Sy. Tang et al., POSITIVE PERIODIC-SOLUTIONS OF COMPETITIVE KOLMOGOROV DIFFUSION-SYSTEMS WITH INTERFERENCE CONSTANTS, Mathematical and computer modelling, 27(6), 1998, pp. 39-47
In this paper, we consider the positive periodic solutions of multispe
cies patches connected by discrete diffusion with a within-patch dynam
ics of periodic Kolmogorov type. A new criterion for existence and glo
bally asymptotic stability of positive periodic solution is establishe
d. The results in [1-4] are improved and extended.