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Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modeled by diffusion in space or onmetapolulation networks. Alterna...
Abstract: The interaction of a Zeldovich reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and develop simple ...
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.
We analyzed conditions for Hopf and Turing instabilities to occur in two-component fractional reaction-diffusion systems. We showed that the eigenvalue spectrum and fractional derivative order mainly ...
A set of travelling wave solutions to a hyperbolic generalization of the convection-reaction-diffusion is studied by the methods of local nonlinear alnalysis and numerical simulation. Special attentio...
2002Vol.38No.2pp.243-246DOI: Target Pattern Waves in a Specific Reaction-Diffusion Equation ZHOU Tian-Shou and TANG Yun Department of Mathematical Sciences, Tsinghua Uni...
2006Vol.45No.4pp.761-764DOI: Turing Patterns in a Reaction-Diffusion System WU Yan-Ning, WANG Ping-Jian, HOU Chun-Ju, LIU Chang-Song, and ZHU Zhen-Gang Key Laboratory of...
2006Vol.45No.1pp.180-188DOI: Wave Instability and Spatiotemporal Chaos in Reaction-Diffusion System with Oscillatory Dynamics XIE Fa-Gen,1 YANG Jun-Zhong,2 and LI Hong-Gang3 ...
2005Vol.43No.4pp.597-600DOI: The First Integral Method to Study a Class of Reaction-Diffusion Equations KE Yun-Quan1 and YU Jun1,2 1 Institute of Nonlinear Science, Sha...
2004Vol.42No.4pp.637-640DOI: Spiral and Antispiral Waves in Reaction-Diffusion Systems LIU Yu-Fang,1,2 WU Yan-Ning,1 XU Hou-Ju,1 and SUN Jin-Feng1 1 College of Physics a...
Phase transitions of reaction-diffusion systems with a site occupation restriction, particle creation requiring n > 2 parents, and in which explicit diffusion of single particles (A) is possible, are ...
A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of...

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