The ANZIAM Journal

Research Article

On a periodic mutualism model

Yongkun Lia1

a1 Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China.

Abstract

Sufficient conditions are obtained for the existence of a globally attracting positive periodic solution of the mutualism model

S1446181100012293_eqnU1

where ri, Ki, αi xs2208 C(R, R+) and αi > Ki, i = 1, 2, τi, σi xs2208 C(R, R+), i = 1, 2, and ri, Ki, αi, τi, σi (i = 1, 2) and functions of period ω > 0.

(Received October 04 1996)

(Revised July 18 2000)