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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.
If you want to see more elegant mathematical ideas explained step by step, subscribe to Behind Math and be part of the community.
#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
If you want to see more elegant mathematical ideas explained step by step, subscribe to Behind Math and be part of the community.
#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
lotka volterra equation lotka volterra model predator prey model predator prey dynamics lotka volterra explained lotka volterra differential equations mathematical biology population dynamics ecology math model dynamical systems ecology nonlinear differential equations lotka volterra tutorial ecology modeling applied mathematics biology differential equations biology differential equations the mathematics of ecosystems behind math francesco di leo
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16 марта 2026 г. 16:01:48
00:08:24
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