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We propose a deterministic compartmental model of infectious disease which considers the test-kits as an important ingredient for the suppression and mitigation of epidemics. A rigorous simulation (with analytical argument) is provided to…

物理与社会 · 物理学 2021-07-28 Subrata Ghosh , Abhishek Senapati , Joydev Chattopadhyay , Chittaranjan Hens , Dibakar Ghosh

Main goal: The aim of this note is to propose a modeling approach for assessing the effectiveness of pest biocontrol by natural enemies in diversified agricultural landscapes including several pesticide-based management strategies. Our…

种群与进化 · 定量生物学 2016-02-23 Mamadou Ciss , Sylvain Poggi , Mohamed-Mahmoud Memmah , Pierre Franck , Marie Gosme , Nicolas Parisey , Lionel Roques

Emerging infectious diseases and climate change are two of the major challenges in 21st century. Although over the past decades, highly-resolved mathematical models have contributed in understanding dynamics of infectious diseases and are…

种群与进化 · 定量生物学 2025-10-13 Julia Bicker , René Schmieding , Michael Meyer-Hermann , Martin J. Kühn

We simulate a spatial behavioral model of the diffusion of an infection to understand the role of geographic characteristics: the number and distribution of outbreaks, population size, density, and agents' movements. We show that several…

综合经济学 · 经济学 2022-01-31 Alberto Bisin , Andrea Moro

The time-varying reproduction number ($R_t$) gives an indication of the trajectory of an infectious disease outbreak. Commonly used frameworks for inferring $R_t$ from epidemiological time series include those based on compartmental models…

Infectious diseases, either emerging or long-lasting, place numerous people at risk and bring heavy public health burdens worldwide. In the process against infectious diseases, predicting the epidemic risk by modeling the disease…

机器学习 · 计算机科学 2023-08-08 Mutong Liu , Yang Liu , Jiming Liu

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

概率论 · 数学 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

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…

物理与社会 · 物理学 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

This study investigates the spatial integration of agent-based models (ABMs) and compartmental models for infectious disease modeling, presenting a novel hybrid approach and examining its implications. ABMs offer detailed insights by…

种群与进化 · 定量生物学 2025-02-06 Inan Bostanci , Tim Conrad

In this paper we propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types…

最优化与控制 · 数学 2016-08-08 David Jaurès Fotsa Mbogne , Christopher Thron

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

应用统计 · 统计学 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Epidemiologists aiming to model the dynamics of global events face a significant challenge in identifying the factors linked with anomalies such as disease outbreaks. In this paper, we present a novel method for identifying the most…

机器学习 · 计算机科学 2021-09-20 Aboli Marathe , Saloni Parekh , Harsh Sakhrani

The importation and subsequent establishment of novel pathogenic strains in a population is subject to a large degree of uncertainty due to the stochastic nature of the disease dynamics. Mathematical models need to take this stochasticity…

种群与进化 · 定量生物学 2024-12-02 Jacob Curran-Sebastian , Frederik Mølkjær Andersen , Samir Bhatt

In this paper, we study the interplay between individual behaviors and epidemic spreading in a dynamical network. We distribute agents on a square-shaped region with periodic boundary conditions. Every agent is regarded as a node of the…

物理与社会 · 物理学 2018-02-14 Han-Xin Yang , Ming Tang , Zhen Wang

Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptible-infectious-removed (SIR) epidemic dynamics on a…

种群与进化 · 定量生物学 2013-09-30 Matthew Graham , Thomas House

The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

种群与进化 · 定量生物学 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

Seasonal variations in the incidence of infectious diseases are a well-established phenomenon, driven by factors such as climate changes, social behaviors, and ecological interactions that influence host susceptibility and transmission…

种群与进化 · 定量生物学 2024-10-23 Mahmudul Bari Hridoy

This paper introduces a novel hybrid model combining Partial Differential Equations (PDEs) and Ordinary Differential Equations (ODEs) to simulate infectious disease dynamics across geographic regions. By leveraging the spatial detail of…

动力系统 · 数学 2025-11-18 Kristina Kehrer , Martin Weiser , Tim Conrad

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

种群与进化 · 定量生物学 2024-02-27 Stefan Hohenegger , Francesco Sannino

Epidemic forecasting is the key to effective control of epidemic transmission and helps the world mitigate the crisis that threatens public health. To better understand the transmission and evolution of epidemics, we propose EpiGNN, a graph…

定量方法 · 定量生物学 2022-08-25 Feng Xie , Zhong Zhang , Liang Li , Bin Zhou , Yusong Tan