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Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays. (English) Zbl 1104.34050
The authors study an $$n\times n$$ nonquadratic periodic prey-competition ODE model with delays in which the $$m$$ preys are competitors and the $$n-m$$ predators are competitors, respectively. The variable coefficients in the model are assumed to be continuous periodic functions on $$[0,+\infty)$$ with a common period. This model is more general and more complicated than the traditional Lotka-Volterra system and some recent nonquadratic prey-competition models. The authors provide sufficient conditions for the existence of a unique globally attractive positive periodic solution and a few examples of applications of the model in population dynamics.

##### MSC:
 34K13 Periodic solutions to functional-differential equations 92D25 Population dynamics (general) 34K20 Stability theory of functional-differential equations
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##### References:
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