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Pattern Formation in Epidemic Model with Media Coverage.

Ronobir Chandra Sarker1, Saroj Kumar Sahani1

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Differential Equations and Dynamical Systems
|February 28, 2022
PubMed
Summary
This summary is machine-generated.

Media coverage significantly impacts disease spread patterns. Increased media attention alters spatial dynamics, similar to changes in the basic reproduction number, affecting disease patterns like spots and stripes.

Keywords:
BifurcationMedia coverageSI epidemic modelTuring pattern

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Area of Science:

  • Mathematical modeling of infectious diseases
  • Epidemiology
  • Spatial dynamics

Background:

  • Understanding disease spread is crucial for public health interventions.
  • Spatial patterns in population density can emerge from epidemic dynamics.
  • Media coverage is a potential factor influencing disease transmission.

Purpose of the Study:

  • To investigate the influence of media coverage on spatial epidemic models.
  • To analyze the resulting population density patterns and disease dynamics.
  • To explore how media coverage parameters affect disease spatial distribution.

Main Methods:

  • Development of a spatial epidemic model incorporating media coverage.
  • Mathematical analysis of the model's behavior.
  • Numerical simulations to visualize spatial patterns and dynamics.

Main Results:

  • Identified typical spatial patterns: hole, stripe, spot, and their coexistence.
  • Demonstrated that media coverage parameters significantly influence spatial disease patterns.
  • Observed sequential pattern changes with increasing media coverage, analogous to rising basic reproduction numbers.

Conclusions:

  • Media coverage is a critical factor shaping epidemic spatial dynamics.
  • The model provides insights applicable to various diseases, aiding in understanding media's role.
  • The study's framework can be extended to more complex epidemiological problems.