Results 71 to 80 of about 5,278,448 (205)
Spatiotemporal Pattern in a Self- and Cross-Diffusive Predation Model with the Allee Effect
Discrete Dynamics in Nature and Society, 2013 This paper proposes and analyzes a mathematical model for a predator-prey interaction with the Allee effect on prey species and with self- and cross-diffusion. The effect of diffusion which can drive the model with zero-flux boundary conditions to Turing
Feng Rao
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Effects of cross-diffusion for a prey-predator system in a heterogeneous environment
Electronic Journal of Differential Equations, 2019 This article concerns the stationary problem of a cross-diffusion prey-predator system with a protection zone for the prey. We first give the necessary condition and sufficient condition for the existence of coexistence states of the two species, by ...
Yaying Dong, Shanbing Li, Yanling Li
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Open PhysicsModern heat transport processes such as fuel cells, hybrid engines, microelectronics, refrigerators, heat exchangers, grinding, coolers, machining, and pharmaceutical operations may benefit from the unique properties of nanoliquids. By considering Al2O3{{
Senthilvadivu Karuppiah +3 more
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Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion
Abstract and Applied Analysis, 2013 We consider the effect of time delay and cross diffusion on the dynamics of a modified Leslie-Gower predator-prey model incorporating a prey refuge.
Xinze Lian, Shuling Yan, Hailing Wang
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The diffusion of Internet: a cross-country analysis [PDF]
This paper analyzes the process of Internet diffusion across the world using a panel of 214 countries during the period 1990-2004. Countries are classified as low and high-income and it is shown that the diffusion process is characterized by a different ...
Mame Astou Diouf +3 more
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Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
Letters in Biomathematics, 2019 Pattern formation is widely studied in spatio-temporal prey– predator models with only self-diffusion terms. Models with cross-diffusion, besides self-diffusion, take care of the situation in which presence, absence, abundance or scarcity of one species ...
Nayana Mukherjee +2 more
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Mathematics, 2019 Diffusion has long been known to induce pattern formation in predator prey systems. For certain prey-predator interaction systems, self diffusion conditions ceases to induce patterns, i.e., a non-constant positive solution does not exist, as seen from ...
Nitu Kumari, Nishith Mohan
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Molecular diffusion under confinement [PDF]
, 2005 With reference to molecular transport in manifold media of porous structure, a survey is given on the ample spectrum of diffusion phenomena under confinement.
Kärger, Jörg
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Jessie Cross on park bench, ca. 1924 [picture] /
, 1924 Part of the Stan Cross Archive of cartoons and drawings, 1912-1974.; Inscription: "Jessie Cross taken 1915"--In ink on verso.; Title devised by cataloguer.; Also available in an electronic version via the internet at: http://nla.gov.au/nla.pic ...
Cross, Stan, 1888-1977.
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Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion
Abstract and Applied Analysis, 2013 A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated.
Lina Zhang, Shengmao Fu
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