“predator–prey equations”的概念、定义、翻译、参考文献-科学参考

predator–prey equations

Mathematics

单词	predator–prey equations
释义	predator–prey equations Mathematics To model the behaviour in a predator–prey situation, the normal dependencies on birth and death rates for each population are modified by terms reflecting the species’ interdependency: since the rate of encounter between predator and prey is approximately proportional to the product of the population sizes, this would give rise to linked differential equations of the form $\frac{d X}{d t} = (b_{X} - d_{X}) X - k X Y,$ $\frac{d X}{d t} = (b_{Y} - d_{Y}) Y + l X Y,$ These equations are also known as the Lotka–Volterra equations after Alfred Lotka and Vito Volterra who independently introduced them. There is an unstable equilibrium at X = Y = 0 and a single stable equilibrium at non-zero X and Y. http://home.messiah.edu/~deroos/CSC171/PredPrey/PPIntro.htm Simulations of fox and rabbit populations.
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