An approximate threshold condition for non-autonomous system: An application to a vector-borne infection
A non-autonomous system is proposed to model the seasonal pattern of dengue fever. We found that an approximate threshold condition for infection persistence describes all possible behaviors of the system. As far as we know, the kind of analysis here proposed is entirely new. No precise mathematical theorems are demonstrated but we give enough numerical evidence to support the conclusions. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
thresholds non-autonomous systems dengue stability analysis epidemics