Multidimensional Stability of Planar Traveling Waves for Competitive–Cooperative Lotka–Volterra System of Three Species by Na Shi, Xin Wu, Zhaohai Ma

“…We investigate the multidimensional stability of planar traveling waves in competitive–cooperative Lotka–Volterra system of three species in <i>n</i>-dimensional space. For planar traveling waves with speed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>c</mi><mo>></mo><msup><mi>c</mi><mo>*</mo></msup></mrow></semantics></math></inline-formula>, we establish their exponential stability in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>L</mi><mo>∞</mo></msup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, which is expressed as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>t</mi><mrow><mo>−</mo><mstyle><mfrac><mi>n</mi><mn>2</mn></mfrac></mstyle></mrow></msup><msup><mi mathvariant="normal">e</mi><mrow><mo>−</mo><msub><mi>ε</mi><mi>τ</mi></msub><mi>σ</mi><mi>t</mi></mrow></msup></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>σ</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula> is a constant and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mi>τ</mi></msub><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula> depends on the time delay <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>τ</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula> as a decreasing function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mi>τ</mi></msub><mo>=</mo><mi>ε</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
Get full text

A FAIR and open geographic data collection for the Massaciuccoli Lake basin wetland in ItalyZenodoZenodo by Gian Luca Vannini, Pasquale Bove, Gianpaolo Coro

“…The creation of a catalogue of geodata harmonised over time and space is essential for describing the status of ecosystem services in wetlands. …”
Get full text

Noel Hernández Rodríguez, scalpel in hand plastic surgeon by Tatiana Hernández González, Yaneisy Valdés Gutierrez, Yurisbel Tomás Solenzal Alvarez

“…Hilario Hernández Rodríguez, "Noe", as he was affectionately called by his residents and by all those who knew him as Noel, passed away on December 24, 2023, leaving an empty physical space next to family, friends, co-workers, patients and those who were his students for many years.…”
Get full text

Reims antique, acquis et perspectives by Magalie Cavé, Philippe Rollet, Régis Bontrond

“…At the end of the reign of Augustus and especially during the reign of Tiberius, the urban grid would begin to be structured around, and then secured durably, within the essential part of the great enclosure’s urbanized space. The original urban center, which corresponds to the ancient oppidum, appears to have been transferred to the domus, while the other two types of occupations, residential and modest, were located outside, intermingled, to a greater or lesser extent, with spaces dedicated to craft or commercial activities. …”
Get full text

L’enterrement d’une triade divine féminine à Lugdunum : étude du dépôt de la place d’Albon à Lyon (Métropole de Lyon) by Lucas Guillaud, Emmanuel Bernot, Aline Colombier-Gougouzian, Amaury Gilles, Nicolas Garnier

“…Based on the evidence collected, it seems that the items examined might have been part of a small cult space located within the warehouse. Similar examples found in Italy, including Rome and Ostia, as well as in other areas, suggest that horrea often contained sacred spaces associated with patron deities like Fortuna, Bona Dea, Sol, Silvain, Liber Pater, and Genius horreorum. …”
Get full text

New era towards autonomous additive manufacturing: a review of recent trends and future perspectives by Haolin Fan, Chenshu Liu, Shijie Bian, Changyu Ma, Junlin Huang, Xuan Liu, Marshall Doyle, Thomas Lu, Edward Chow, Lianyi Chen, Jerry Ying Hsi Fuh, Wen Feng Lu, Bingbing Li

“…These capabilities streamline production processes and expand the possibilities for innovation, particularly in sectors like in-space manufacturing. Additionally, this paper discusses the role of AI in self-optimization and lifelong learning, positing that the future of AM will be characterized by a symbiotic relationship between human expertise and advanced autonomy, fostering a more adaptive, resilient manufacturing ecosystem.…”
Get full text

Spatiotemporal range dynamics and conservation optimization for endangered medicinal plants in the Himalaya by Fu-Lv Liu, Winnie Wanjiku Mambo, Jie Liu, Guang-Fu Zhu, Raees Khan, Abdullah, Shujaul Mulk Khan, Lu Lu

“…However, our understanding of species distribution across space and time under climate change scenarios, as well as effective conservation planning for these medicinal plants in the Himalaya, remains limited. …”
Get full text

Lattes/Lattara (Hérault), comptoir étrusque du littoral languedocien by Éric Gailledrat, Ariane Vacheret

“…The seaport of Lattara, located at the mouth of the Lez river on a narrow sandbank protruding into the lagoon, was a trading post widely open to Mediterranean trade which, throughout the Late Iron Age, was part of the economic sphere of influence of the Greek colony of Massilia. The space available on this peninsula, encompassing an area of about 3.5 ha, seems to have been completely occupied as early as the foundation of the site. …”
Get full text

Establishing a radiomics model using contrast-enhanced ultrasound for preoperative prediction of neoplastic gallbladder polyps exceeding 10 mm by Dong Jiang, Yi Qian, Yijun Gu, Ru Wang, Hua Yu, Zhenmeng Wang, Hui Dong, Dongyu Chen, Yan Chen, Haozheng Jiang, Yiran Li

“…CEUS has a high accuracy rate in diagnosing the benign or malignant nature of gallbladder space-occupying lesions, which can significantly reduce the preoperative waiting time for related examinations and provide more reliable diagnostic information for clinical practice. …”
Get full text

Dynamic EIT technology for real-time non-invasive monitoring of acute pulmonary embolism: a porcine model experiment by Junyao Li, Mingxu Zhu, Yitong Guo, Weichen Li, Qing He, Yu Wang, Yuxuan Liu, Benyuan Liu, Yang Liu, Weice Wang, Zhenyu Ji, Xuetao Shi

“…Furthermore, the extracted indicators from regional ventilation demonstrated notable discrepancies, the V/Q match% (P < 0.001) and Dead Space% (P < 0.001) exhibited the most pronounced sensitivity to alterations in acute pulmonary embolism. …”
Get full text

An analytical method for the desorption superposition effect in commingled production of coalbed methane and its application: A case study of the Xiaotun mine field in western Guiz... by Chen GUO, Yan JI, Chenyi ZHAO, Lingling LU, Xinhang YU, Junzhe GAO, Houqiang LI, Xuyang ZHANG, Xiang WANG, Hongbin HE, Runhan ZHANG

“…However, limitations like insufficient pressure drop space and long drainage periods impose high requirements for coal seam stimulation and CBM production. …”
Get full text

Establishing rabbit critical-size bone defects to evaluate the bone-regeneration potential of porous calcium phosphate ceramics by Wei Lei, Yan Wu, Yan Wu, Hao Yuan, Ping He, Jingqi Wu, Jingrong Chen, Yuxiao Liu, Hongmei Zhang, Joost D. de Bruijn, Xuerong Xiang, Ping Ji, Huipin Yuan, Huipin Yuan, Mingzheng Li

“…Furthermore, the bone area within the available space of BCP implants increased significantly from 19.3% ± 7.3% at 12 weeks to 37.7% ± 8.5% at 24 weeks (p = 0.0063), accompanied by significant BCP resorption (14.8% at 12 weeks and 30.2% at 24 weeks). …”
Get full text

About relevance of fundamentalisation of mathematical training of students of the pedagogical directions during the digital era by E. A. Perminov, D. D. Gadjiev, M. M. Abdurazakov

“…Against the background of progressively advanced mathematisation, which covers larger functional intellectual space, it is extremely important to provide the fundamental, advancing nature of mathematical training of students, including in the first place the students of the pedagogical directions. …”
Get full text

The effect of groundwater depth on topsoil organic matter mineralization during a simulated dry summer in northwestern Europe by A. Françoys, A. Françoys, O. Mendoza, J. Hu, P. Boeckx, W. Cornelis, S. De Neve, S. Sleutel

“…<span class="inline-formula">−115</span> cm) resulted in different topsoil moisture values for the sandy loam (31 % vs. 38 % water-filled pore space – WFPS) and silt loam (33 % vs. 43 % WFPS) soils. …”
Get full text

Ferroptosis in kidney disease: a bibliometric analysis from 2012 to 2024 by Yuxin Hu, Yuxin Hu, Yuxin Hu, Jingyi Tang, Jingyi Tang, Jingyi Tang, Hanzhang Hong, Hanzhang Hong, Yexin Chen, Yexin Chen, Beibei Ye, Ziheng Gao, Ziheng Gao, Gegongming Zhu, Lin Wang, Lin Wang, Lin Wang, Weijing Liu, Weijing Liu, Weijing Liu, Yaoxian Wang, Yaoxian Wang, Yaoxian Wang

“…Our study aim to examine the trends and future research directions in the field of ferroptosis in kidney disease, so as to further explore the target or treatment strategy for clinical treatment of kidney disease.Material and MethodsA thorough survey using the Web of Science Core Collection, focusing on literature published between 2012 and 2024 examining the interaction between kidney disease and ferroptosis was conducted. VOSviewer, CiteSpace, and Biblioshiny were used for in-depth scientometric and visualized analyses.ResultsFrom 2012 to 2024, a total of 2,244 articles met the inclusion criteria for final analysis. …”
Get full text

Human motion capture data recovery based on non-convex low-rank priors of temporal difference(非凸时序差分低秩约束的人体运动捕获数据恢复算法) by 胡文玉(HU Wenyu), 彭绍婷(PENG Shaoting), 郭震宇(GUO Zhenyu), 黄慧英(HUANG Huiying)

“…First, the data matrix is projected into the temporal difference space, and the temporal difference matrix is constructed. …”
Get full text

Sources of right to freedom of peaceful assembly by М. А. Sambor

“…The Constitution of Ukraine belongs to this type of sources of the right to freedom of peaceful assembly (as its special norms intended to regulate public relations in the exercise of the right to freedom of peaceful assembly in Ukrainian society, as well as general rules that ensure the ordering of relations and the formation of legal space for the implementation of the said rights), the Civil Code of Ukraine, the Code of Administrative Judiciary of Ukraine, as well as other procedural normative legal acts, which, although they do not contain any special rules, are directed to regulate relations precisely with the exercise of the right to freedom of peaceful assembly, but in their general form provide the opportunity to regulate a number of aspects of the exercise of the right to freedom of peaceful assembly. …”
Get full text

New Insights on Keller–Osserman Conditions for Semilinear Systems by Dragos-Patru Covei

“…In this article, we consider a semilinear elliptic system involving gradient terms of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="{" close=""><mtable><mtr><mtd columnalign="left"><mrow><mo>Δ</mo><mi>y</mi><mfenced open="(" close=")"><mi>x</mi></mfenced><mo>+</mo><msub><mi>λ</mi><mn>1</mn></msub><mfenced separators="" open="|" close="|"><mo>∇</mo><mi>y</mi><mfenced open="(" close=")"><mi>x</mi></mfenced></mfenced><mo>=</mo><mi>p</mi><mfenced open="(" close=")"><mfenced open="|" close="|"><mi>x</mi></mfenced></mfenced><mi>f</mi><mfenced separators="" open="(" close=")"><mi>y</mi><mfenced open="(" close=")"><mi>x</mi></mfenced><mo>,</mo><mi>z</mi><mfenced open="(" close=")"><mi>x</mi></mfenced></mfenced></mrow></mtd><mtd columnalign="left"><mrow><mi>i</mi><mi>f</mi></mrow></mtd><mtd columnalign="left"><mrow><mi>x</mi><mo>∈</mo><mo>Ω</mo><mo>,</mo></mrow></mtd></mtr><mtr><mtd columnalign="left"><mrow><mo>Δ</mo><mi>z</mi><mfenced open="(" close=")"><mi>x</mi></mfenced><mo>+</mo><msub><mi>λ</mi><mn>2</mn></msub><mfenced separators="" open="|" close="|"><mo>∇</mo><mi>z</mi><mfenced open="(" close=")"><mi>x</mi></mfenced></mfenced><mo>=</mo><mi>q</mi><mfenced open="(" close=")"><mfenced open="|" close="|"><mi>x</mi></mfenced></mfenced><mi>g</mi><mfenced separators="" open="(" close=")"><mi>y</mi><mfenced open="(" close=")"><mi>x</mi></mfenced></mfenced></mrow></mtd><mtd columnalign="left"><mrow><mi>i</mi><mi>f</mi></mrow></mtd><mtd columnalign="left"><mrow><mi>x</mi><mo>∈</mo><mo>Ω</mo><mo>,</mo></mrow></mtd></mtr></mtable></mfenced></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>λ</mi><mn>1</mn></msub></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>λ</mi><mn>2</mn></msub><mo>∈</mo><mfenced separators="" open="[" close=")"><mn>0</mn><mo>,</mo><mo>∞</mo></mfenced></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ω</mo></semantics></math></inline-formula> is either a ball of radius <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula> or the entire space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>N</mi></msup></semantics></math></inline-formula>. …”
Get full text

Investigation on Circadian Regulation of Four-Primary LED Display Differed in People by GA by Wenhui Li, Junying Li, Yating Feng, Yi Lin, Haoyang Liu, Ruoping Lian, Qinzhen Lin, Jingyi Cui, Zixin Huang, Yaling Chai, Ziquan Guo, Lili Zheng, Zhong Chen

“…Then, the genetic algorithm is adopted for performing the spectral optimization of four-primary LED display while many constraint conditions are set, such as CCT values (2700 K and 6500 K), CCT tolerance, and color distance (<italic>D</italic>_uv &lt; 0.01) in the CIE 1960 UCS color space. Related results of visual and non-visual characteristics are also compared with those of three-primary LED displays. …”
Get full text

On Discrete Shifts of Some Beurling Zeta Functions by Antanas Laurinčikas, Darius Šiaučiūnas

“…For the proof, a weak convergence of probability measures in the space of analytic functions is applied.…”
Get full text