A Mathematical Analysis of the Stability of the Logistic Growth Model for Asian Elephant Population Ecology in India.

Abstract

The logistic growth model which describes the population of Asian elephants in India, is influenced by factors such as the birth rate, death rate, immigration, migration, and other external factors that play a vital role in the population model's stability. We intend to study the logistic population model's ability to return to equilibrium after experiencing disturbance or change. The model's stability enhances the prediction of the change in the population of Asian elephants in India and helps develop strategies to ensure ecosystem sustainability. We conducted a sensitivity study by varying the input parameter to see how perturbed the system is as well as to test stability and compare the model's predictions with real-world data.