Year: 2020
Author: Xueru Lin
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 235–247
Abstract
A diffusive predator-prey system with Holling-Tanner functional response and no-flux boundary condition is considered in this work. By using upper and lower solutions combined with iteration method, sufficient condition which ensures the global asymptotical stability of the unique positive equilibrium of the system is obtained. It is shown that the prey refuge and the proportional harvesting can influence the global asymptotical stability of unique positive equilibrium of the system, furthermore, they can change the position of the unique interior equilibrium and make species coexist more easily.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18584
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 235–247
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: reaction-diffusion system iteration method global asymptotical stability prey refuge proportional harvesting.