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36 results for “traveling waves”
Interaction of one-dimensional trivial and non-trivial travelling waves in a three-species competition-diffusion system
<p>We consider the situation where an exotic species <em>w</em> invades an ecosystem inhabited by two native species <em>u</em> and <em>v</em>. All species are competing for the same limited resource. Supposing that <em>u</em> and <em>v</em> are not able to coexist in the absence of the invader, we want to determine whether a successful invasion by <em>w</em> may allow all species to coexist (competitor-mediated coexistence). Mathematically, this problem can be modelled by the following three-species competition-diffusion system<br> <span class="math-tex">\( \left\{ \begin{alignedat}{6} u_t &= d_1 \, \Delta u &&+ (r_1 &&- u &&- b_{12} \, v &&- b_{13} \, w &&)\,u, \\ v_t &= d_2 \, \Delta v &&+ (r_2 &&- v &&- b_{21} \, u &&- b_{23} \, w &&)\,v, \\ w_t &= d_3 \, \Delta w &&+ (r_3 &&- w &&- b_{31} \, u &&- b_{32} \, v &&)\,w, \end{alignedat} \right.\)</span><br> where all parameters are positive constants.</p> <p>We are interested in the case in which the invading species is weaker than the native ones, i.e., it is not able to survive in the diffusion-free system obtained by setting <em>d</em><sub>1</sub> = <em>d</em><sub>2</sub> = <em>d</em><sub>3</sub> = 0.<br> We fix all parameters as<br> <span class="math-tex">\( \begin{aligned} & d_1 = d_2 = d_3 = 1, \\ & r_1 = r_2 = 28, \\ & \begin{aligned} b_{12} &= 22/21, & b_{13} &= 4, \\ b_{21} &= 1.87, & b_{23} &= 3/4, \\ b_{31} &= 26/21, & b_{32} &= 22/21, \\ \end{aligned} \end{aligned}\)</span><br> and leave <em>r</em><sub>3</sub>, which measures the strength of the exotic species, as a free parameter. Depending on the value of <em>r</em><sub>3</sub>, the invasion can be either successful or not and competitor-mediated coexistence may or may not occur.</p> <p>It turns out that if <em>r</em><sub>3</sub> lies in a certain range of values, the three-species competition-diffusion system admits two planarly stable travelling wave solutions. In the movies here presented, the result of the interaction of these two waves in one spatial dimension is reported for several value of <em>r</em><sub>3</sub>. For relatively higher values of the free parameter, the relative velocity of the interacting waves is small and they merge into a single travelling pulse. As <em>r</em><sub>3</sub> decreases, the relative velocity of the two waves becomes larger and they merge into a breathing wave (a travelling pulse whose width is oscillating). If <em>r</em><sub>3</sub> is even smaller, the trivial wave is reflected as a leftward-moving non-trivial wave.</p>
Interaction of planarly stable trivial and non-trivial travelling waves in a three-species competition-diffusion system
<p>We consider the situation where an exotic species <em>w</em> invades an ecosystem inhabited by two native species <em>u</em> and <em>v</em>. All species are competing for the same limited resource. Supposing that <em>u</em> and <em>v</em> are not able to coexist in the absence of the invader, we want to determine whether a successful invasion by <em>w</em> may allow all species to coexist (competitor-mediated coexistence). Mathematically, this problem can be modelled by the following three-species competition-diffusion system<br> <span class="math-tex">\( \left\{ \begin{alignedat}{6} u_t &= d_1 \, \Delta u &&+ (r_1 &&- u &&- b_{12} \, v &&- b_{13} \, w &&)\,u, \\ v_t &= d_2 \, \Delta v &&+ (r_2 &&- v &&- b_{21} \, u &&- b_{23} \, w &&)\,v, \\ w_t &= d_3 \, \Delta w &&+ (r_3 &&- w &&- b_{31} \, u &&- b_{32} \, v &&)\,w, \end{alignedat} \right.\)</span><br> where all parameters are positive constants.</p> <p>We are interested in the case in which the invading species is weaker than the native ones, i.e., it is not able to survive in the diffusion-free system obtained by setting <em>d</em><sub>1</sub> = <em>d</em><sub>2</sub> = <em>d</em><sub>3</sub> = 0.<br> We fix all parameters as<br> <span class="math-tex">\( \begin{aligned} & d_1 = d_2 = d_3 = 1, \\ & r_1 = r_2 = 28, \\ & \begin{aligned} b_{12} &= 22/21, & b_{13} &= 4, \\ b_{21} &= 1.87, & b_{23} &= 3/4, \\ b_{31} &= 26/21, & b_{32} &= 22/21, \\ \end{aligned} \end{aligned}\)</span><br> and leave <em>r</em><sub>3</sub>, which measures the strength of the exotic species, as a free parameter. Depending on the value of <em>r</em><sub>3</sub>, the invasion can be either successful or not and competitor-mediated coexistence may or may not occur.</p> <p>It turns out that if <em>r</em><sub>3</sub> lies in a certain range of values, the three-species competition-diffusion system admits two planarly stable travelling wave solutions. In the movies here presented, the result of the interaction of these two waves in two spatial dimensions is reported for several value of <em>r</em><sub>3</sub>. The species <em>u</em>, <em>v</em> and <em>w</em> are denoted by the red, green and blue colours respectively. The yellow line marks the interface between the species <em>u</em> and <em>v</em>. As the value of the free parameter decreases, we observe a transition from a regular spiral pattern, to a breathing spiral and finally to a complex spatio-temporal pattern born from the break-up of the spiral. This complex pattern may be either periodic or chaotic in the long run, as can be seen in the movies for longer time intervals <em>T</em>.</p>
Numerical modeling of the concentric gravity wave seeding of low-latitude nighttime medium-scale traveling ionospheric disturbances
<p>The SAMI3/ESF model-generated electron density files (.mat file) associated with each of the cases in the paper.</p>
Influence of solar activity on penetration of travelling planetary-scale waves from the troposphere into the thermosphere
<p>This dataset contains model output files and examples of scripts for depicting figures related to the article "Influence of solar activity on penetration of travelling planetary-scale waves from the troposphere into the thermosphere" by A.V. Koval, N. M. Gavrilov, A. I. Pogoreltsev, N. O. Shevchuk.</p> <p>Contents:<br> averh.zip - Output data from model simulations averaged over 12 runs with high solar activity;<br> /averh/uvt400_Jan_ogw_volf.dx - Zonal, meridional wind components, temperature (structure corresponds to uvt.ctl);<br> /averh/phi.dx - Geopotential height in gpm;<br> /averh/gh_m1_1.dx, /averh/gh_m2_1.dx - Estimated PSW amplitudes and phases after the longitude-time Fourier transform of the MUAM solutions with the least squares fitting of the geopotential height (zonal wavenumber 1 and 2, respectively)<br> /averh/zw_m1_1.dx, /averh/zw_m2_1.dx, /averh/mw_m1_1.dx, /averh/mw_m2_1.dx, /averh/tp_m1_1.dx, /averh/tp_m2_1.dx - The same but for wind components and temperature, respectively<br> averl.zip - Output data from model simulations averaged over 12 runs with low solar activity; contents are similar to "averh.zip"<br> files *.gs, *.ctl - Examples of the scripts and file descriptions for GRADS system to build figures shown in the manuscript.<br> Additional data including outputs from separate model runs are available from the authors upon request. </p>
3-D P- and S-wave velocity (Vp and Vs) model of the Yangbi earthquake source region, as well as the travel-times of ChinArray-I
<p>3-D P- and S-wave velocity (Vp and Vs), as well as Vp/Vs ratio models of the Yangbi earthquake source region</p>
Data from: Travelling Wave Pulse Coupled Oscillator (TWPCO) Using a Self-Organizing Scheme for Energy-efficient Wireless Sensor Networks
Recently, Pulse Coupled Oscillator (PCO)-based travelling waves have attracted substantial attention by researchers in wireless sensor network (WSN) synchronization. Because WSNs are generally artificial occurrences that mimic natural phenomena, the PCO utilizes firefly synchronization of attracting mating partners for modelling the WSN. However, given that sensor nodes are unable to receive messages while transmitting data packets (due to deafness), the PCO model may not be efficient for sensor network modelling. To overcome this limitation, the current study proposed a new scheme called the Travelling Wave Pulse Coupled Oscillator (TWPCO). For this, the study used a self-organizing scheme for energy-efficient WSNs that adopted travelling wave biologically inspired network systems based on phase locking of the PCO model to counteract deafness. From the simulation, it was found that the proposed TWPCO scheme attained a steady state after a number of cycles. It also showed superior performance compared to other mechanisms, with a reduction in the total energy consumption of 25 %. The results showed that the performance improved by 13 % in terms of data gathering. Based on the results, the proposed scheme avoids the deafness that occurs in the transmit state in WSNs and increases the data collection throughout the transmission states in WSNs.
Data from: Invasive pathogen drives host population collapse: effects of a travelling wave of sarcoptic mange on bare-nosed wombats
1.Emerging and invasive pathogens can have long-lasting impacts on susceptible wildlife populations, including localised collapse and extirpation. Management of threatening disease is of widespread interest and requires knowledge of spatiotemporal patterns of pathogen spread. 2.Theory suggests disease spread often occurs via two patterns: homogenous mixing and travelling waves. However, high resolution empirical data demonstrating localised (within population) disease spread patterns are rare. 3.This study examined the spread of sarcoptic mange (aetiological agent Sarcoptes scabiei) in a population of bare-nosed wombats (Vombatus ursinus), and investigated whether pathogen spread occurred by homogenous mixing or a travelling wave. 4.Using seven years of population surveys and four years of disease severity surveys, we show that mange was first detected in the east of a wombat population in northern Tasmania, and progressed westward as a travelling wave. Wombat mortality rates reached 100% behind the wave, with a 94% decline in overall wombat abundance within the park. 5.Synthesis and applications. Globally distributed pathogens may have severe impacts on susceptible host species. This is the first study to quantify population level impacts of sarcoptic mange upon bare-nosed wombats, showing a wave of mange disease which resulted in a dramatic population decline. Successful management of the spread of this and similar pathogens may hinge on the capacity to establish transmission barriers at local or between-population scales.
Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near locl limit
<p>Figures for paper</p>
Data from: Travelling Wave Pulse Coupled Oscillator (TWPCO) Using a Self-Organizing Scheme for Energy-efficient Wireless Sensor Networks
Open the record for dataset details and reuse information.
Data from: Invasive pathogen drives host population collapse: effects of a travelling wave of sarcoptic mange on bare-nosed wombats
Open the record for dataset details and reuse information.
Circulating traveling waves rapidly pace and mature hiPSC-derived cardiomyocytes in self-organized tissue ring
GEO Series GSE140466. Homo sapiens. 7 samples. Type: Expression profiling by high throughput sequencing.
Dataset for A Translaminar Spacetime Code Supports Touch-Evoked Traveling Waves
<p>Processed dataset in regards to the figures generated in the paper</p>
Traveling-wave Transcranial Electric Stimulation
ClinicalTrials.gov study NCT05399381. IPD Sharing: YES. Countries: 1. Publications: 0.
Induction of hemodynamic traveling waves by glial-driven vasomotion in a rat model of neuroinflammation: implications for functional neuroimaging
GEO Series GSE292745. Rattus norvegicus. 1 samples. Type: Expression profiling by high throughput sequencing.
Radar observations of traveling ionospheric disturbances produced by high power HF radio waves and natural sources
<p>The zip-archived data underlying the publication.</p>
W-band Traveling Wave Tube Gain and Output Power
<p>This dataset corresponds to the underlying data of the paper titled "W-band TWTs for New Generation High Capacity Wireless Networks" published in Proc. of 17th International Vacuum Electronics Conference (IVEC 2016).</p> <p> </p>
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