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In December 2019, a newly discovered SARS-CoV-2 virus was emerged from China and propagated worldwide as a pandemic. In the absence of preventive medicine or a ready to use vaccine, mathematical models can provide useful scientific insights…

Populations and Evolution · Quantitative Biology 2020-06-30 Indrajit Ghosh

While many epidemiological models have being proposed to understand and handle COVID-19, too little has been invested to understand how the virus replicates in the human body and potential antiviral can be used to control the replication…

We introduce a minimal multiscale framework that links within-host virus dynamics to population-level SIRS epidemiology through explicit, bidirectional coupling. At the microscopic layer, a two variant quasispecies (master and mutant…

Dynamical Systems · Mathematics 2026-01-28 Juan C. Muñoz-Sánchez , J. Tomás Lázaro , Josep Sardanyés , Santiago F. Elena

In light of the continuing emergence of new SARS-CoV-2 variants and vaccines, we create a simulation framework for exploring possible infection trajectories under various scenarios. The situations of primary interest involve the interaction…

Populations and Evolution · Quantitative Biology 2022-01-10 Kory D. Johnson , Annemarie Grass , Daniel Toneian , Mathias Beiglböck , Jitka Polechová

A pipeline to evaluate the evolution of viral dynamics based on a new model-driven approach has been developed in the present study. The proposed methods exploit real data and the multiscale structure of the infection dynamics to provide…

Populations and Evolution · Quantitative Biology 2025-11-25 Andrea Bondesan , Antonio Piralla , Elena Ballante , Antonino Maria Guglielmo Pitrolo , Silvia Figini , Fausto Baldanti , Mattia Zanella

Understanding the viral dynamics and immunizing antibodies of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is crucial for devising better therapeutic and prevention strategies for COVID-19. Here, we present a Bayesian…

Applications · Statistics 2023-07-27 Tracy Q. Dong , Elizabeth R. Brown

A current challenge for disease modeling and public health is understanding pathogen dynamics across scales since their ecology and evolution ultimately operate on several coupled scales. This is particularly true for vector-borne diseases,…

Populations and Evolution · Quantitative Biology 2019-12-19 Hayriye Gulbudak

Mathematical models describing SARS-CoV-2 dynamics and the corresponding immune responses in patients with COVID-19 can be critical to evaluate possible clinical outcomes of antiviral treatments. In this work, based on the concept of virus…

The COVID-19 pandemic has been a great catastrophe that upended human lives and caused millions of deaths all over the world. The rapid spread of the virus, with its early-stage exponential growth and subsequent 'waves', caught many medical…

Populations and Evolution · Quantitative Biology 2022-05-31 Anne V. Ginzburg , Valeriy V. Ginzburg , Julia O. Ginzburg , Ana Garcia Arias , Leela Rakesh

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

Infectious disease spread is a multi-scale process composed of within-host (biological) and between-host (social) drivers and disentangling them from each other is a central challenge in epidemiology. Here, we introduce VIBES, a multi-scale…

The present work shows that it is possible to analytically solve a general model to explain the transmission dynamics of SARS-CoV-2. First, the within-host model is described, and later a between-host model, where the coupling between them…

Populations and Evolution · Quantitative Biology 2023-08-07 Raul Isea

Increasing number in global COVID-19 cases demands for mathematical model to analyze the interaction between the virus dynamics and the response of innate and adaptive immunity. Here, based on the assumption of a weak and delayed response…

Populations and Evolution · Quantitative Biology 2021-01-13 Zhengqing Zhou , Zhiheng Zhao , Shuyu Shi , Jianghua Wu , Dianjie Li , Jianwei Li , Jingpeng Zhang , Ke Gui , Yu Zhang , Heng Mei , Yu Hu , Qi Ouyang , Fangting Li

This work provides an overview on deterministic and stochastic models that have previously been proposed by us to study the transmission dynamics of the Coronavirus Disease 2019 (COVID-19) in Europe and USA. Briefly, we describe realistic…

Populations and Evolution · Quantitative Biology 2022-07-11 Giorgio Sonnino , Philippe Peeters , Pasquale Nardone

The dynamics of epidemics depend on how people's behavior changes during an outbreak. At the beginning of the epidemic, people do not know about the virus, then, after the outbreak of epidemics and alarm, they begin to comply with the…

Physics and Society · Physics 2021-11-29 I. A. Kastalskiy , E. V. Pankratova , E. M. Mirkes , V. B. Kazantsev , A. N. Gorban

The COVID-19 pandemic has severely impacted health systems and economies worldwide. Significant global efforts are therefore ongoing to improve vaccine efficacies, optimize vaccine deployment, and develop new antiviral therapies to combat…

Populations and Evolution · Quantitative Biology 2021-12-21 Rajat Desikan , Pranesh Padmanabhan , Andrzej M. Kierzek , Piet H. van der Graaf

Facing a global challenge with over 6.9 million fatalities, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the causative agent of CoViD-19, demands novel and comprehensive approaches to understand its complex dynamics. This…

Dynamical Systems · Mathematics 2023-06-05 João Paulo Simões Maurício de Carvalho

The COVID-19 pandemic has given rise to numerous articles from different scientific fields (epidemiology, virology, immunology, airflow physics...) without any effort to link these different insights. In this review, we aim to establish…

Populations and Evolution · Quantitative Biology 2023-01-31 Florian Poydenot , Alice Lebreton , Jacques Haiech , Bruno Andreotti

Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance, especially when it comes to assessing treatment options. Mathematical…

Quantitative Methods · Quantitative Biology 2023-12-11 Lea Schuh , Peter V. Markov , Vladimir M. Veliov , Nikolaos I. Stilianakis

In this article, we propose a theory to explain the reduction in vaccine effectiveness (VE) against the Delta SARS-CoV-2 variant and decreasing VE over time reported in recent studies. Using a model illustration, we show that in-host viral…

Populations and Evolution · Quantitative Biology 2021-12-09 Wan Yang , Jeffrey Shaman
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