Logistic Growth Model With Immigration Effect

Abstract

The paper studied a logistic growth model with immigration effect. The material was characterized by the modified logistic growth equation. The simplified population models usually start with four key variables including Death, Birth, Immigration and Emigration. It is understood that birth rates and carrying capacity of the population are affected by the presence of immigrants. In each special case, equilibrium points are used to compute birthrate and carrying capacity. The criteria of stability (stable, unstable and neutrally stable) with small perturbations around and all trajectories (Population vs Time) are established.