| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1137/S0036139902411612 |
| Bifurcation analysis of a prey-predator coevolution model. | |
| Dercole F; Irisson J-O; Rinaldi S | |
| 发表日期 | 2003 |
| 出处 | SIAM Journal of Applied Mathematics 63 (4): 1378-1391 |
| 出版年 | 2003 |
| 语种 | 英语 |
| 摘要 | We show in this paper how numerical bifurcation analysis can be used to study the evolution of genetically transmitted phenotypic traits. For this, we consider the standard Rosenzweig-MacArthur prey-predator model and, following the so-called Adaptive Dynamics approach, we derive from it a second-order evolutionary model composed of two ODEs, one for the prey trait and one for the predator trait. Then, we perform a detailed bifurcation analysis of the evolutionary model with respect to various environmental and demographic parameters. Surprisingly, the evolutionary dynamics turn out to be much richer than the population dynamics. Up to three evolutionary attractors can be present and the bifurcation diagrams contain numerous global bifurcations and codimension-2 bifurcation points. Interesting biological properties can be extracted from these bifurcation diagrams. In particular, one can conclude that evolution of the traits can be cyclic and easily promote prey species diversity. |
| 主题 | Adaptive Dynamics Network (ADN) |
| 关键词 | bifurcation analysis, coevolution, evolution, evolutionary dynamics, Lotka--Volterra model, monomorphism, prey-predator model |
| URL | http://pure.iiasa.ac.at/id/eprint/6893/ |
| 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/128280 |
| 推荐引用方式 GB/T 7714 | Dercole F,Irisson J-O,Rinaldi S. Bifurcation analysis of a prey-predator coevolution model.. 2003. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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