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Periodic solutions of a discrete-time diffusive system governed by backward difference equations. (English) Zbl 1128.39300

Summary: A discrete-time delayed diffusion model governed by backward difference equations is investigated. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions.

MSC:

39A11 Stability of difference equations (MSC2000)
34K13 Periodic solutions to functional-differential equations
92D25 Population dynamics (general)
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