SIR Model: Disease Spread

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Questions and Answers

Which academic strand existed before the track reduction but does not exist after the track reduction?

  • ABM
  • GAS (correct)
  • STEM
  • HUMSS

Which of the following tracks or strands were merged into the Technical Professional (TechPro) track?

  • Technical-Vocational-Livelihood (correct)
  • Academic
  • Arts and Design
  • Sports

Which of the following Academic strands were added with the reduction of tracks?

  • STEM
  • Sports (correct)
  • ABM
  • HUMSS

What is the total reduction in the number of tracks after the change?

<p>2 (A)</p> Signup and view all the answers

Which of the following tracks remained an independent track after the reduction?

<p>Academic (D)</p> Signup and view all the answers

Which previously separate track is now integrated as a strand within the Academic track?

<p>Sports (D)</p> Signup and view all the answers

After the track reduction, what are the two remaining tracks?

<p>Academic and Technical Professional (TechPro) (D)</p> Signup and view all the answers

Which of the following strands are available under the Academic track after the reduction?

<p>ABM, HUMSS, STEM, Arts and Design, Sports (D)</p> Signup and view all the answers

What is the primary change in the Tech-Voc-Livelihood track after the reduction?

<p>It was renamed to Technical Professional (TechPro) (C)</p> Signup and view all the answers

Which of the following describes a key difference in the structure of the Academic track before and after the reduction?

<p>It now includes strands previously in separate tracks (D)</p> Signup and view all the answers

If a student is interested in pursuing Arts and Design, under which track can they now find this strand?

<p>Academic (D)</p> Signup and view all the answers

What pathway is most suited for a student who is interested in technical and vocational courses after the track reduction?

<p>Technical Professional (TechPro) (B)</p> Signup and view all the answers

Before the track reduction, a student interested in sports would have chosen the 'Sports' track. After the reduction, which would they choose?

<p>Academic (C)</p> Signup and view all the answers

Which track's name explicitly includes 'Professional' after the track reduction?

<p>Technical Professional (TechPro) (A)</p> Signup and view all the answers

How does the track reduction potentially affect specialization options for students interested in academic studies?

<p>Broader range of specialization options, including arts and sports (A)</p> Signup and view all the answers

What is a key intended benefit of reducing the number of tracks?

<p>To create a more focused and streamlined educational system (D)</p> Signup and view all the answers

Which consideration is most important for students when selecting a track after the reduction?

<p>Matching their aptitudes and interests to available tracks and strands (B)</p> Signup and view all the answers

What might be a potential challenge in implementing the track reduction?

<p>Ensuring adequate resources &amp; expertise are available for all strands in fewer tracks (C)</p> Signup and view all the answers

Considering the merging of Sports into the Academic track, how might this affect students primarily focused on academics?

<p>It might encourage more physically active lifestyles. (C)</p> Signup and view all the answers

After reviewing the changes, why might DepEd implement a track reduction like this?

<p>Reduce operational and administrative overhead. (C)</p> Signup and view all the answers

Flashcards

Academic Track Strands

One of the tracks available in the academic field includes ABM (Accountancy, Business, and Management), HUMSS (Humanities and Social Sciences), and STEM (Science, Technology, Engineering, and Mathematics).

Technical-Vocational-Livelihood Track

This track focuses on developing practical skills and knowledge for specific trades and industries.

Sports Track

This track provides specialized training in various sports disciplines, focusing on athletic skills, physical fitness, and sports management.

Arts and Design Track

This track is designed for students inclined toward creative expressions, visual and performing arts, and design-related fields.

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Track Reduction

Reduction of senior high school tracks from 4 to 2.

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Academic Track Strands (Revised)

The academic track includes strands such as ABM, HUMSS, STEM, Arts and Design, and Sports.

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Technical Professional (TechPro) Track

Focuses on technical and vocational skills, replaced the Technical-Vocational-Livelihood track. Provides training for specific trades and industries.

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Study Notes

  • The lab focuses on modeling the spread of disease, exploring stochasticity, intervention strategies, and spatial structure.

Basic Idea

  • Individuals are modeled as belonging to one of three states.
  • S: Susceptible – healthy individuals who can contract the disease.
  • I: Infected – individuals who have the disease and can transmit it.
  • R: Recovered – individuals who have recovered from the disease and are now immune.

Model Assumptions

  • Closed population, meaning no births or deaths are considered.
  • Homogeneous mixing, implying uniform interaction among individuals.
  • Fixed length of infection.
  • Immunity is conferred after recovery.

Model Equations

  • The transitions between states are modeled using ordinary differential equations (ODEs).
  • dS/dt = -βSI: represents the rate of change of susceptible individuals.
  • dI/dt = βSI - γI: represents the rate of change of infected individuals.
  • dR/dt = γI: represents the rate of change of recovered individuals.
  • β is the transmission rate.
  • γ is the recovery rate.

Part 1: Deterministic Model Task

  • Task 1: Implement the model by writing a function to solve the system of ODEs.
    • The function requires initial conditions S₀, I₀, and R₀.
    • It also requires parameters β and γ.
    • A time vector t specifies when to report the solution.
    • The function should return S(t), I(t), and R(t).
  • Task 2: Explore the model by varying the values of β and γ.
    • Analyze how the fraction of the population that eventually gets infected depends on the parameters.
  • Task 3: Compute R₀, the basic reproduction number, as a function of β and γ.
    • R₀ is the average number of new infections caused by a single infected individual in a completely susceptible population.
    • Determine how the model's behavior is impacted by whether R₀ > 1 or R₀ < 1.

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