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The equations have periodic solutions and do not have a simple expression in terms of the usual trigonometric functions, although they are quite tractable.
 
The equations have periodic solutions and do not have a simple expression in terms of the usual trigonometric functions, although they are quite tractable.
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这些方程式具有周期解,但通常对于三角函数而言,虽然很容易处理,却并没有简单的表达式。
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这些方程式具有周期解,然而一般地,对于三角函数而言,虽然很容易处理,但是并没有简单的表达式。
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α = 2/3, β = 4/3, γ = 1 = δ. Assume x, y quantify thousands each. Circles represent prey and predator initial conditions from x = y = 0.9 to 1.8, in steps of 0.1. The fixed point is at (1, 1/2).
 
α = 2/3, β = 4/3, γ = 1 = δ. Assume x, y quantify thousands each. Circles represent prey and predator initial conditions from x = y = 0.9 to 1.8, in steps of 0.1. The fixed point is at (1, 1/2).
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一个不太极端的示例包括:
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一个不太极端的例子是:
 
{{mvar|α}} = 2/3, {{mvar|β}} = 4/3, {{mvar|γ}} = 1 = {{mvar|δ}}. 假设{{math|''x'', ''y''}}处于“千”级别还不到“万“。圆圈代表从{{mvar|x}} = {{mvar|y}} = 0.9 到 1.8时猎物和捕食者的初始条件,步长为0.1,且固定点在(1,1/2)。
 
{{mvar|α}} = 2/3, {{mvar|β}} = 4/3, {{mvar|γ}} = 1 = {{mvar|δ}}. 假设{{math|''x'', ''y''}}处于“千”级别还不到“万“。圆圈代表从{{mvar|x}} = {{mvar|y}} = 0.9 到 1.8时猎物和捕食者的初始条件,步长为0.1,且固定点在(1,1/2)。
  
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