TY - JOUR
T1 - Almost Periodic Solution of a Nonautonomous Modified Leslie-Gower Predator-Prey Model with Nonmonotonic Functional Response and a Prey Refuge
AU - Chen , Jinhuang
JO - Annals of Applied Mathematics
VL - 1
SP - 32
EP - 46
PY - 2022
DA - 2022/06
SN - 34
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20560.html
KW - predator, prey, permanence, global stability.
AB - <p style="text-align: justify;">A nonautonomous modified Leslie-Gower predator-prey model with non-monotonic functional response and a prey refuge is proposed and studied in this
paper. Sufficient conditions which guarantee the permanence, extinction of the
prey species and the global stability of the system are obtained, respectively.
Also, by constructing a suitable Lyapunov function, some sufficient conditions
are obtained for the existence of a unique globally attractive positive almost
periodic solution of this model. Our results indicate that the prey refuge has
positive effect on the coexistence of the species. Examples together with their
numeric simulation show the feasibility of our main results.</p>