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Lotka Volterra EQUATIONS - The Mathematics of ECOSYSTEMS

In this video I explain the Lotka–Volterra equations, the classic mathematical model used to describe predator–prey dynamics in nature. We explore how the populations of predators and prey interact over time, why their numbers oscillate, and how these differential equations model real ecological systems.

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#maths #stem #pi #equations #model
00:00 Intro
01:04 How to describe the dynamics
02:10 Lotka Volterra equations
03:05 How to solve the equations
04:05 Oscillatory behavior
05:07 Equilibrium points
06:12 Assumptions of the model
07:19 The model with fishing
Music:
• Reasons - Anno Domini Beats
• The Beauty of Maths by Meydän | https://linktr.ee/meydan
Music promoted by https://www.chosic.com/free-music/all/
Creative Commons CC BY 4.0
https://creativecommons.org/licenses/by/4.0/
The voice is generate by AI.
The animations have been made using Manim.

Видео Lotka Volterra EQUATIONS - The Mathematics of ECOSYSTEMS канала behindmath
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