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Related Concept Videos

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Information is everywhere and its presentation—such as how and when items are presented—can impact our perceptions and decisions surrounding the info. This broad concept umbrellas framing effects—influences that occur due to the way information is framed in its appearance, whether it’s purely the order or the specific wording of a message. Let’s take a look at numerous ways in which two versions of something can objectively say the same thing, yet we respond in...
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A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
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The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Global dynamics for a Filippov system with media effects.

Cunjuan Dong1, Changcheng Xiang1, Wenjin Qin1

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Mathematical Biosciences and Engineering : MBE
|March 4, 2022
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Media coverage significantly impacts infectious disease spread by informing the public and altering behavior. A Filippov epidemic model shows that strategic media intervention can effectively control outbreaks and reduce disease burden.

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Area of Science:

  • Mathematical epidemiology
  • Public health communication
  • Dynamical systems theory

Background:

  • Media plays a crucial role in disseminating information during infectious disease outbreaks.
  • Public understanding of diseases influences behavior, impacting transmission dynamics.
  • Existing epidemic models often do not fully capture media's complex influence.

Purpose of the Study:

  • To develop a mathematical model (Filippov epidemic model) incorporating media's influence on infectious disease transmission.
  • To analyze the impact of media coverage, particularly when disease prevalence exceeds a certain threshold.
  • To investigate the stability and global dynamics of the proposed model.

Main Methods:

  • Formulation of a Filippov epidemic model with nonlinear incidence.
  • Analysis of equilibrium points and their stability.
  • Investigation of boundary equilibrium bifurcations and global dynamics.
  • Numerical simulations to validate theoretical findings.

Main Results:

  • The model demonstrates complex dynamical behaviors, stabilizing at equilibrium or pseudo-equilibrium points.
  • Media coverage, when implemented with appropriate thresholds and intensity, can prevent disease outbreaks.
  • Strategic media intervention effectively reduces the overall disease burden and outbreak duration.

Conclusions:

  • Media coverage is a vital tool for managing infectious disease epidemics.
  • The proposed Filippov model provides a framework for understanding and optimizing media's role in disease control.
  • Targeted media strategies can mitigate the impact of infectious disease outbreaks.