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A Fisher–KPP Model with a Nonlocal Weighted Free Boundary: Analysis of How Habitat Boundaries Expand, Balance or Shrink
Download2020-11-05
Chunxi Feng, Mark A. Lewis, Chuncheng Wang, Hao Wang
In this paper, we propose a novel free boundary problem to model the movement of single species with a range boundary. The spatial movement and birth/death processes of the species found within the range boundary are assumed to be governed by the classic Fisher–KPP reaction–diffusion equation,...
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A longitudinal dataset of incidence and intervention policy impacts regarding the COVID-19 pandemic in Canadian provinces
Download2021-01-01
Ammar Hassanzadeh Keshteli, Dana Allen, Afia Anjum, Yashvi Patel, Aadhavya Sivakumaran, Siyang Tian, Fei Wang, Hao Wang, Mark A. Lewis, Russell Greiner, David S. Wishart
One year after identifying the first case of the 2019 coronavirus disease (COVID-19) in Canada, federal and provincial governments are still struggling to manage the pandemic. Provincial governments across Canada have experimented with widely varying policies in order to limit the burden of...
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2006-01-01
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact...
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2020-03-31
Samuel M. Fischer, Mark A. Lewis
Profile likelihood confidence intervals are a robust alternative toWald’s method if the asymptotic properties of the maximum likelihood estimator are not met. However, the constrained optimization problem defining profile likelihood confidence intervals can be difficult to solve in these...
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2014-01-01
Jonathan R. Potts, Karl Mokross, Mark A. Lewis
Collective phenomena, whereby agent –agent interactions determine spatial patterns, are ubiquitous in the animal kingdom. On the other hand, movement and space use are also greatly influenced by the interactions between animals and their environment. Despite both types of interaction...
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2021-01-01
Mariana Nagy-Reis, Jody R. Reimer, Mark A. Lewis, William F. Jensen, Mark S. Boyce
Models of population dynamics are a central piece for harvest management, allowing managers to evaluate alternative strategies and to identify uncertainty. Here we present a density-dependent population dynamics model that can be used in conjunction with adaptive management to optimize big game...
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2002-01-01
Hans F. Weinberger, Mark A. Lewis, Bingtuan Li
The discrete-time recursion system \un+1=Q[\un] with \un(x) a vector of population distributions of species and Q an operator which models the growth, interaction, and migration of the species is considered. Previously known results are extended so that one can treat the local invasion of an...
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Beyond resource selection: emergent spatio–temporal distributions from animal movements and stigmergent interactions
Download2022-01-01
Jonathan R. Potts, Valeria Giunta, Mark A. Lewis
A principal concern of ecological research is to unveil the causes behind observed spatio–temporal distributions of species. A key tactic is to correlate observed locations with environmental features, in the form of resource selection functions or other correlative species distribution models....
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2021-11-16
Samuel M. Fischer, Pouria Ramazi, Sean Simmons, Mark S. Poesch, Mark A. Lewis
Management of invasive species and pathogens requires information about the traffic of potential vectors. Such information is often taken from vector traffic models fitted to survey data. Here, user-specific data collected via mobile apps offer new opportunities to obtain more accurate estimates...