• STABILITY ANALYSIS OF MUTUALISTIC INTERACTIONS AMONG THREE SPECIES WITH UNLIMITED RESOURCES

Abstract

The aim of the present paper is to investigate mutualistic interactions among three species model in an ecosystem. The model is characterized by a system of first order non-linear ordinary differential equations. We study three cases: (1) The death rate of any one (say third) species is greater than its birth rate. (2) The death rate of any two (say second and third) species are greater than their birth rate. (3) The death rate of all the species are greater than their birth rate. Further, the local stability analysis of the system is carried out analytically as well as numerically.