Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting

Duan, Lian; Huang, Lihong; Chen, Yuming

doi:10.1090/proc12714

Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting
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by Lian Duan, Lihong Huang and Yuming Chen PDF

Proc. Amer. Math. Soc. 144 (2016), 561-573 Request permission

Abstract:

In this paper, we study a delay Lasota-Wazewska model with discontinuous harvesting, which is described by a periodic nonsmooth dynamical system. Based on a newly developed method, nonsmooth analysis, and the generalized Lyapunov method, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of positive periodic solutions, which not only cover but also complement some existing ones. These theoretical results are also supported with numerical simulations.

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