Advances in Epidemiological and Biological Systems Modeling

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E3: Mathematical Biology".

Deadline for manuscript submissions: 20 August 2025 | Viewed by 133

Special Issue Editor


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Guest Editor
The Program for Experimental and Theoretical Modeling, Division of Hepatology, Department of Medicine, Stritch School of Medicine, Loyola University Chicago, Maywood, IL 84101, USA
Interests: viral dynamics; nonlinear mixed-effects models; mathematical epidemiology; population dynamics; ecology and evolution; data science; model development

Special Issue Information

Dear Colleagues,

This aim of this issue is to explore in detail the application of differential equations (partial differential equations, delay differential equations, stochastic differential equations, and ordinary differential equations) in understanding and controlling infectious diseases. The focus will be on how these mathematical models describe and predict the dynamics of epidemics and pandemics, specifically on the spread and curtailing of various infectious diseases. Key themes include advancements in classic epidemiological models, such as SIR and SEIR, and the introduction of new methods to handle greater complexity, such as spatial dispersal, heterogeneous mixing patterns, agent-based models, and stochastic effects. This issue also welcomes models that address real-world challenges, such as limited healthcare resources and vaccination optimization. Additionally, we seek to highlight models that incorporate environmental and socioeconomic factors influencing disease transmission. Special consideration will be given to models that aid in understanding disease resurgence after initial control efforts. This issue intends to bridge theory and practice by demonstrating how these models can inform public health policy and intervention strategies. Contributions that advance theoretical understanding of stability and bifurcation in disease-free and endemic equilibria are also welcomed. The role of delay differential equations in capturing time-lagged effects in disease transmission dynamics will be examined, alongside the application of optimal control theory. Expected submissions include original research articles, review articles, case studies, simulation studies, as well as perspectives and commentaries.

Dr. Adquate Mhlanga
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • differential equations
  • data-driven modeling
  • numerical analysis
  • control interventions
  • public health
  • stochastic and agent based

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Published Papers

This special issue is now open for submission.
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