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Two Species System n y ’ = rn y - an y n d –r = independent prey population increase rate –a = effect of predator on prey population n d ’ = bn y n d -

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Presentation on theme: "Two Species System n y ’ = rn y - an y n d –r = independent prey population increase rate –a = effect of predator on prey population n d ’ = bn y n d -"— Presentation transcript:

1 Two Species System n y ’ = rn y - an y n d –r = independent prey population increase rate –a = effect of predator on prey population n d ’ = bn y n d - dn d –d = predator population mortality rate –b = effect of prey on predator population

2 Two Species System

3 Three Species System n’ i = c i +  i -1  i=1 j a ij n i n j c i = independent population growth (species i) a ij = effect of interaction (between i and j) on population i  i = Lotka-Volterra “equivalence” numbers

4 Three Species System

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