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According to the Lotka-Volterra equations, the species with the higher K, or carrying capacity, that is, the resource's more effective user, should prevail in exploitative competition for resources in stable ecosystems.
What are Lotka-Volterra equations?
Alfred J. Lotka first introduced the Lotka-Volterra predator-prey model in the science of autocatalytic chemical reactions in 1910.
This was essentially the logistic equation, which Pierre François Verhulst first deduced
Using a plant species and a herbivorous animal species as an example, Lotka extended the model to "organic systems" in 1920 through Andrey Kolmogorov.
In 1925, he utilized the equations to analyze predator-prey interactions in his book on biomathematics.
The same set of equations were first published in 1926 by mathematician and physicist Vito Volterra, who had recently developed an interest in mathematical biology.
Umberto D'Ancona, a marine biologist who was courting Volterra's daughter at the time and would subsequently marry her, provided the impetus for Volterra's investigation. D'Ancona did research.
Hence, the Lotka-Volterra equations, the species with the higher K, or carrying capacity, that is, the resource's more effective user, should prevail in exploitative competition for resources in stable ecosystems.
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