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Competitive Lotka–Volterra equations
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===Background=== There are many situations where the strength of species' interactions depends on the physical distance of separation. Imagine bee colonies in a field. They will compete for food strongly with the colonies located near to them, weakly with further colonies, and not at all with colonies that are far away. This doesn't mean, however, that those far colonies can be ignored. There is a [[Transitive relation|transitive]] effect that permeates through the system. If colony ''A'' interacts with colony ''B'', and ''B'' with ''C'', then ''C'' affects ''A'' through ''B''. Therefore, if the competitive Lotka–Volterra equations are to be used for modeling such a system, they must incorporate this spatial structure.
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