IJPAM: Volume 83, No. 2 (2013)
THE DYNAMICS OF POPULATIONS MODELED BY
DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES
Department of Mathematics
Technical University of Sliven
8800, Sliven, BULGARIA
Abstract. This paper is dealing with the
investigation of oscillating properties of delay differential
equations with impulses, which model the dynamics of populations.
A technique based on a special function called ``impulsive
exponent" is developed for construction of their characteristic
equations. The resulting characteristic equations are examined
for conditions under which the constructed solutions of the
studied differential equations are found to be oscillating. The
proposed method can be applied to solve practical problems in the
field of the population dynamics, econometrics (dynamics of
Goodwin's business cycles) etc.
Received: December 11, 2012
AMS Subject Classification:
Key Words and Phrases: delay differential equation, impulse, oscillating solution, characteristic equation, impulsive exponent
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DOI: 10.12732/ijpam.v83i2.15 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 2