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Dynamical behaviors of a trimolecular response model with impulsive input

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Abstract

In the paper, we consider a trimolecular response model with impulsive input. Sufficient conditions for globally stable positive equilibrium point of the trimolecular response model with constant input are obtained. By impulsive differential theory, we obtain conditions for permanence of the trimolecular response model with impulsive input. By numerical analysis, we demonstrate complex phenomena such as limit cycles, periodic solutions, and chaos.

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Authors and Affiliations

  1. School of Mathematical Science, Dalian University of Technology, Dalian, 116024, P.R. China

    Zuxiong Li & Lansun Chen

  2. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, P.R. China

    Zuxiong Li

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  1. Zuxiong Li
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  2. Lansun Chen
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Correspondence to Zuxiong Li.

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Li, Z., Chen, L. Dynamical behaviors of a trimolecular response model with impulsive input. Nonlinear Dyn 62, 167–176 (2010). https://doi.org/10.1007/s11071-010-9707-5

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  • DOI: https://doi.org/10.1007/s11071-010-9707-5

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