Traveling waves in lattice differential equations with distributed maturation delay
نویسندگان
چکیده
منابع مشابه
Traveling waves in lattice differential equations with distributed maturation delay
In this paper we derive a lattice model with infinite distributed delay to describe the growth of a single-species population in a 2D patchy environment with infinite number of patches connected locally by diffusion and global interaction. We consider the existence of traveling wave solutions when the birth rate is large enough that each patch can sustain a positive equilibrium. When the birth ...
متن کاملPeriodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
متن کاملExistence and uniqueness of traveling waves in a class of unidirectional lattice differential equations
We prove the existence and uniqueness, for wave speeds sufficiently large, of monotone traveling wave solutions connecting 0 and 1 for a class of N -dimensional lattice differential equations with unidirectional coupling. We also obtain a variational characterization of the minimum wave speed. The class of systems that we study includes as a special case the one-dimensional lattice equation un ...
متن کاملSpatial Patterns, Spatial Chaos, and Traveling Waves in Lattice Differential Equations
We survey recent results in the theory of lattice diierential equations. Such equations yield continuous-time, usually innnite-dimensional, dynamical systems , which possess a discrete spatial structure modeled on a lattice. The systems we consider, generally over a higher-dimensional lattice such as Z Z D IR D , are the simplest nontrivial ones which incorporate both local nonlinear dynamics a...
متن کاملExistence of traveling wave fronts of delayed lattice differential equations ✩
Existence of traveling wave fronts for delayed lattice differential equations is established by Schauder fixed point theorem. The main result is applied to a delayed and discretely diffusive model for the population of Daphnia magna. 2004 Elsevier Inc. All rights reserved.
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2013
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.44