Global Stability of Symbiotic Model of Commensalism and Parasitism with Harvesting in Commensal Populations

Abstract

This article revisit the stability property of symbiotic model of commensalism and parasitism with harvesting in the commensal population. The model was proposed by Nurmaini Puspitasari, Wuryansari Muharini Kusumawinahyu, Trisilowati (Dynamic analysis of the symbiotic model of commensalism and parasitism with harvesting in commensal populations, Jurnal Teori dan Aplikasi Matematika, 2021, 5(1): 193-204). By establishing three powerful Lemmas, sufficient conditions which ensure the global stability of the equilibria are obtained.