TY - JOUR
T1 - Stability Property of a Predator-Prey System with a Constant Proportion of Prey Refuge and Stage-Structure for Prey Species
AU - Li , Tingting
JO - Annals of Applied Mathematics
VL - 3
SP - 289
EP - 307
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20611.html
KW - predator-prey, stage-structure, refuge, global stability.
AB - <p style="text-align: justify;">A predator-prey system with a constant proportion of prey refuge and
stage-structure for prey species is proposed and studied in this paper. A set of
conditions for the permanence of the system is obtained. The local stability of
the system is discussed by the sign of eigenvalues. Furthermore, by using the
iterative method, some suitable sufficient conditions for the global attractivity
of the interior equilibrium is obtained. Our study shows that the constant
proportion of prey refuge could lead to more complicated dynamic behaviors.
Numerical simulations are also presented to illustrate the feasibility of the main
results.</p>