In this video I go over an example on the Lotka-Volterra predator-prey equations to see how to solutions are graphically estimated. This example involves graphing solutions on a direction field based on the Predator-Prey plane, as opposed to the typical function and time axes. I go over parts a), b), and c) of this example, and I will go over the rest of the example in my next video on Part 2, so stay tuned for that! This is a great example to see how differential equations can be used to model two different species populations and how to interpret the resulting solutions.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIht0mB0v6c2t3Hr5OFQ
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/predator-prey-systems-example-1-part-1
Related Videos:
Differential Equations: Predator-Prey Systems:
Linear Differential Equations:
Differential Equations: Exponential Growth and Decay:
Differential Equations: Separable Equations:
Power Functions and their Properties Part 1 - A Simple Explanation:
Differential Equations: Electric Circuit: Introduction:
Differential Equations: Separable Equations: Example 4:
Derivative Rules: Proof of Chain Rule: .
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
Google Plus: https://mes.fm/gplus
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: [email protected]
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ DTube
▶️ IPFS
I don't always model the populations of wolves and rabbits but when I do I usually use a direction field to plot solutions out ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/predator-prey-systems-example-1-part-1