A HOST-COMMENSAL ECO-SYSTEM WITH HOST HARVESTING AT A CONSTANT RATE AND MORTALITY RATE FOR THE COMMENSAL

This paper deals with a commensal-host ecological model with the host being harvested at a constant rate. Further, both the commensal and the host species are with limited resources. The Mathematical equations of the Model are characterized by a couple of first order non-linear ordinary differential equations. All the possible, six equilibrium points for the model are identified. Analytical solutions for the linearized perturbed equations are found and results are illustrated. Further, some threshold results are stated followed by the identification of threshold regions through illustrations. Criteria for global stability of linearized equations are discussed employing a properly constmcted Liapunov's function.