TY  - JOUR
AU  - Liu, Xiaowan
AU  - Yue, Qin
PY  - 2022
TI  - Stability property of the boundary equilibria of a symbiotic model of commensalism and parasitism with harvesting in commensal populations
JO  - AIMS Mathematics
SP  - 18793
EP  - 18808
VL  - 7
IS  - 10
AB  - This article demonstrates the stability property of two boundary equilibria of a symbiotic model of commensalism and parasitism with harvesting in the commensal population. The model was proposed by Nurmaini Puspitasari, Wuryansari Muharini Kusumawinahyu, Trisilowati (2021). We first give two numeric examples to show that the corresponding results of the mentioned paper may be incorrect. Then, by analysis of the characteristic roots of the characteristic equations, we obtain sufficient conditions that ensure the locally asymptotic stability of the equilibria. After that, by applying the standard comparison theorem, some novel results on the global attractivity of these two equilibria are obtained respectively. Our results complement and supplement some known results.
UR  - https://doi.org/10.3934/math.20221034
DO  - 10.3934/math.20221034