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In this paper we study a diffusive age structured epidemic model with disease transmission between vector and host populations. The dynamics of the populations are described by reaction-diffusion equations, with infection age structure of…

偏微分方程分析 · 数学 2017-06-15 William E. Fitzgibbon , Jeffrey J. Morgan , Glenn F. Webb , Yixiang Wu

The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the disease transmission by proposing a new…

适应与自组织系统 · 物理学 2023-03-29 Rossella Della Marca , Nadia Loy , Andrea Tosin

We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host. The model consists of a nonlinear system of three coupled…

偏微分方程分析 · 数学 2016-04-18 Stephen Pankavich , Christian Parkinson

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…

数值分析 · 数学 2020-12-21 Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

We consider a Spatial Markov Chain model for the spread of viruses. The model is based on the principle to represent a graph connecting nodes, which represent humans. The vertices between the nodes represent relations between humans. In…

种群与进化 · 定量生物学 2020-04-14 Fred Vermolen

Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of disease transmission and progression linked to the viral load…

物理与社会 · 物理学 2022-05-10 Rossella Della Marca , Nadia Loy , Andrea Tosin

Our study presents an intermediate-level modeling approach that bridges the gap between complex Agent-Based Models (ABMs) and traditional compartmental models for infectious diseases. We introduce "super-agents" to simulate infection spread…

计算机与社会 · 计算机科学 2024-03-12 Amir Mohammad Esmaieeli Sikaroudi , Alon Efrat , Michael Chertkov

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

系统与控制 · 电气工程与系统科学 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

We present an epidemiological model for vector-borne diseases that includes within-host viral load and antibody dynamics using structured transport equations. By incorporating the internal dynamics into the infected and recovered host…

偏微分方程分析 · 数学 2026-05-26 Paulo Amorim , Maria Soledad Aronna , Debora de Oliveira Medeiros

Vector-borne diseases arise from the coupled dynamics of human mobility and mosquito ecology, producing outbreaks shaped by both spatial distributions and temporal patterns of movement. Here we develop a coarse-grained hub--leaf reduction…

种群与进化 · 定量生物学 2025-08-29 Bibandhan Poudyal , Gourab Ghoshal

In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The…

物理与社会 · 物理学 2021-06-25 Nadia Loy , Andrea Tosin

We develop a new structured compartmental model for the coevolutionary dynamics between susceptible and infectious individuals in heterogeneous SI epidemiological systems. In this model, the susceptible compartment is structured by a…

种群与进化 · 定量生物学 2024-10-10 Tommaso Lorenzi , Elisa Paparelli , Andrea Tosin

We examine the spread of an infectious disease, such as one that is caused by a respiratory virus, with two distinct modes of transmission. To do this, we consider a susceptible--infected--susceptible (SIS) disease on a hypergraph, which…

物理与社会 · 物理学 2026-01-09 Tung D. Nguyen , Mason A. Porter

Understanding the dynamics of infectious disease spread in a heterogeneous population is an important factor in designing control strategies. Here, we develop a novel tensor-driven multi-compartment version of the classic…

种群与进化 · 定量生物学 2020-04-22 Inbar Seroussi , Nir Levy , Elad Yom-Tov

In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR model by Kermack and McKendrick. We further provide a multiscale approach to the derivation of a macroscopic counterpart via the mean-field…

动力系统 · 数学 2022-03-31 Markus Schmidtchen , Oliver Tse , Stephan Wackerle

Emerging marine infectious diseases pose a substantial threat to marine ecosystems and the conservation of their biodiversity. Compartmental models of epidemic transmission in marine sessile organisms, available only recently, are based on…

种群与进化 · 定量生物学 2022-11-03 Àlex Giménez-Romero , Federico Vazquez , Cristóbal López , Manuel A. Matías

We examine how spatial heterogeneity combines with mobility network structure to influence vector-borne disease dynamics. Specifically, we consider a Ross-Macdonald-type disease model on $n$ spatial locations that are coupled by host…

种群与进化 · 定量生物学 2022-04-22 Omar Saucedo , Joseph H. Tien

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

应用统计 · 统计学 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

The coronavirus disease (COVID-19) pandemic has changed our lives and still poses a challenge to science. Numerous studies have contributed to a better understanding of the pandemic. In particular, inhalation of aerosolised pathogens has…

种群与进化 · 定量生物学 2022-09-02 Simon Rahn , Marion Gödel , Gerta Köster , Gesine Hofinger

This paper develops an agent-based disease spread model on a contact network in an effort to guide efforts at surveillance testing in small to moderate facilities such as nursing homes and meat-packing plants. The model employs Monte Carlo…

种群与进化 · 定量生物学 2021-10-04 Yanyue Ding , Sudesh K. Agrawal , Jincheng Cao , Lauren Meyers , John J. Hasenbein
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