Integro-differential equations with time-varying delay

Chocholatý, Pavol

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 51-56

Abstract

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Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on q -step methods using quadrature formulas.

How to cite

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Chocholatý, Pavol. "Integro-differential equations with time-varying delay." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 51-56. <http://eudml.org/doc/271415>.

@inProceedings{Chocholatý2013,
abstract = {Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on $q$-step methods using quadrature formulas.},
author = {Chocholatý, Pavol},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {integro-differential equations; time-varying delay; Lotka-Volterra predator-prey systems},
location = {Prague},
pages = {51-56},
publisher = {Institute of Mathematics AS CR},
title = {Integro-differential equations with time-varying delay},
url = {http://eudml.org/doc/271415},
year = {2013},
}

TY - CLSWK
AU - Chocholatý, Pavol
TI - Integro-differential equations with time-varying delay
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 51
EP - 56
AB - Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on $q$-step methods using quadrature formulas.
KW - integro-differential equations; time-varying delay; Lotka-Volterra predator-prey systems
UR - http://eudml.org/doc/271415
ER -

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