The Logistic Differential Equation for Population Growth: General Solution

Автор: MasterWuMathematics

Загружено: 2019-01-07

Просмотров: 8420

Описание: In this video, we work through the process for deriving the analytical solution to the Logistic Equation formulated by Verhulst for modelling population growth.

We first compare the natural (exponential) and logistic models and their formulas.

The logistic equation is given by:

dP/dt = rP [1 - K/P]

This is a separable differential equation with which we can separate the variables and solve by integration.

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

I would really appreciate any small donation which will help me to help more math students of the world. Please donate here: https://paypal.me/MasterWu

Follow me on Twitter! twitter.com/MasterWuMath

Не удается загрузить Youtube-плеер. Проверьте блокировку Youtube в вашей сети.
Повторяем попытку...

The Logistic Differential Equation for Population Growth: General Solution

Доступные форматы для скачивания:

Скачать видео

Информация по загрузке:

Скачать аудио

Похожие видео

Modelling Population Growth with the Logistic Model: IVP

Modelling Population Growth with the Logistic Model: IVP

integral of (1)/((x)sqrt(x^2 -1))dx

integral of (1)/((x)sqrt(x^2 -1))dx

rate of growth of population or bacteria - application of differential equation

rate of growth of population or bacteria - application of differential equation

Introduction to Population Models and Logistic Equation (Differential Equations 31)

Introduction to Population Models and Logistic Equation (Differential Equations 31)

Exponential Growth and Decay Calculus, Relative Growth Rate, Differential Equations, Word Problems

Exponential Growth and Decay Calculus, Relative Growth Rate, Differential Equations, Word Problems

Predator-Prey Population Models || Lotka-Volterra Equations

Predator-Prey Population Models || Lotka-Volterra Equations

The Logistic Growth Differential Equation

The Logistic Growth Differential Equation

Modelling Free fall with Air Resistance - First Order Differential Equations

Modelling Free fall with Air Resistance - First Order Differential Equations

The Logistic Equation

The Logistic Equation

The Logistic Curve

The Logistic Curve

This is why you're learning differential equations

This is why you're learning differential equations

Logistic Differential Equation (general solution)

Logistic Differential Equation (general solution)

Это уравнение изменит ваш взгляд на мир

Это уравнение изменит ваш взгляд на мир

Logistic Growth Function and Differential Equations

Logistic Growth Function and Differential Equations

Если долго доставать венгров… Ответка

Если долго доставать венгров… Ответка

The Calculus of Drug Dosing

The Calculus of Drug Dosing

Дифференциальное уравнение предельной скорости | Лекция 8 | Дифференциальные уравнения для инженеров

Дифференциальное уравнение предельной скорости | Лекция 8 | Дифференциальные уравнения для инженеров

Modelling Population Growth: The Logistic Equation - Differential Equations

Modelling Population Growth: The Logistic Equation - Differential Equations

Арестович: Война в Иране. Мы прошли точку невозврата? #украина #арестович #россия

Арестович: Война в Иране. Мы прошли точку невозврата? #украина #арестович #россия

The Logistic Equation and the Analytic Solution

The Logistic Equation and the Analytic Solution