Competing species model with behavioral adaptation.
This paper studies the properties of a modified Lotka-Volterra model for two competing species, in which the coefficients of the interaction terms are time-dependent averages of the level of interaction over the entire past. For this model, it is shown that competitive exclusion does not occur, there are two possible stable equilibrium points, and in a certain region of parameter space numerical simulations suggest the existence of interesting oscillatory solutions.
D000223:Adaptation, Psychological; D000818:Animals; D003163:Competitive Behavior; D008433:Mathematics; D008960:Models, Psychological; D011156:Population Density