In this video I go over part 2 of the example which I covered in my last video on modifying the Lotka-Volterra equations for predator-prey systems by using a logistic model growth rate for the prey population. In that part I went over the equilibrium solutions, and in this part I take a look at a phase trajectory of the predator-prey, or wolf-rabbit, populations. I also sketch the possible graph of the populations of each species through time, which shows how the populations fluctuate until they stabilize at a specific level. This is a very interesting video on modeling populations of predator-prey type animals so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIht148ZIXopQ597LynQ
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/predator-prey-systems-example-2-part-2
Related Videos:
Predator-Prey Systems: Example 2: Part 1:
Predator-Prey Systems: Example 1: Part 2:
Predator-Prey Systems: Example 1: Part 1:
Differential Equations: Predator-Prey Systems:
Linear Differential Equations:
Differential Equations: Exponential Growth and Decay:
Differential Equations: Separable Equations:
Differential Equations: Population Growth: Logistic Equation: .
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 graph the solutions by first using the resulting phase trajectory ;)
View Video Notes: https://steemit.com/mathematics/@mes/predator-prey-systems-example-2-part-2