Euler-like discrete models of the logistic differential equation
نویسندگان
چکیده
منابع مشابه
On Discrete Models of the Euler Equation
We consider two discrete models for the Euler equation describing incompressible fluid dynamics. These models are infinite coupled systems of ODEs for the functions uj which can be thought of as wavelet coefficients of the fluid velocity. The first model has been proposed and studied by Katz and Pavlović. The second has been recently discussed by Waleffe and goes back to Obukhov studies of the ...
متن کاملDelay differential logistic equation with harvesting
l~(t) = r(t)N(t) a bkN(hk(t)) cz(t)N(gl(t)), t >_ O, l = l N(t )=~( t ) , t<O, N(O)=No, is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. © 2005 Elsevier Ltd. All rights reserved. K e y w o r d s D e l a y logistic equations, Linear harvesting, Positive solutions, Extinction of the population, S...
متن کاملPeter and Anti-peter Principle as the Discrete Logistic Equation
In this work Peter principle (in the hierarchical structure any competent member tends to rise to his level of incompetence) is consistently interpreted as the discrete form of the well-known logistic (Verhulst or Maltusian) equation of the population dynamics. According to such interpretation anti-Peter principle (in the hierarchical structure any incompetent member tends to rise to his level ...
متن کاملFrom Discrete Boltzmann Equation to Compressible Linearized Euler Equations
This paper concerns the asymptotic analysis of the linearized Euler limit for a general discrete velocity model of the Boltzmann equation. This is done for any dimension of the physical space, for densities which remain in a suitable small neighbourhood of global Maxwellians. Providing that the initial fluctuations are smooth, the scaled solutions of discrete Boltzmann equation are shown to hav...
متن کاملFUZZY LOGISTIC DIFFERENCE EQUATION
In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= beta x_n(1- x_n), n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Huku...
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: Computers & Mathematics with Applications
سال: 1998
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)80022-9