TY - JOUR
A2 - Vecchio, Antonia
AU - Wei, Chunjin
AU - Chen, Lansun
PY - 2009
DA - 2010/02/24
TI - Global Dynamics Behaviors of Viral Infection Model for Pest Management
SP - 693472
VL - 2009
AB - According to biological strategy for pest control, a mathematical model with periodic releasing virus particles for insect viruses attacking pests is considered. By using Floquet's theorem, small-amplitude perturbation skills andcomparison theorem, we prove that all solutions of the system are uniformly ultimately bounded and there exists a globally asymptotically stable pest-eradication periodic solution when the amount of virus particles released is larger than some critical value. When the amount of virus particles released is less than some critical value, the system is shown to be permanent, which implies that the trivial pest-eradication solution loses its stability. Further, the mathematical results are also confirmed by means ofnumerical simulation.
SN - 1026-0226
UR - https://doi.org/10.1155/2009/693472
DO - 10.1155/2009/693472
JF - Discrete Dynamics in Nature and Society
PB - Hindawi Publishing Corporation
KW -
ER -