Periodic solutions of a predator–prey model with stage structure for predator. (English) Zbl 1048.92035

Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.

Appl. Math. Comput. 154, No. 3, 847-870 (2004).

Summary: 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.

© Elsevier Inc.

MSC:

92D40	Ecology
34K13	Periodic solutions to functional-differential equations
34K20	Stability theory of functional-differential equations
92D25	Population dynamics (general)
34K60	Qualitative investigation and simulation of models involving functional-differential equations

Keywords:

uniform persistence

Software:

dde23

References:

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