In this video I go over another example on predator-prey systems for population growth of two species, but this time modify the Lotka-Volterra equations to instead model two species that compete or cooperate in obtaining resources. Two different sets of differential equations are presented, and in this example I show the steps involved in determining what kind of model each set is describing. This is done by seeing how the population growth of one species is affected by the increases or decrease of the population of the other species. If it's a mutual increase in population growth whenever either population increases, then this represents a cooperation model, such as a bees or insects pollinating flowers. On the other hand, if the populations of either species decreases with the increase of the other species, then this represents a model that shows two species fighting for the same species, such as a pair of plant-eating animals. This is a very good video to show how to read and understand systems of differential equations and how they can be used to model various real world phenomenon.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIht4Lx_Db7-g03Axxpg
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/predator-prey-systems-example-3
Related Videos:
Predator-Prey Systems: Example 2: Part 2:
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 predator-prey systems but when I do they are actually cooperation and competing for resources models ;)
View Video Notes: https://steemit.com/mathematics/@mes/predator-prey-systems-example-3
Very interesting...
Good info my friend @mes. Sorry I haven't visited you recently haha. Greetings colleague ;)
Neat topic. Deep coverage.
Enjoy the imagery, esp cat vs rabbit.
Well played.