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Systems of nonlinear delay integral equations modelling population growth in a periodic environment

Antonio CañadaAbderrahim Zertiti — 1994

Commentationes Mathematicae Universitatis Carolinae

In this paper we study the existence and uniqueness of positive and periodic solutions of nonlinear delay integral systems of the type x ( t ) = t - τ 1 t f ( s , x ( s ) , y ( s ) ) d s y ( t ) = t - τ 2 t g ( s , x ( s ) , y ( s ) ) d s which model population growth in a periodic environment when there is an interaction between two species. For the proofs, we develop an adequate method of sub-supersolutions which provides, in some cases, an iterative scheme converging to the solution.

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