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Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2008
Summary: The spreading speeds and traveling waves are established for a class of nonmonotone discrete-time integrodifference equation models. It is shown that the spreading speed is linearly determinate and coincides with the minimal wave speed of traveling waves.
Sze-Bi Hsu, Xiao-Qiang Zhao
exaly   +2 more sources
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Spreading control with speed constraints

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
This paper investigates spreading control under speed constraints on the spreads. By an approach, which combines feedback theory and set-valued analysis, spreading control laws under speed constraints are derived by a selection procedure and their optimality with respect to norm is examined.
Jean-Pierre Aubin, Khalid Kassara
openaire   +2 more sources

Spreading Speeds in Slowly Oscillating Environments

Bulletin of Mathematical Biology, 2010
In this paper, we derive exact asymptotic estimates of the spreading speeds of solutions of some reaction-diffusion models in periodic environments with very large periods. Contrarily to the other limiting case of rapidly oscillating environments, there was previously no explicit formula in the case of slowly oscillating environments.
Hamel, François   +2 more
openaire   +5 more sources

Spreading speeds as slowest wave speeds for cooperative systems

Mathematical Biosciences, 2005
It is well known that in many scalar models for the spread of a fitter phenotype or species into the territory of a less fit one, the asymptotic spreading speed can be characterized as the lowest speed of a suitable family of traveling waves of the model. Despite a general belief that multi-species (vector) models have the same property, we are unaware
Li, Bingtuan   +2 more
openaire   +3 more sources

Seasonal influences on population spread and persistence in streams: spreading speeds

Journal of Mathematical Biology, 2011
The drift paradox asks how stream-dwelling organisms can persist, without being washed out, when they are continuously subject to the unidirectional stream flow. To date, mathematical analyses of the stream paradox have investigated the interplay of growth, drift and flow needed for species persistence under the assumption that the stream environment ...
Jin, Y., Lewis, M. A.
openaire   +4 more sources

Spreading Speed Revisited: Analysis of a Free Boundarymodel

open access: yesNetworks and Heterogeneous Media, 2012
We investigate, from a more ecological point of view, a free boundary model considered in [11] and [8] that describes the spreading of a new or invasive species, with the free boundary representing the spreading front. We derive the free boundary condition by considering a "population loss" at the spreading front, and correct some mistakes ...
Yihong Du
exaly   +3 more sources

Spreading Speed of a Cholera Epidemic Model in a Periodic Environment

Qualitative Theory of Dynamical Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Guo, Pan, Shuxia, Wang, Xueying
openaire   +2 more sources

Estimating the Persistent Spreads in High-Speed Networks

2014 IEEE 22nd International Conference on Network Protocols, 2014
The persistent spread of a destination host is the number of distinct sources that have contacted it persistently in predefined t measurement periods. A persistent spread estimator is a software/hardware component on a router that inspects the arrival packets and estimates the persistent spread of each destination.
Qingjun Xiao   +3 more
openaire   +2 more sources

Anomalous spreading speeds of cooperative recursion systems

Journal of Mathematical Biology, 2007
This 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
openaire   +2 more sources

A Taxonomy of Seizure Spread Patterns, Speed of Spread, and Associations With Structural Connectivity

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
openaire   +1 more source

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