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Titlebook: Delay Differential Equations and Applications; Proceedings of the N O. Arino,M.L. Hbid,E. Ait Dads Conference proceedings 20061st edition S

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1568-2609 Overview: 978-1-4020-3646-0978-1-4020-3647-7Series ISSN 1568-2609
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,Alphabetisches Fachwörterverzeichnis,al number. . ([–., 0],.) denotes the space of continuous functions from [–., 0] to . with the uniform convergence topology and we will use simply .. for . ([–., 0],.). For . ∈ .([–., .],.), . > 0 and . ∈ [0, .], let .. denote the element of .. defined by ..(θ) = .(. + θ), –. ≤ θ ≤ 0.
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SOME GENERAL RESULTS AND REMARKS ON DELAY DIFFERENTIAL EQUATIONSr more generally functional differential equations, the past exerts its influence in a significant manner upon the future. Many models are better represented by functional differential equations, than by ordinary differential equations.
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A THEORY OF LINEAR DELAY DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONAL SPACESquations combining diffusion and delayed reaction. This is the situation in the first example that we are going to present, which is a model proposed by A. Calsina and O. El Idrissi ([11]), which joins spatial diffusion with demographic reaction.
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https://doi.org/10.1007/978-3-322-92326-4fferential equations since a time delay could cause a stable equilibrium to become unstable and cause the populations to fluctuate. In this survey, we shall review various delay differential equations models arising from studying single species dynamics.
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https://doi.org/10.1007/978-3-322-92326-4emic models with delay see van den Driessche [228]. More generally, an arbitrarily distributed sojourn time in a state, for example, the infective or immune state, is used by some authors (see [69] and the references therein).
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