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Mathematical model of population prediction
First Order Ordinary Differential Equation Model —— Population Model and Prediction

The following table lists the demographic data of China from 1982- 1998, with 1982 as the starting year (), with millions of people.

Year19821983198419851986198719881990.

Human population

(ten thousand)10165410300810435710585107507109300/kloc-0.

Year199119921994199519961997 65438.

Human population

(ten thousand)11582317185175171/kloc-0.

Requirements: (1) Establish an exponential growth model of China population, and use this model to forecast and compare the actual population data.

(2) Establish a Logistic model of China population, and use this model to forecast and compare the actual population data.

(3) Mark the actual statistical data of China population with MATLAB, and draw the prediction curves of the two models.

(4) Drawing the error contrast diagram of the two forecasting models with MATLAB graphics, and marking their errors respectively.

The MATLAB library function of the first-order initial value problem of ordinary differential equations is ode45.

The syntax is: [t, Y] =ode45(odefun, tspan, y0).