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Periodic Solution of a Discretized Age-Dependent Model with a Dominant Age Class

Authors:
Zlatinka Kovacheva
Valery Covachev

Keywords: age-dependent model; impulse effect; discrete-time equation; periodic solution

Abstract:
A delay differential equation for the population size is derived from an age-dependent model with a dominant age class. This equation is provided with impulse conditions and its discrete-time counterpart is constructed using the semi-discretization method. Sufficient conditions for the existence of a periodic solution of the resulting difference problem are found by Mawhin's continuation theorem.

Pages: 23 to 28

Copyright: Copyright (c) IARIA, 2019

Publication date: July 28, 2019

Published in: conference

ISSN: 2308-3484

ISBN: 978-1-61208-732-0

Location: Nice, France

Dates: from July 28, 2019 to August 2, 2019