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The Lotka–Volterra equations, also known as the predator–prey equations, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of 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 equations, frequently used to describe the dynamics of 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:
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'''<font color="#ff8000"> Lotka–Volterra方程式</font>'''(又称为'''捕食者-猎物方程''',以下简称为'''捕猎方程''')是一对一阶非线性常微分方程组,我们经常用它来描述两个物种间因捕食和被捕食关系而形成的动力学系统,这样的系统可称为'''捕猎系统'''。该方程组反映了此二者物种的种群数量会随时间变化并遵循如下规律:
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'''<font color="#ff8000"> Lotka–Volterra方程式</font>'''(又称为'''捕食者-猎物方程''',以下简称为'''捕猎方程''')是一对一阶非线性微分方程组,我们经常用它来描述两个物种间因捕食和被捕食关系而形成的动力学系统,这样的系统可称为'''捕猎系统'''。该方程组反映了此二者物种的种群数量会随时间变化并遵循如下规律:
     
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