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Anomalous spreading speeds of cooperative recursion systems
Journal of Mathematical Biology, 2007This work presents an example of a cooperative system of truncated linear recursions in which the interaction between species causes one of the species to have an anomalous spreading speed. By this we mean that this species spreads at a speed which is strictly greater than its spreading speed in isolation from the other species and the speeds at which ...
Weinberger, Hans F. +2 more
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2022
Although seizure detection algorithms are widely used to localize seizure onset on intracranial EEG in epilepsy patients, relatively few studies focus on seizure activity beyond the seizure onset zone to direct treatment of surgical patients with epilepsy.
Andrew Y. Revell +11 more
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Although seizure detection algorithms are widely used to localize seizure onset on intracranial EEG in epilepsy patients, relatively few studies focus on seizure activity beyond the seizure onset zone to direct treatment of surgical patients with epilepsy.
Andrew Y. Revell +11 more
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How Phenological Variation Affects Species Spreading Speeds
Bulletin of Mathematical Biology, 2018In this paper, we develop a phenologically explicit reaction-diffusion model to analyze the spatial spread of a univoltine insect species. Our model assumes four explicit life stages: adult, two larval, and pupa, with a fourth, implicit, egg stage modeled as a time delay between oviposition and emergence as a larva.
Garrett Otto +3 more
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Spreading Speed in the Fisher-KPP Equation with Nonlocal Delay
Acta Mathematica Scientia, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Ge, Wang, Haoyu, Wang, Zhicheng
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Feedback Spreading Control under Speed Constraints
SIAM Journal on Control and Optimization, 2002The author studies feedback spreading controls for semilinear parabolic partial differential equations. More precisely, after recalling the set-valued analytical basics of the concept of feedback spreading controls, the author introduces the notion of the speed functional as a measure of the spread speed and studies its properties.
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2019
When a population can persist in a certain environment, we expect that it will spread through that environment if it is initially spatially confined to some small region. How fast will this spatial spread occur? How does the speed depend on movement behavior? These questions are particularly relevant for understanding and managing biological invasions.
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When a population can persist in a certain environment, we expect that it will spread through that environment if it is initially spatially confined to some small region. How fast will this spatial spread occur? How does the speed depend on movement behavior? These questions are particularly relevant for understanding and managing biological invasions.
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The spreading speed and the minimal wave speed of a predator–prey system with nonlocal dispersal
Zeitschrift für angewandte Mathematik und Physik, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arnaud Ducrot +3 more
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The Spread Speed of Multiple Catalytic Branching Random Walks
Acta Mathematicae Applicatae Sinica, English Series, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Speeds of Spread for a Nonlocal Diffusion Equation
Journal of Dynamics and Differential Equations, 2016The author studies the spatial spreading dynamics of a class of nonlocal diffusion equation \[ {u_t}(t,x) = (J * u - u)(t,x) + f(u,G * * S(u))(t,x), \] where \(t \geq 0\), \(x \in \mathbb R\) and \(J \in {L^1}(\mathbb R)\) is a nonnegative symmetric kernel function.
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Journal of Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiulan Lai, Xingfu Zou
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiulan Lai, Xingfu Zou
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