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.

EUDML-ID : urn:eudml:doc:271415
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Mots clés:

@article{702706,
     title = {Integro-differential equations with time-varying delay},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {51-56},
     url = {http://dml.mathdoc.fr/item/702706}
}

Chocholatý, Pavol. Integro-differential equations with time-varying delay, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2013), pp. 51-56. http://gdmltest.u-ga.fr/item/702706/