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Integro-differential equations with time-varying delay. (English) Zbl 1340.65315
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 16. Proceedings of the 16th seminar (PANM), Dolní Maxov, Czech Republic, June 3–8, 2012. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-62-2). 51-56 (2013).
Author’s 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 present an approach based on \(q\)-step methods using quadrature formulas.
For the entire collection see [Zbl 1277.65001].
MSC:
65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
47G20 Integro-differential operators
92D40 Ecology
45F05 Systems of nonsingular linear integral equations
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