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Integro-differential equations with time-varying delay

Chocholatý, Pavol (2013)

Programs and Algorithms of Numerical Mathematics

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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