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Article

Chocholatý, Pavol
Integro-differential equations with time-varying delay. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 51-56
MSC: 45J05, 47G20, 65D30
Keywords:
integro-differential equations; time-varying delay; Lotka-Volterra predator-prey systems
Summary:
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.
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