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Related papers: Eco-evolutionary dynamics of adapting pathogens an…

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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

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

We consider a spatial stochastic model for a pathogen population growing inside a host that attempts to eliminate the pathogens through its immune system. The pathogen population is divided into different types. A pathogen can either…

Probability · Mathematics 2026-02-03 Fábio Lopes , Alejandro Roldán-Correa

Different pathogens spreading in the same host population often generate complex co-circulation dynamics because of the many possible interactions between the pathogens and the host immune system, the host life cycle, and the space…

Populations and Evolution · Quantitative Biology 2014-12-18 Chiara Poletto , Sandro Meloni , Ashleigh Van Metre , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

Ecological and evolutionary dynamics have been historically regarded as unfolding at broadly separated timescales. However, these two types of processes are nowadays well documented to much more tightly than traditionally assumed,…

Populations and Evolution · Quantitative Biology 2021-11-17 José Camacho Mateu , Matteo Sireci , Miguel A. Muñoz

Population heterogeneity is a key factor in epidemic dynamics, influencing both transmission and final epidemic size. While heterogeneity is often modelled through age structure, spatial location, or contact patterns, differences in host…

Populations and Evolution · Quantitative Biology 2026-01-26 Tamás Tekeli , Andrea Pugliese , Cinzia Soresina

Susceptibility governs the dynamics of contagion. The classical SIR model is one of the simplest compartmental models of contagion spread, assuming a single shared susceptibility level. However, variation in susceptibility over a population…

Populations and Evolution · Quantitative Biology 2020-09-22 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua Weitz , Andrew A. Peterson

Biological organisms have evolved a wide range of immune mechanisms to defend themselves against pathogens. Beyond molecular details, these mechanisms differ in how protection is acquired, processed and passed on to subsequent generations…

Populations and Evolution · Quantitative Biology 2016-12-26 Andreas Mayer , Thierry Mora , Olivier Rivoire , Aleksandra M. Walczak

Population dynamics is constrained by the environment, which needs to obey certain conditions to support population growth. We consider a standard model for the evolution of a single species population density, that includes reproduction,…

Populations and Evolution · Quantitative Biology 2016-10-18 E. H. Colombo , C. Anteneodo

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

Human pathogens transmitted through environmental pathways are subject to stress and pressures outside of the host. These pressures may cause pathogen pathovars to diverge in their environmental persistence and their infectivity on an…

Populations and Evolution · Quantitative Biology 2018-02-16 Andrew F. Brouwer , Marisa C. Eisenberg , Nancy G. Love , Joseph N. S. Eisenberg

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

Changes in human behavior are increasingly recognized as a major determinant of epidemic dynamics. Although collective activity can be modified through imposed measures to control epidemic progression, spontaneous changes can also arise as…

Populations and Evolution · Quantitative Biology 2021-05-25 Susanna Manrubia , Damián H. Zanette

How does immune system evolve functional proteins - potent antibodies - in such a short time? We address this question using a microscopic, protein-level, sequence-based model of humoral immune response with explicitly defined interactions…

Cell Behavior · Quantitative Biology 2008-05-27 Muyoung Heo , Konstantin B. Zeldovich , Eugene I. Shakhnovich

Many infectious diseases are comprised of multiple strains with examples including Influenza, tuberculosis, and Dengue virus. The time evolution of such systems is linked to a complex landscape shaped by interactions between competing…

Populations and Evolution · Quantitative Biology 2023-11-21 Nir Gavish , Musa Rabiu

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

Coevolutionary arms races form between interacting populations that constitute each other's environment and respond to mutual changes. This inherently far-from-equilibrium process finds striking manifestations in the adaptive immune system,…

Biological Physics · Physics 2019-12-18 Hongda Jiang , Shenshen Wang

The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model (VM) dynamics)…

Populations and Evolution · Quantitative Biology 2009-11-13 T. Antal , S. Redner , V. Sood

This paper analyzes a simplified model of viral infection and evolution using the 'grand canonical ensemble' and formalisms from statistical mechanics and thermodynamics to enumerate all possible viruses and to derive thermodynamic…

Populations and Evolution · Quantitative Biology 2016-01-08 Barbara A. Jones , Justin Lessler , Simone Bianco , James H. Kaufman

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

Populations and Evolution · Quantitative Biology 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel