Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
An anticipatory extension of Malthusian model
Date
2005-08-13
Author
Akhmet, Marat
Öktem, Hüseyin Avni
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
176
views
0
downloads
Cite This
In this paper, on the base of a new variable - deviation of population from an average value, we propose a new extension of the Malthusian model (see equations (10), (15) and (20)) using differential equations with piecewise constant argument which can be retarded as well as advanced. We study existence of periodic solutions and stability of the equations by method of reduction to discrete equations [4]. Equations (15) and (20) with advanced argument are systems with strong anticipation [6, 7]. Moreover, we obtain a new interpretation of known results for differential equations with piecewise constant argument (6) and (8).
Subject Keywords
Malthusian model
,
Strong anticipation
,
Stability
,
Piecewise constant argument
URI
https://hdl.handle.net/11511/52725
Collections
Department of Mathematics, Conference / Seminar
Suggestions
OpenMETU
Core
A categorical approach to the maximum theorem
Koudenburg, Seerp Roald (2018-08-01)
Berge's maximum theorem gives conditions ensuring the continuity of an optimised function as a parameter changes. In this paper we state and prove the maximum theorem in terms of the theory of monoidal topology and the theory of double categories.
Almost periodic solutions of the linear differential equation with piecewise constant argument
Akhmet, Marat (2009-10-01)
The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.
An error analysis of iterated defect correction methods for linear differential-algebraic equations
Karasözen, Bülent (1996-01-01)
Asymptotic expansions of the global error of iterated defect correction (IDeC) techniques based on the implicit Euler method for linear differential-algebraic equations (dae's) of arbitrary index are analyzed. The dependence of the maximum attainable convergence order on the degree of the interpolating polynomial, number of defect correction steps, and on the index of the differential-algebraic system is given. The efficiency of IDeC method and extrapolation is compared on the basis of numerical experiments...
Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
Akhmet, Marat; Yılmaz, Elanur (2010-09-01)
In this paper, we apply the method of Lyapunov functions for differential equations with piecewise constant argument of generalized type to a model of recurrent neural networks (RNNs). The model involves both advanced and delayed arguments. Sufficient conditions are obtained for global exponential stability of the equilibrium point. Examples with numerical simulations are presented to illustrate the results.
On continuous dependence on coefficients of the Brinkman-Forchheimer equations
Celebi, A. O.; Kalantarov, V. K.; Ugurlu, D. (2006-08-01)
We prove continuous dependence of solutions of the Brinkman-Forchheinier equations on the Brinkman and Forchheimer coefficients in H-1 norm.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Akhmet and H. A. Öktem, “An anticipatory extension of Malthusian model,” 2005, vol. 839, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52725.