Considerate 发表于 2025-3-21 17:03:07
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NORMAL FORMS AND BIFURCATIONS FOR DELAY DIFFERENTIAL EQUATIONS, called a ., which has the same qualitative behaviour of the original equation. In the framework of ordinary differential equations (ODEs), this idea is very old, going back to the late XIX century with the works of Poincaré on Celestial Mechanics, and early XX century with the works of Liapunov an愤慨一下 发表于 2025-3-22 07:10:35
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DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS times, reaction times, etc. by many researchers. We refer to the monographs of Cushing (1977a), Gopalsamy (1992), Kuang (1993) and MacDonald (1978) for discussions of general delayed biological systems. In general, delay differential equations exhibit much more complicated dynamics than ordinary diDNR215 发表于 2025-3-22 19:39:21
TIME DELAYS IN EPIDEMIC MODELSs in various disease states, with the sojourn time in a state being exponentially distributed. Time delays are introduced to model constant sojourn times in a state, for example, the infective or immune state. Models then become delay-differential and/or integral equations. For a review of some epid少量 发表于 2025-3-23 00:53:03
https://doi.org/10.1007/978-3-642-80490-8this assumption is that the future behavior is uniquely determined by the present and independent of the past. In differential difference equations, or more generally functional differential equations, the past exerts its influence in a significant manner upon the future. Many models are better reprExpostulate 发表于 2025-3-23 01:50:43
https://doi.org/10.1007/978-3-642-80490-8is. In the context of finite-dimensional ordinary differential equations (ODEs), this theory can be traced back to the work done a hundred years ago by Poincaré . The basic idea of normal form consists of employing successive, near-identity, nonlinear transformations, which leads us to a differeCursory 发表于 2025-3-23 08:48:24
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