Reaction–diffusion processes and metapopulation models in heterogeneous networks
نویسندگان
چکیده
منابع مشابه
Reaction-diffusion processes and metapopulation models in heterogeneous networks
Dynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities – such as density, potential and particles – diffuse and interact according to the physical laws. Here, we study the behavior of two basic reaction-diffusion processes (B → A and A + B → 2B) defined on networks with heterogeneous topology a...
متن کاملReaction-diffusion processes and metapopulation models on duplex networks
Reaction-diffusion processes, used to model various spatially distributed dynamics such as epidemics, have been studied mostly on regular lattices or complex networks with simplex links that are identical and invariant in transferring different kinds of particles. However, in many self-organized systems, different particles may have their own private channels to keep their purities. Such divisi...
متن کاملInvasion threshold in heterogeneous metapopulation networks.
We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity patterns. In susceptible-infected-removed-like processes, along with the standard local epidemic threshold, the system exhibits a global invasion threshold. We provide an explicit expression of the threshold that sets a critical value of the diffusion/mobility rate below, ...
متن کاملThe Scaling of Human Contacts in Reaction-Diffusion Processes on Heterogeneous Metapopulation Networks
Michele Tizzoni, ∗ Kaiyuan Sun, † Diego Benusiglio, 3, ‡ Márton Karsai, § and Nicola Perra ¶ Computational Epidemiology Laboratory, ISI Foundation, Torino, via Alassio 11/C, Italy Laboratory for the Modeling of Biological and Socio-technical Systems, Northeastern University, Boston MA 02115 USA Dipartimento di Fisica, Universitá degli Studi di Torino, via Giuria 1, Torino, Italy Laboratoire de ...
متن کاملStrategy to suppress epidemic explosion in heterogeneous metapopulation networks.
We propose an efficient strategy to suppress epidemic explosion in heterogeneous metapopulation networks, wherein each node represents a subpopulation with any number of individuals and is assigned a curing rate that is proportional to kα with the node degree k and an adjustable parameter α. We perform stochastic simulations of the dynamical reaction-diffusion processes associated with the susc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature Physics
سال: 2007
ISSN: 1745-2473,1745-2481
DOI: 10.1038/nphys560