Results 91 to 100 of about 330,116 (279)
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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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Introduction Progressive Supranuclear Palsy (PSP) is a neurodegenerative ‘tauopathy’ with predominating pathology in the basal ganglia and midbrain. Caudal tau spread frequently implicates the cerebellum; however, the pattern of atrophy remains equivocal.
Chloe Spiegel +8 more
wiley +1 more source
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
doaj
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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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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Existence of Solutions to Reaction Cross Diffusion Systems
SIAM Journal on Mathematical Analysis, 2023 Reaction cross diffusion systems are a two species generalization of the porous media equation. These systems play an important role in the mechanical modeling of living tissues and tumor growth. Due to their mixed parabolic-hyperbolic structure, even proving the existence of solutions to these equations is challenging.
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang +10 more
wiley +1 more source
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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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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Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende +26 more
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