Mathematical modeling west nile virus
Sponsored Links
This presentation is the property of its rightful owner.
1 / 11

Mathematical Modeling: West Nile Virus PowerPoint PPT Presentation


  • 146 Views
  • Uploaded on
  • Presentation posted in: General

Mathematical Modeling: West Nile Virus. Richard Allen and Paula Avery Glorieta, 2002. Computational Science?. Computational science seeks to gain an understanding of science through the use of mathematical models on HP computers. Computational Science involves teamwork. Experiment.

Download Presentation

Mathematical Modeling: West Nile Virus

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Mathematical Modeling:West Nile Virus

Richard Allen and Paula Avery

Glorieta, 2002


Computational Science?

Computational science seeks to gain an understanding of science through the use of mathematical models on HP computers.

Computational Science involves teamwork


Experiment

Theory

Computation

Computational Science

Complements, but does not replace, theory and experimentation in scientific research.


Computational Science

  • Is often used in place of experiments when experiments are too large, too expensive, too dangerous, or too time consuming.

  • Can be useful in “what if” studies; e.g. to investigate the use of pathogens (viruses, bacteria, fungi) to control an insect population.

  • Is a modern tool for scientific investigation.


Computational Science Process


Mathematical Model

A mathematical formulation of some process in order to better understand it and to predict its future behavior.

  • The success of a mathematical model depends on its ease of use and its accuracy of prediction.

  • There are three simple rules for creating a model. Unfortunately, nobody knows what they are*.

You can’t “cook book” useful models


Examples

  • Newton’s second law of motion: F = m*a

  • Radioactive decay: N(t) = N(0)*e-k*t

  • Compound interest: P(t) = P(0)(1 + r/n)nt

  • Bungee cord: m*g*(L + d) = k*d2/2

  • Golf ball trajectory: x(t) = (v0*cos )*t; y(t) = (v0*sin )*t - 0.5*g*t2

  • Population growth: Pn = Po + r*Po*(1 – Po/K)


Background: West Nile Virus Infection Cycle


Background: West Nile Virus (Culex Tarsila Mosquito)


Background: West Nile Virus (Culex Tarsila Mosquito)


Background: NM County VBI Values


  • Login