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Models of invasive species spread often assume that landscapes are spatially homogeneous; thus simplifying analysis but potentially reducing accuracy. We extend a recently developed partial differential equation model for invasive conifer…

Populations and Evolution · Quantitative Biology 2023-09-14 Elliott Hughes , Miguel Moyers-Gonzalez , Rua Murray , Phillip L. Wilson

We analyze how temporal variability in local demography and dispersal combine to affect the rate of spread of an invading species. Our model combines state-structured local demography (specified by an integral or matrix projection model)…

Populations and Evolution · Quantitative Biology 2012-04-09 Stephen P. Ellner , Sebastian J. Schreiber

We live in a time where climate models predict future increases in environmental variability and biological invasions are becoming increasingly frequent. A key to developing effective responses to biological invasions in increasingly…

Populations and Evolution · Quantitative Biology 2015-12-16 Sebastian J. Schreiber , Maureen E. Ryan

Population dynamics with spatial information is applied to understand the spread of pests. We introduce a model describing how pests spread in discrete space. The number of pest descendants at each site is controlled by local information…

Populations and Evolution · Quantitative Biology 2017-01-20 Woo Seong Jo , Hwang-Yong Kim , Beom Jun Kim

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

UK woodlands, forests, and urban treescapes are under threat from invasive species, exacerbated by climate change, trade, and transport. Invasive tree pests debilitate their host and disrupt forest ecosystems, thus it is imperative to…

Populations and Evolution · Quantitative Biology 2025-11-03 Jamie P. McKeown , Laura E. Wadkin , Nick G. Parker , Andrew Golightly , Andrew W. Baggaley

The adaptation of biological species to their environment depends on their traits. When various biological processes occur (survival, reproduction, migration, etc.), the trait distribution may change with respect to time and space. In the…

Analysis of PDEs · Mathematics 2021-05-07 Léonard Dekens , Florian Lavigne

This paper is concerned with a diffusive Lotka-Volterra type competition system with a free boundary in one space dimension. Such a system may be used to describe the invasion of a new species into the habitat of a native competitor. We…

Analysis of PDEs · Mathematics 2017-10-17 Zhiguo Wang , Hua Nie , Yihong Du

The spread of invasive species to new areas threatens the stability of ecosystems and causes major economic losses in agriculture and forestry. We propose a novel approach to minimizing the spread of an invasive species given a limited…

Populations and Evolution · Quantitative Biology 2017-12-13 Amrita Gupta , Mehrdad Farajtabar , Bistra Dilkina , Hongyuan Zha

Invasive pine trees pose a threat to biodiversity in a variety of Southern Hemisphere countries, but understanding of the dynamics of invasions and the factors that retard or accelerate spread is limited. Here, we consider the past models…

Populations and Evolution · Quantitative Biology 2023-08-04 Elliott Hughes , Miguel Moyers-Gonzalez , Rua Murray , Phillip L. Wilson

Spatial spread of infectious diseases among populations via the mobility of humans is highly stochastic and heterogeneous. Accurate forecast/mining of the spread process is often hard to be achieved by using statistical or mechanical…

Social and Information Networks · Computer Science 2016-11-18 Jian-Bo Wang , Lin Wang , Xiang Li

In this paper, a method to study how the design of indoor spaces and people's movement within them affect disease spread is proposed by integrating computer-aided modeling, multi-agent movement simulation, and airborne viral transmission…

Multiagent Systems · Computer Science 2025-12-18 Wassim Jabi , Yidan Xue , Thomas E. Woolley , Katerina Kaouri

Spatial heterogeneity and habitat characteristic are shown to determine the asymptotic profile of the solution to a reaction-diffusion model with free boundary, which describes the moving front of the invasive species. A threshold value…

Analysis of PDEs · Mathematics 2014-03-26 Chengxia Lei , Zhigui Lin , Qunying Zhang

This project is motivated by the costs related with the documented risks of the introduction of non-native invasive species of plants, animals, or pathogens associated with travel and international trade. Such invasive species often have no…

Other Quantitative Biology · Quantitative Biology 2013-08-19 Valerie Cheathon , Agustin Flores , Victor Suriel , Octavious Talbot , Dustin Padilla , Marta Sarzynska , Adrian Smith , Luis Melara

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

Populations and Evolution · Quantitative Biology 2026-02-02 Ton Viet Ta

Both community ecology and conservation biology seek further understanding of factors governing the advance of an invasive species. We model biological invasion as an individual-based, stochastic process on a two-dimensional landscape. An…

Populations and Evolution · Quantitative Biology 2010-07-12 Lauren O'Malley , G. Korniss , Thomas Caraco

1.) Spatio-temporal datasets that are difficult to analyze are common in ecological surveys. There are software packages available to analyze these datasets, but many of them require advanced coding skills. There is a growing need for easy…

Methodology · Statistics 2021-10-07 Ethan Lawler , Chris Field , Joanna Mills Flemming

Invasive species are a major cause of ecological damage and commercial losses. A current problem spreading in North America and Europe is the vinegar fly Drosophila suzukii. Unlike other Drosophila, it infests non-rotting and healthy fruits…

Human-Computer Interaction · Computer Science 2017-10-20 Daniel Seebacher , Johannes Häußler , Michael Hundt , Manuel Stein , Hannes Müller , Ulrich Engelke , Daniel Keim

Understanding the spread of infectious diseases such as COVID-19 is crucial for informed decision-making and resource allocation. A critical component of disease behavior is the velocity with which disease spreads, defined as the rate of…

Applications · Statistics 2025-12-23 Fernando Rodriguez Avellaneda , Jorge Mateu , Paula Moraga

Marine invasive species spread through global shipping and generate substantial ecological and economic impacts. Traditional risk assessments require detailed records of ballast water and traffic patterns, which are often incomplete,…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Gabriel Spadon , Vaishnav Vaidheeswaran , Claudio DiBacco
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