Understanding how patterns and travelling waves form in chemical and biological reaction-diffusion models is an area which has been widely researched, yet is still experiencing fast development. Surprisingly enough, we still do not have a clear understanding about all possible types of dynamical regimes in classical reaction-diffusion models, such as Lotka-Volterra competition models with spatial dependence. In this study, we demonstrate some new types of wave propagation and pattern formation in a classical three species cyclic competition model with spatial diffusion, which have been so far missed in the literature.
View Article and Find Full Text PDFAn posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes. The estimator is fully computable as it relies only on quantities available from the VEM solution, namely its degrees of freedom and element-wise polynomial projection.
View Article and Find Full Text PDFSpontaneous rupture of a non parasitic hepatic cyst is an extremely rare occurrence. A 50 -year- old male, was admitted with typical clinical manifestations of acute surgical abdomen. At exploratory laparotomy, a giant ruptured non parasitic cyst occupying the entire left liver lobe was found, along with a large amount of free intraperitoneal fluid.
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