Impact of Ecological Factors on the Spread of Carrier Dependent Infectious Diseases: A Model

Abstract

In this paper, a four dimensional non-linear model is proposed and analyzed to study the impact of ecological factors on the spread of carrier dependent infectious diseases such as Cholera, Typhoid fever, TB, etc. caused by various types of carriers including house flies etc. It is assumed that the density of carrier population follows a general logistic model and its intrinsic growth rate and carrying capacity increase as the cumulative biomass density of ecological factors increases. It is further assumed that the cumulative density of ecological factors is also governed by a general logistic model, the growth rate of which increases bilinearly with the human population density. The proposed model is analyzed by
using the stability theory of differential equations and computer simulation. The analysis shows that as the cumulative density of ecological factors increases (decreases), the spread of carrier dependent infectious disease increases (decreases). The computer simulation of the proposed model confirms this analytical result.