Periodic solutions of a predator-prey model with stage structure for predator. / Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
In: Applied Mathematics and Computation, Vol. 154, No. 3, 2004, p. 847-870.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Periodic solutions of a predator-prey model with stage structure for predator
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 - 2004
Y1 - 2004
N2 - A delayed periodic predator–prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.
AB - A delayed periodic predator–prey model with stage structure for predator is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results.
KW - Stage structure
KW - Predator-prey model
KW - Periodic solution
KW - Time delay
U2 - 10.1016/S0096-3003(03)00753-7
DO - 10.1016/S0096-3003(03)00753-7
M1 - Article
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
IS - 3
VL - 154
SP - 847
EP - 870
ER -