Year: 2020
Author: Guofeng He, Jiabing Wang, Gang Huang
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 393–410
Abstract
In this paper, we derive and analyze a nonlocal and time-delayed reaction-diffusion epidemic model with vaccination strategy in a heterogeneous habitat. First, we study the well-posedness of the solutions and prove the existence of a global attractor for the model by applying some existing abstract results in dynamical systems theory. Then we show the global threshold dynamics which predicts whether the disease will die out or persist in terms of the basic reproduction number $\mathcal{R}_0$ defined by the spectral radius of the next generation operator. Finally, we present the influences of heterogeneous spatial infections, diffusion coefficients and vaccination rate on the spread of the disease by numerical simulations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.393
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 393–410
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Diffusive epidemic model Threshold dynamics Heterogeneous habitat Vaccination strategy.