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Lyapunov functional for virus infection model with diffusion and state-dependent delays

  • Received: 17 November 2018 Accepted: 20 December 2018 Published: 30 January 2019
  • In this paper, a virus dynamics model with di usion, state-dependent delays and a general nonlinear functional response is investigated. At first, the dynamical system is constructed on a nonlinear metric space. Then the stability of the interior equilibrium is established by using a novel Lyapunov functional. Further, the proposed algorithm has been extended to the model with logistic growth rate.

    Citation: Jitai Liang, Junjie Wei. Lyapunov functional for virus infection model with diffusion and state-dependent delays[J]. Mathematical Biosciences and Engineering, 2019, 16(2): 947-966. doi: 10.3934/mbe.2019044

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  • In this paper, a virus dynamics model with di usion, state-dependent delays and a general nonlinear functional response is investigated. At first, the dynamical system is constructed on a nonlinear metric space. Then the stability of the interior equilibrium is established by using a novel Lyapunov functional. Further, the proposed algorithm has been extended to the model with logistic growth rate.


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