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此词条Jie翻译。

此词条Jie翻译。

{{About|the predator-prey equations|the competition equations|Competitive Lotka–Volterra equations}}

{{About|the predator-prey equations|the competition equations|Competitive Lotka–Volterra equations}}

{{short description|Pair of equations modelling predator-prey cycles in biology}}

{{short description|Pair of equations modelling predator-prey cycles in biology}}

[[文件:Milliers fourrures vendues en environ 90 ans odum 1953 en.jpg|缩略图|右|卖给哈德逊湾公司的雪鞋野兔毛皮（后方黄色区域）和加拿大山猫毛皮（前方黑色线条）。注意：加拿大山猫吃雪兔。]]

[[文件:Milliers fourrures vendues en environ 90 ans odum 1953 en.jpg|缩略图|右|卖给哈德逊湾公司的雪鞋野兔毛皮（后方黄色区域）和加拿大山猫毛皮（前方黑色线条）。注：加拿大山猫会以雪兔为食。]]

The '''Lotka–Volterra equations''', also known as the '''predator–prey equations''', are a pair of first-order [[nonlinear]] [[differential equation]]s, frequently used to describe the [[dynamical system|dynamics]] of [[Systems biology|biological systems]] in which two species interact, one as a [[predator]] and the other as prey. The populations change through time according to the pair of equations:

The '''Lotka–Volterra equations''', also known as the '''predator–prey equations''', are a pair of first-order [[nonlinear]] [[differential equation]]s, frequently used to describe the [[dynamical system|dynamics]] of [[Systems biology|biological systems]] in which two species interact, one as a [[predator]] and the other as prey. The populations change through time according to the pair of equations: