Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion by Xinze Lian, Shuling Yan, Hailing Wang

“…The results indicate that time delay and cross diffusion play important roles in pattern formation.…”
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Pattern Formation in a Cross-Diffusive Holling-Tanner Model by Weiming Wang, Zhengguang Guo, R. K. Upadhyay, Yezhi Lin

“…And the methods and results in the present paper may be useful for the research of the pattern formation in the cross-diffusive model.…”
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Distributed Time Division Pattern Formation for Wireless Communication Networks by Kosuke Sekiyama, Yuki Kubo, Shigeru Fukunaga, Masaaki Date

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Turing instabilities and pattern formation in a benthic nutrient-microorganism system by Martin Baurmann, Wolfgang Ebenhöh, Ulrike Feudel

Subjects: “…pattern formation…”
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Regularities of fracture pattern formation in alumina ceramics subjected to dynamic indentation by E. Tolmacheva (Lyapunova), M. Davydova, V. Chudinov, S. Uvarov, O. Naimark, D. Zaytsev, P. Panfilov

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Bifurcation, Chaos, and Pattern Formation for the Discrete Predator-Prey Reaction-Diffusion Model by Lili Meng, Yutao Han, Zhiyi Lu, Guang Zhang

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Pattern formation of a predator-prey model with the cost of anti-predator behaviors by Xiaoying Wang, Xingfu Zou

Subjects: “…pattern formation…”
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Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model by Xinze Lian, Yanhong Yue, Hailing Wang

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Pattern Formation inside a Rotating Cylinder Partially Filled with Liquid and Granular Medium by Veronika Dyakova, Victor Kozlov, Denis Polezhaev

“…The experimental study of long time dynamics of pattern formation manifests that regular ripples transform into a series of dunes within a few minutes or dozens of minutes. …”
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Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay by Boli Xie, Zhijun Wang, Yakui Xue

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Mesoscale heterogeneity is a critical determinant for spiral pattern formation in developing social amoeba by Taishi Kakizuka, Hidenori Nakaoka, Yusuke Hara, Aya Ichiraku, Yoshiyuki Arai, Hiroya Itoga, Shuichi Onami, Taro Ichimura, Takeharu Nagai, Kazuki Horikawa

“…We propose that mesoscale heterogeneity, in addition to microscale and macroscale heterogeneities, is a critical determinant of diverse multicellular pattern formations.…”
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Modelling periodic oscillations during somitogenesis by Peng Feng, Menaka Navaratna

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Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior by Yuxuan Pan, Shuling Shen, Linhe Zhu

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Pattern Formation in a Reaction-Diffusion Predator-Prey Model with Weak Allee Effect and Delay by Hua Liu, Yong Ye, Yumei Wei, Weiyuan Ma, Ming Ma, Kai Zhang

“…The effects of Allee effect and delay on pattern formation are discussed by numerical simulation. …”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

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Artificial cell system as a tool for investigating pattern formation mechanisms of intracellular reaction-diffusion waves by Sakura Takada, Kei Fujiwara

“…Because of this complexity, experiments using defined elements rather than living cells containing endogenous factors are necessary to elucidate their pattern formation mechanisms. In this review, we summarize the effectiveness of artificial cell systems for investigating iRD waves derived from their high controllability and ability to emulate cell-size space effects. …”
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Neimark-Sacker-Turing Instability and Pattern Formation in a Spatiotemporal Discrete Predator-Prey System with Allee Effect by Huayong Zhang, Xuebing Cong, Tousheng Huang, Shengnan Ma, Ge Pan

“…A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation. Based on the occurrence of stable homogeneous stationary states, conditions for Neimark-Sacker bifurcation and Turing instability are determined. …”
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Functions of thyroid hormone signaling in regulating melanophore, iridophore, erythrophore, and pigment pattern formation in spotted scat (Scatophagus argus) by Yongguan Liao, Tong Han, Dongneng Jiang, Chunhua Zhu, Gang Shi, GuangLi Li, Hongjuan Shi

“…However, the regulatory mechanism of body color patterns formation was poorly understood. Thyroid hormones (TH) function as an important endocrine factor in regulating metamorphosis. …”
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In situ experiments in microgravity and phase-field simulations of the lamellar-to-rod transition during eutectic growth by Akamatsu, Silvère, Bottin-Rousseau, Sabine, Şerefoğlu, Melis, Witusiewicz, Victor T., Hecht, Ulrike, Plapp, Mathis

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The Turing heritage for plant biology: all spots and stripes? by Eric Siero, Eva E. Deinum

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