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来源类型Article
规范类型其他
DOI10.1007/BF00573458
Small perturbations in nonlinear age-structured population equations.
Boulanger EN
发表日期1994
出处Journal of Mathematical Biology 32 (6): 521-533
出版年1994
语种英语
摘要A non-linear age-structured population dynamic model described by partial integro-differential equations is considered, where the non-linear term reflects the interaction among individuals. This non-linear model is interpreted as a perturbed linear one. An approximation method based on the ideas of averaging, of a slow time transformation and a power series expansion is suggested. The asymptotic properties of the approximate solution are analyzed. It is shown that the approximate solution remains close to the true solution as t → ∞.
主题System and Decision Sciences - Core (SDS)
关键词Averaging Nonlinear partial integro-differential equation Population age structure Small perturbations
URLhttp://pure.iiasa.ac.at/id/eprint/12837/
来源智库International Institute for Applied Systems Analysis (Austria)
引用统计
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/127197
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GB/T 7714
Boulanger EN. Small perturbations in nonlinear age-structured population equations.. 1994.
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