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A topological methods for Existence and multiplicity of positive solutions for some systems of nonlinear delay integral equations

Abdellatif Sadrati, Abderrahim Zertiti

Abstract


In this paper, we study some nonlinear delay integral systems which arising in an epidemic problem. In fact, we are going to use topological method for study an epidemic model combining with population ecology. We establish new existence and multiplicity of coexistence states theorems about positive and periodic solutions for delay integral systems. The so colled "coexistence states" means solutions (x; y) with both components nonnegative and nontrivial.

Keywords


Nonlinear delay integral systems, Topological method, positive periodic solutions

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