Logistic Growth Model (C with Cairo)

This repository contains a C implementation of the logistic growth model, a fundamental concept in population dynamics. The program generates a logistic growth curve and saves it as an image using the Cairo graphics library.

Description

The logistic growth equation is given by:

$$ \ \frac{dP}{dt} = kP (M - P)
$$

where:

• ( P ) is the population size,
• ( k ) is the growth rate,
• ( M ) is the carrying capacity,
• ( t ) is time.

This C program uses Cairo to visualize the population growth over time and saves the output as a PNG file.

Prerequisites

Ensure you have GCC and Cairo installed.

For Ubuntu Users

Install Cairo with:

sudo apt install libcairo2-dev

Installation

Clone the repository:

git clone https://github.com/KennethTebogo/logistic-growth-c.git
cd logistic-growth-c

Compilation & Execution

1. Compile the C Program

gcc LogisticGrowth.c -o LogisticGrowth -lm -lcairo

2. Run the Program

./LogisticGrowth

Output

The program generates a logistic growth curve and saves it as:

logistic_growth.png

This file will be located in the same directory as the program.

License

This project is licensed under the MIT License.