Hybrid approaches for multiple-species stochastic reaction–diffusion models
نویسندگان
چکیده
منابع مشابه
Hybrid approaches for multiple-species stochastic reaction–diffusion models
Reaction-diffusion models are used to describe systems in fields as diverse as physics, chemistry, ecology and biology. The fundamental quantities in such models are individual entities such as atoms and molecules, bacteria, cells or animals, which move and/or react in a stochastic manner. If the number of entities is large, accounting for each individual is inefficient, and often partial diffe...
متن کاملBisimulation for stochastic hybrid models
We consider large queueing networks for which transient and stationary probability distributions are very difficult or impossible to obtain due to the state space explosion. We apply the coupling by mapping functions in order to compare large size multidimensional Markov chains with smaller ones, generating bounds on stationary and transient performance measures. When the processes have many tr...
متن کاملBiochemical simulations: stochastic, approximate stochastic and hybrid approaches
Computer simulations have become an invaluable tool to study the sometimes counterintuitive temporal dynamics of (bio-)chemical systems. In particular, stochastic simulation methods have attracted increasing interest recently. In contrast to the well-known deterministic approach based on ordinary differential equations, they can capture effects that occur due to the underlying discreteness of t...
متن کاملSingle-species versus Multiple-species Approaches for Management
Neotropical migratory birds are major components of the avifauna in most North American terrestrial ecosystems. Over 150 species of Neotropical migratory birds are known to breed in North America (Finch 199Ia). Given the large number of species, developing effective management strategies for Neotropical migratory birds is a monumental task because each species exploits a unique niche, and thus ...
متن کاملStochastic Hybrid Models: an Overview
An overview of Stochastic Hybrid Models developed in the literature is presented. Attention is concentrated on three classes of models: Piecewise Deterministic Markov Processes, Switching Diffusion Processes and Stochastic Hybrid Systems. The descriptive power of the three classes is compared and conditions under which the classes coincide are developed. The theoretical analysis is motivated by...
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: Journal of Computational Physics
سال: 2015
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2015.07.002