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We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

Populations and Evolution · Quantitative Biology 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini

The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent…

Populations and Evolution · Quantitative Biology 2023-12-12 Shoshana Elgart , Mark B. Flegg , Somya Mehra , Jennifer A. Flegg

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple…

Populations and Evolution · Quantitative Biology 2019-10-01 Fabio Sanchez , Juan G. Calvo

It is of vital importance to understand and track the dynamics of rapidly unfolding epidemics. The health and economic consequences of the current COVID-19 pandemic provide a poignant case. Here we point out that since they are based on…

Populations and Evolution · Quantitative Biology 2020-04-28 Z. Fodor , S. D. Katz , T. G. Kovacs

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The COVID-19 pandemic led to widespread interest in epidemiological models. In this context the role of vaccination in influencing the spreading of the disease is of particular interest. There has also been a lot of debate on the role of…

Dynamical Systems · Mathematics 2023-07-25 Aytül Gökçe , Burcu Gürbüz , Alan D. Rendall

We introduce a kinetic model that couples the movement of a population of individuals with the dynamics of a pathogen in the same population. We consider that transmission occurs when a susceptible and an infectious individual are…

Analysis of PDEs · Mathematics 2026-01-30 Carolina Strecht-Fernandes , Fabio A. C. C. Chalub

Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the classical models fail to account for certain features of this…

Dynamical Systems · Mathematics 2023-08-21 Monique Chyba , Taylor Klotz , Yuriy Mileyko , Corey Shanbrom

The increase in the connectivity between hosts in recent times has facilitated the emergence of more aggressive mutant viral strains, making their containment and eradication significantly more challenging compared to the original variants.…

Populations and Evolution · Quantitative Biology 2025-02-27 Javier López-Pedrares , M. Elena Vázquez-Cendón , Alberto P. Muñuzuri

Infection by distinct Dengue virus serotypes and host immunity are intricately linked. In particular, certain levels of cross-reactive antibodies in the host may actually enhance infection severity leading to Dengue hemorrhagic fever (DHF).…

Populations and Evolution · Quantitative Biology 2019-12-19 Hayriye Gulbudak , Cameron J. Browne

In this manuscript we consider an age structured epidemic system modelling the dynamics of transmission of immunizing disease like Hepatitis B virus. Our model takes into account age as well as two classes of infected individuals (chronic…

Analysis of PDEs · Mathematics 2016-05-17 Yannick Tchaptchie Kouakep

Computational multi-scale pandemic modelling remains a major and timely challenge. Here we identify specific requirements for a new class of models simulating pandemics across three scales: (1) pathogen evolution, often punctuated by the…

Populations and Evolution · Quantitative Biology 2025-08-04 Quang Dang Nguyen , Sheryl L. Chang , Carl J. E. Suster , Rebecca J. Rockett , Vitali Sintchenko , Tania C. Sorrell , Mikhail Prokopenko

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The model couples a system of kinetic transport equations…

Numerical Analysis · Mathematics 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

Pathogens drive changes in host immune systems that in turn exert pressure for pathogens to evolve. Quantifying and understanding this constant coevolutionary process has clear practical global health implications. Yet its relatively easier…

Populations and Evolution · Quantitative Biology 2023-06-09 Thierry Mora , Aleksandra Walczak

The majority of research on epidemics relies on models which are formulated in continuous-time. However, real-world epidemic data is gathered and processed in a digital manner, which is more accurately described by discrete-time epidemic…

Optimization and Control · Mathematics 2021-07-23 Bastian Prasse , Piet Van Mieghem

The fundamental models of epidemiology describe the progression of an infectious disease through a population using compartmentalized differential equations, but do not incorporate population-level heterogeneity in infection susceptibility.…

Populations and Evolution · Quantitative Biology 2023-08-04 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua S. Weitz , Andrew A. Peterson

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

Physics and Society · Physics 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao
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