiology; fractional differential equations; Lyapunov stability; optimal control; numerical methods
Special Issue Information
Dear Colleagues,
Infectious diseases continue to present significant challenges to global health, requiring sophisticated mathematical models to better understand their transmission dynamics, evolution, and control strategies. Fractional calculus offers advanced mathematical tools to capture memory effects, nonlocal interactions, and anomalous diffusion processes observed in the epidemiology of various infectious diseases.
The aim of this Special Issue is to attract original research articles and comprehensive reviews focusing on the theoretical development and practical applications of fractional calculus in modeling infectious diseases relevant to medicine and global health. Papers exploring new fractional models, analytical methods, numerical simulations, and optimal control strategies in alignment with the journal's core topics are particularly welcome. Biological considerations such as various transmission mechanisms, vaccination strategies, immunological aspects, and public health interventions are strongly encouraged.
Potential topics include, but are not limited to:
- Fractional calculus models for tropical infectious disease dynamics;
- Memory effects and nonlocal interactions in tropical epidemiological models;
- Fractional-order modeling of emerging and re-emerging infectious diseases;
- Analytical and numerical approaches in fractional epidemiology;
- Optimal control and elimination strategies using fractional calculus models;
- Fractional calculus in modeling vector-borne and neglected tropical diseases;
- Role of immunity and vaccination in fractional epidemiological models;
- Sensitivity analysis and parameter estimation in fractional infectious disease models;
- Mathematical modeling contributions to global health and One Health perspectives using fractional calculus.
Dr. Lotfi El Mehdi
Dr. Adnane Boukhouima
Guest Editors
Manuscript Submission Information
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Keywords
- new fractional models
- analytical methods
- numerical simulations
- optimal control strategies
- mathematical modeling of complex system
- stability analysis
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