INTERACTIVE DYNAMICS IN A BISTABLE ATTRACTION-REPULSION CHEMOTAXIS SYSTEM
نویسندگان
چکیده
منابع مشابه
Boundedness in a Three-dimensional Attraction-repulsion Chemotaxis System with Nonlinear Diffusion and Logistic Source
This article concerns the attraction-repulsion chemotaxis system with nonlinear diffusion and logistic source, ut = ∇ · ((u+ 1)m−1∇u)−∇ · (χu∇v) +∇ · (ξu∇w) + ru− μu , x ∈ Ω, t > 0, vt = ∆v + αu− βv, x ∈ Ω, t > 0, wt = ∆w + γu− δw, x ∈ Ω, t > 0 under Neumann boundary conditions in a bounded domain Ω ⊂ R3 with smooth boundary. We show that if the diffusion is strong enough or the logistic dampen...
متن کاملCollective Dynamics of Swarms with a New Attraction/Repulsion Function
We specify an “individual-based” continuous-timemodel for swarm aggregation in n-dimensional Euclidean space. We show that the swarm is completely stable, and the center of the swarm is stationary. Numerical simulations indicate that the individuals will form a stable and cohesive swarm, and under the attraction/repulsion function, the bound of the swarm size will increase as the number of indi...
متن کاملClassical solutions and steady states of an attraction-repulsion chemotaxis in one dimension.
We establish the existence of global classical solutions and non-trivial steady states of a one-dimensional attraction-repulsion chemotaxis model subject to the Neumann boundary conditions. The results are derived based on the method of energy estimates and the phase plane analysis.
متن کاملRepulsion and Attraction with Sema3D
Calcium entry into the dendritic spines of excitatory neurons is important for many forms of synaptic plasticity. In this issue, Hoogland and Saggau continue efforts to inventory the calcium channels that function in dendritic spines. They evoked backpropagating action potentials at the soma of CA1 neurons in rat hippocampal slices and recorded calcium transients in basal dendrites and spines u...
متن کاملA Model of Lexical Attraction and Repulsion
This paper introduces new methods based on exponential families for modeling the correlations between words in text and speech. While previous work assumed the effects of word co-occurrence statistics to be constant over a window of several hundred words, we show that their influence is nonstationary on a much smaller time scale. Empirical data drawn from English and Japanese text, as well as c...
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: Korean Journal of Mathematics
سال: 2016
ISSN: 1976-8605
DOI: 10.11568/kjm.2016.24.2.215