Periodic Oscillations in a Chemostat Model with Two Discrete Delays

Tiansi Zhang, Xuehui Ji and Bo Li

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-7

Abstract:

Periodic oscillations of solutions of a chemostat-type model in which a species feeds on a limiting nutrient are considered. The model incorporates two discrete delays representing the lag in nutrient recycling and nutrient conversion. Through the study of characteristic equation associated with the linearized system, a unique positive equilibrium is found and proved to be locally asymptotically stable under some conditions. Meanwhile, a Hopf bifurcation causing periodic solutions is also obtained. Numerical simulations illustrate the theoretical results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:306302

DOI: 10.1155/2015/306302

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