Recognizing that at every instant the rate of increase of each species in the system being studied depends on the quantity of that species and of every other species present, as well as the parameters P and Q, we have already noted that the analytical expression of this very general proposition takes the form:
$$\left. {\begin{array}{*{20}{c}} {\frac{{d{X_1}}}{{dt}} = {F_1}({X_1},{X_2},...,{X_n};PQ)}\\ {\frac{{d{X_2}}}{{dt}} = {F_2}({X_1},{X_2},...,{X_n};PQ)}\\ {\frac{{d{X_3}}}{{dt}} = {F_i}({X_1},{X_2},...,{X_n};PQ)}\\ {\frac{{d{X_n}}}{{dt}} = {F_n}({X_1},{X_2},...,{X_n};PQ)} \end{array}} \right\}$$


Prey Species Integral Curve Predator Species Mutual Dependence Integral Curf 
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© Springer Science+Business Media New York 1998

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  • Alfred J. Lotka

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