| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/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 |
| URL | http://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 |
| 推荐引用方式 GB/T 7714 | Boulanger EN. Small perturbations in nonlinear age-structured population equations.. 1994. |
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