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تسجيل مستخدم جديدOn the transient and steady state of mass-conserved reaction diffusion systems
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Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At steady state, the distance between stripes is much longer than that estimated by linear stability analysis at a homogeneous state given by alternative stability conditions. We show that there exist systems in which a one-stripe pattern is solely steady state for an arbitrary size of the systems. The applicability to cell biology is discussed.
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The existence and stability of localized patterns of criminal activity are studied for the reaction-diffusion model of urban crime that was introduced by Short et. al. [Math. Models. Meth. Appl. Sci., 18, Suppl. (2008), pp. 1249--1267]. Such patterns
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Realistic examples of reaction-diffusion phenomena governing spatial and spatiotemporal pattern formation are rarely isolated systems, either chemically or thermodynamically. However, even formulations of `open reaction-diffusion systems often neglec
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