:{{math|''α'', ''β'', ''γ'', ''δ''}} are positive real [[parameter]]s describing the interaction of the two [[species]].
:{{math|''α'', ''β'', ''γ'', ''δ''}} are positive real [[parameter]]s describing the interaction of the two [[species]].
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where
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where,
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x is the number of prey (for example, rabbits);
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:x is the number of prey (for example, rabbits);
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y is the number of some predator (for example, foxes);
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:y is the number of some predator (for example, foxes);
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{\displaystyle {\tfrac {dy}{dt}}}{\tfrac {dy}{dt}} and {\displaystyle {\tfrac {dx}{dt}}}{\tfrac {dx}{dt}} represent the instantaneous growth rates of the two populations;
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:{\displaystyle {\tfrac {dy}{dt}}}{\tfrac {dy}{dt}} and {\displaystyle {\tfrac {dx}{dt}}}{\tfrac {dx}{dt}} represent the instantaneous growth rates of the two populations;
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t represents time;
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:t represents time;
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α, β, γ, δ are positive real parameters describing the interaction of the two species.
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:, β, γ, δ are positive real parameters describing the interaction of the two species.