A two species commensalism model with limited resources- A numerical approach

Abstract

In this paper a mathematical model of commensalism between two species (S 1 and S 2) with limited resources is investigated. The commensal species (S 1), in spite of the limitation of its natural resources flourishes drawing strength from the host species (S 2). This model is characterized by a pair of first order non-linear coupled differential equations. All the four equilibrium points of the model are identified and the criteria for the stability are discussed. The non-linear coupled system-equations are solved numerically by employing fourth order Runge-Kutta method and the results are presented. Further, some threshold results are stated.