961
个编辑
更改
跳到导航
跳到搜索
第208行：
第208行： − + − − center − − 中心 − − 第222行：
第216行： − + − − [[File:Lotka-Volterra model (1.1, 0.4, 0.4, 0.1).svg|alt=|thumb|400x400px|Population dynamics for baboons and cheetahs problem mentioned aside.]] − − Population dynamics for baboons and cheetahs problem mentioned aside. − − 除了狒狒和猎豹的族群动态问题。 − − [[File:Predator prey dynamics.svg|alt=|thumb|300x300px|Phase-space plot for the predator prey problem for various initial conditions of the predator population.]] − Phase-space plot for the predator prey problem for various initial conditions of the predator population.+ − 捕食者种群不同初始条件下捕食与被捕食问题的相空间情节。+
无编辑摘要
[[Image:Lotka Volterra dynamics.svg|center]]
[[文件:Lotka Volterra dynamics.svg|缩略图|居中|Linearized version]]
{{further|Limit cycle}}
{{further|Limit cycle}}
{{anchor|Atto-fox}}
{{anchor|Atto-fox}}
===A simple example===
=== A simple example 简单举例 ===
[[文件:Lotka-Volterra model (1.1, 0.4, 0.4, 0.1).svg|缩略图|右|前文提到关于狒狒和猎豹问题的种群动态。]]
[[文件:Predator prey dynamics.svg|缩略图|右|当捕食者种群在不同初始条件下，其捕猎问题的相空间图。]]
Suppose there are two species of animals, a baboon (prey) and a cheetah (predator). If the initial conditions are 10 baboons and 10 cheetahs, one can plot the progression of the two species over time; given the parameters that the growth and death rates of baboon are 1.1 and 0.4 while that of cheetahs are 0.1 and 0.4 respectively. The choice of time interval is arbitrary.
Suppose there are two species of animals, a baboon (prey) and a cheetah (predator). If the initial conditions are 10 baboons and 10 cheetahs, one can plot the progression of the two species over time; given the parameters that the growth and death rates of baboon are 1.1 and 0.4 while that of cheetahs are 0.1 and 0.4 respectively. The choice of time interval is arbitrary.