TY - JOUR
T1 - Periodic solutions for a predator-prey model with Holling-type functional response and time delays
A1 - Xu,Rui
A1 - Chaplain,M. A. J.
A1 - Davidson,F. A.
AU - Xu,Rui
AU - Chaplain,M. A. J.
AU - Davidson,F. A.
PY - 2005
Y1 - 2005
N2 - A delayed periodic Holling-type predatorâ€“prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results.
AB - A delayed periodic Holling-type predatorâ€“prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results.
KW - Predator-prey system
KW - Time delay
KW - Periodic solution
KW - Lyapunov functional
KW - Global stability
U2 - 10.1016/j.amc.2003.12.054
DO - 10.1016/j.amc.2003.12.054
M1 - Article
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 2
VL - 161
SP - 637
EP - 654
ER -