TY - JOUR
T1 - The Effect of Refuge and Proportional Harvesting for a Predator-Prey System with Reaction-Diffusion
AU - Lin , Xueru
JO - Annals of Applied Mathematics
VL - 3
SP - 235
EP - 247
PY - 2021
DA - 2021/01
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18584.html
KW - reaction-diffusion system, iteration method, global asymptotical stability, prey refuge, proportional harvesting.
AB - <p style="text-align: justify;">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.</p>