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THE EFFECT OF SPATIAL VARIABLES ON THE BASIC REPRODUCTION RATIO FOR A REACTION-DIFFUSION EPIDEMIC MODEL

Discrete and Continuous Dynamical Systems - Series B, ISSN: 1531-3492, Vol: 27, Issue: 6, Page: 3005-3017
2022
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  • 0
    Usage
  • 1
    Captures
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    Mentions
  • 126
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    1
  • Captures
    1
  • Social Media
    126
    • Shares, Likes & Comments
      126
      • Facebook
        126

Article Description

In this paper, we study the influence of spatial-dependent variables on the basic reproduction ratio (R0) for a scalar reaction-diffusion equation model. We first investigate the principal eigenvalue of a weighted eigenvalue problem and show the influence of spatial variables. We then apply these results to study the effect of spatial heterogeneity and dimension on the basic reproduction ratio for a spatial model of rabies. Numerical simulations also reveal the complicated effects of the spatial variables on R0 in two dimensions.

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